Isometric perspective refers to a system of diagonal lines that are parallel without converging. This perspective is commonly used in technical drawings and architectural illustrations to represent three-dimensional objects in a visually balanced and proportional manner.
Isometric perspective is a method of representing three-dimensional objects on a two-dimensional surface. It involves creating an illusion of depth and dimension by using a specific set of rules for drawing lines and angles. Isometric perspective is characterized by the use of parallel lines that remain parallel and do not converge, creating a sense of uniformity and stability in the representation.
In isometric perspective, the lines are typically drawn at a 30-degree angle from the horizontal plane. This angle creates a sense of depth and allows for accurate scaling of the object's dimensions. The vertical lines remain vertical, while the horizontal lines are drawn at a 30-degree angle to the horizontal plane.
Unlike other perspective techniques, such as linear perspective, isometric perspective does not include vanishing points or converging lines. Instead, it relies on the principle that all lines that are parallel in reality remain parallel in the isometric representation.
By following the rules of isometric perspective, an artist or designer can accurately depict the three-dimensional qualities of an object in a two-dimensional format. This technique is widely used in technical drawings, architectural illustrations, and engineering diagrams, as it provides a clear and consistent representation of objects from various angles.
for such more question on Isometric
https://brainly.com/question/4289712
#SPJ8
Why does the fraction 20/25 not belong with 1/20, 2/3 and 5/4?
help plsssssss homewrok do taday
-2x - 3y = 6
Answer:
x=0/y=-2
y=0/x=-3
....∞
Step-by-step explanation:
Thanks! easpoddddddd
Answer:
[tex]-\frac{8}{7}\\or\\= -1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-\frac{3}{7}\div \frac{3}{8}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{3}{7}\times \frac{8}{3}\\\\=-\frac{8}{7}\\\\= -1\frac{1}{7}[/tex]
help me piz piz piz
.......................
Answer:
see explanation
Step-by-step explanation:
Dividing 10.5 by 5 gives the number of trees required for 1 cabin.
10.5 ÷ 5 = 2.1 ← trees , thus
3 cabins = 3 × 2.1 = 6.3
7 cabins = 7 × 2.1 = 14.7
Thus
number of trees number of cabins
--------------------------------------------------------
10.5 5
6.3 3
14.7 7
Answer:
7 cabins = 14.7 trees & 3 cabins = 6.3 trees
Step-by-step explanation:
Divide 10.5 by 5 to get how many trees it takes to make ONE cabin.
10.5/5=2.1
ONE cabin needs 2.1 trees to be existent. This can help you figure out how many trees it takes to make any number of cabins.
The ratio for one cabin = 2.1:1
Multiply this by 3 to get how many trees you need for 3 cabins.
2.1*2=6.3 trees needed to make 3 cabins
Do the same for 7 cabins.
2.1*7=14.7 trees needed to build 7 cabins.
Find the following indefinite integrals (show steps): (2 ) (323 + 5 +2') do ( b ) 5 + 2sin I di COS' I 8. A point P moves along the x-axis so that its position x at time t is given by I = 2t3 - 15t2 + 36t + 4. (a) Find the velocity and acceleration of P at time t.
a. The acceleration of P at time t is a(t) = 12t - 30.
b. The indefinite integral of 5 + 2sin^2(x) dx is 6x - (1/2)sin(2x) + C, where C is the constant of integration.
(a) To find the velocity and acceleration of point P at time t, we need to differentiate the position function x(t) = 2t^3 - 15t^2 + 36t + 4 with respect to time.
Given:
x(t) = 2t^3 - 15t^2 + 36t + 4
Velocity:
The velocity of P is given by the derivative of the position function, which is the first derivative of x(t).
v(t) = dx/dt
Differentiating x(t) with respect to t:
v(t) = d/dt(2t^3 - 15t^2 + 36t + 4)
= 6t^2 - 30t + 36
Therefore, the velocity of P at time t is v(t) = 6t^2 - 30t + 36.
Acceleration:
The acceleration of P is given by the derivative of the velocity function, which is the second derivative of x(t).
a(t) = dv/dt
Differentiating v(t) with respect to t:
a(t) = d/dt(6t^2 - 30t + 36)
= 12t - 30
Therefore, the acceleration of P at time t is a(t) = 12t - 30.
(b) The indefinite integral of 5 + 2sin^2(x) dx:
∫(5 + 2sin^2(x)) dx
Using the identity sin^2(x) = (1/2)(1 - cos(2x)):
∫(5 + (2/2)(1 - cos(2x))) dx
∫(5 + (1 - cos(2x))) dx
∫(6 - cos(2x)) dx
Integrating term by term:
∫6 dx - ∫cos(2x) dx
Integrating each term:
6x - (1/2)sin(2x) + C
Therefore, the indefinite integral of 5 + 2sin^2(x) dx is 6x - (1/2)sin(2x) + C, where C is the constant of integration.
Learn more about integral from
https://brainly.com/question/30094386
#SPJ11
Scientists measured the annual forest loss (in square kilometers) in a country from 2000 to 2012. They found the regression line forest loss 7600 (1021 x year since 2000) for predicting forest loss in square kilometers from years since 2000 (a) What is the slope of this line? km2 1021 Say in words what the numerical value of the slope tells you O For each year since 2000, forest loss averages about 7600 km2 o For each year since 2000, forest loss averages about 1021 km2 For each year since 2012, forest loss averages about 1021 km2 O For each year since 2000, forest loss averages about 1.021 km2. O For each year since 2012, forest loss averages about 7600 km2. (b) If we measured forest loss in square meters per year, what would the slope be? Note that there are 106 square meters in a square kilometer. m2 (c) If we measured forest loss in thousands of square kilometers per year, what would the slope be? (Enter your answer to three decimal places.) thousands of km2
a) The slope of the line is 1021 km2/year. This means that for each year since 2000, forest loss averages about 1021 km2.
b) If we measured forest loss in square meters per year, the slope would be 1021*10^6 = 1.021*10^9 m2/year.
c) If we measured forest loss in thousands of square kilometers per year, the slope would be 1021/1000 = 1.021.
Here is the explanation for each answer choice:
For each year since 2000, forest loss averages about 7600 km2. This is incorrect because the slope of the line is 1021 km2/year, not 7600 km2/year.
For each year since 2000, forest loss averages about 1021 km2. This is correct.
For each year since 2012, forest loss averages about 1021 km2. This is incorrect because the data only goes up to 2012.
For each year since 2000, forest loss averages about 1.021 km2. This is incorrect because the slope of the line is 1021 km2/year, not 1.021 km2/year.
For each year since 2012, forest loss averages about 7600 km2. This is incorrect because the data only goes up to 2012.
Learn more about slope and unit conversions here:
https://brainly.com/question/13804669
#SPJ11
5+6-1+5=? Please and thank you
The ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3. If you draw a double number line diagram that would show the number of crocodiles if there were 20 hippos, how may crocodiles would you have? Group of answer choices
Answer: 15 crocodriles
Step-by-step explanation:
We know that the ratio is 4:3
This means that for each 4 hippos, we have 3 cocodriles.
We know that there are 20 hippos.
How many groups of 4 hippos we have?
n = 20/4 = 5
So we have 5 groups of 4 hippos, this means that we also have 5 groups of 3 crocodiles, then we have:
3*5 = 15 crocodiles
Write and Solve a real-world problem using -8 +19.
(Please help 25 pts and brainliest thanks)
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwωωωωωωω
Answer:
the answer is w
Step-by-step explanation:
A solid-gold jewelry box was found in the underwater palace of Cleopatra just off the shore of Treasure City. The length of the rectangular box is
37
centimeters less than triple
the width. The perimeter of the box is
198
centimeters. Find the length and width of Cleopatra's solid-gold jewelry box
The length of Cleopatra's solid-gold jewelry box is 65 centimeters, and the width is 34 centimeters.
Let's denote the width of the jewelry box as 'x' centimeters. According to the given information, the length of the box is 37 centimeters less than triple the width, which can be expressed as '3x - 37' centimeters.
The perimeter of a rectangle is given by the formula: P = 2(length + width). In this case, we have the perimeter as 198 centimeters. Substituting the values into the formula, we can set up the equation:
198 = 2(3x - 37 + x)
Simplifying the equation:
198 = 2(4x - 37)
99 = 4x - 37
4x = 99 + 37
4x = 136
x = 34
The width of the jewelry box is 34 centimeters. Now we can find the length by substituting the value of 'x' back into the expression for the length:
Length = 3x - 37
Length = 3(34) - 37
Length = 102 - 37
Length = 65
Learn more about perimeter and rectangle measurements here:
https://brainly.com/question/20887059
#SPJ11
1.) What is the slope, x- intercept and y-intercept of the equation 3y + 7x = 9?
2.) If x = -3, what is the value of y in 3x – 4y = 6?
3.) Complete the table of values below when 2x + 3y = 4
x. y. (x,y)
-2
-1
4.)If y = 5, what is the value of x in 5x + 2y = 10?
5.) What are the slope and y-intercept of 7x – 5y = 5?
1) The equation 3y + 7x = 9 can be rearranged into slope-intercept form as y = (-7/3)x + 3. The slope is -7/3, the x-intercept is (3, 0), and the y-intercept is (0, 3).
2) Substituting x = -3 into the equation 3x - 4y = 6 gives -9 - 4y = 6. Solving for y, we find y = -3/2.
3) For the equation 2x + 3y = 4, we can fill in the table of values by substituting different x-values and solving for y: (-2, 4/3), (-1, 2/3).
4) When y = 5 in the equation 5x + 2y = 10, substituting the value gives 5x + 2(5) = 10. Solving for x, we get x = 0.
5) The equation 7x - 5y = 5 can be rearranged as y = (7/5)x - 1. The slope is 7/5, and the y-intercept is (0, -1).
1) To find the slope, we can rearrange the equation 3y + 7x = 9 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. By isolating y, we get y = (-7/3)x + 3, so the slope is -7/3. The x-intercept can be found by setting y = 0 and solving for x: 3(0) + 7x = 9, which gives x = 3/7. Therefore, the x-intercept is (3/7, 0). Similarly, the y-intercept is found by setting x = 0 and solving for y: 3y + 7(0) = 9, which gives y = 3/7. Hence, the y-intercept is (0, 3/7).
2) To find the value of y when x = -3 in the equation 3x - 4y = 6, we substitute x = -3 and solve for y. Substituting -3 for x, we have 3(-3) - 4y = 6, which simplifies to -9 - 4y = 6. Solving for y, we move -9 to the right side by adding 9 to both sides, resulting in -4y = 15. Dividing both sides by -4, we find y = -3/2.
3) To complete the table of values for the equation 2x + 3y = 4, we substitute different x-values and solve for y. For x = -2, we have 2(-2) + 3y = 4, which simplifies to -4 + 3y = 4. Solving for y, we add 4 to both sides, giving 3y = 8. Dividing by 3, we find y = 8/3, so the point is (-2, 8/3). Similarly, for x = -1, we have 2(-1) + 3y = 4, which simplifies to -2 + 3y = 4. Solving for y, we add 2 to both sides, resulting in 3y = 6. Dividing by 3, we find y = 2, so the point is (-1, 2).
4) To determine the value of x when y = 5 in the equation 5x + 2y = 10, we substitute y = 5 into the equation. Substituting 5 for y, we have 5x + 2(5) = 10, which simplifies to 5x + 10 = 10. Solving for x, we move 10 to the right side by subtracting 10 from both sides, giving 5x = 0. Dividing both sides by 5, we find x = 0.
5) The equation 7x - 5y = 5 can be rearranged into slope-intercept form. By isolating y, we get -5y = -7x + 5, and dividing by -5 yields y = (7/5)x - 1. Comparing this form to y = mx + b, we can determine that the slope is 7/5 and the y-intercept is (0, -1).
Learn more about x-intercept here:
https://brainly.com/question/32051056
#SPJ11
Please help! Write the inequality. I will mark brainliest!
The quotient of a number x and 5 is greater than 12.
Answer:
76,105
Step-by-step explanation:
A shark can chase prey at about 30 miles per hour. What is this rate in miles per minute
Answer:
0.5 miles per minute
Step-by-step explanation:
0.5 miles per minute
3x^2 - 4x = 6x - 3
solving equations by factoring
Answer:
x= -1/3
x=3
Step-by-step explanation:
3x²-4x=6x-3
3x²-10x+3=0
find 2 numbers that multiply to make 9 and add to make -10 == -1 and -9
3x²-9x-x+3=0 (factorise)
3x(x-3)-1(x-3)=0
(3x-1)(x-3)=0
x= -1/3
x=3
A person riding in an elevator travels 210 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
Answer:
70
10=70
70x3 = 210
To Buy or To Rent After university, you got a new job. Then you decide to rent a spacious two-story townhouse for $2,000 per month, which included parking but not utilities or cable television. You enjoyed the neighborhood. A while later, the next-door identical townhouse became available. You can purchase it for $350,000. You wonder if this is a good time for you to own your first home. You decide to consult family at a gathering. Members of your family had given you mixed opinions around the buy versus rent debate. Some family suggested that you should buy because the home will appreciate and increase in value over time. Others suggested that rent is better because it gave you flexibility to move and it is cheaper to rent. You could not decide which way to do. In organizing your house after the dinner, you found your notes from Engineering Economics. You remembered that some of the math you learnt can be used for project evaluation. You decided to conduct a financial analysis to help you understand which option is better. If you purchase the home, you will start to pay a maintenance fee of $350 per month. On top of that, you will also need to pay for annual property tax of $3,600, which can be paid monthly. As a first-time buyer, you qualify for 5% down payment. If you choose this option, you will have to include a default insurance of $15,000 as part of your mortgage. To avoid the insurance, you will need to provide 20% of down payment. You will also need about $2,000 for your lawyer to close the deal in either case. You are prequalified for a five-year closed conventional mortgage with an interest rate of 5.5%, compounded semiannually. You hope to amortize the mortgage in 25 years with monthly payments. At the end of the five-year term, you have the option to pay off the mortgage in full without penalty. You are currently earning $5,000 per month and have a saving of $80,000 in the bank account earning 4.5% interest rate, compounded monthly. Your currently spend another $1,500 for living cost, assuming this will stay the same if your purchase. Any unspent amount is being put into your saving account. Your hope is to move to a large home in 5 years regardless. In the event of purchasing, you will sell the home at the market price at the time, plus 5% of the transaction price for retailer, and another $2,000 for legal. Assuming the interest rate are stable, and ignoring inflation, which of the following options should you choose if the house price remains unchanged, and what about the price goes up by 15% ? 1) To rent 2) To buy with 5% down 3) To buy with 20% down Please conduct a financial analysis by calculating the different scenarios, you should state what are some relevant considerations, your assumptions for the financial model, and your recommendations. Particularly, you should explain what cash flows are considered for the analysis, and what are not.
Previous question
Next question
Based on the financial analysis, the recommended option would be to buy the townhouse with a 20% down payment if the house price remains unchanged or increases by 15%.
The financial analysis takes into account several factors. The cash flows considered include the monthly mortgage payments, maintenance fees, property taxes, closing costs, and potential proceeds from selling the house in the future. The analysis also considers the interest earned on savings and living expenses.
By comparing the costs and potential returns of renting versus buying, it becomes evident that purchasing the townhouse offers better financial prospects. The appreciation in the value of the home over time, along with the equity gained through mortgage payments, can outweigh the expenses associated with owning the property. Additionally, the down payment of 20% eliminates the need for default insurance and reduces the overall interest paid on the mortgage, making it a more favorable option.
Furthermore, owning a home provides the benefit of building equity and stability. It allows for personalization and potential improvements to the property. Although renting offers flexibility, the financial analysis suggests that the long-term benefits of homeownership outweigh the advantages of renting in this scenario.
Learn more about factors here: brainly.com/question/14549998
#SPJ11
You borrow $30,000 to buy a car. The loan is to be paid off in 10 equal quarterly payments at 6% interest annual interest rate. The first payment is due one quarter from today. What is the amount of each quarterly payment (rounded)? A. $1,777. B. $2,803. C. $3,253. D. None of the above.
The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).
To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.
Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.
Learn more about Whole number here: brainly.com/question/19161857
#SPJ11
Solve and find the value of X : 21=11×(1−x/0.4)+17 [enter your answer with 3 decimals]
We are given an equation involving the variable x and we need to solve for its value.
The given equation is 21 = 11 * (1 - x/0.4) + 17.
To find the value of x, we will isolate it on one side of the equation.
Let's simplify the equation step by step: 21 = 11 * (1 - x/0.4) + 17
First, we can simplify the expression inside the parentheses: 21 = 11 - 11 * x/0.4 + 17.
Next, we can simplify further by combining like terms:21 = 28 - 11 * x/0.4
To eliminate the fraction, we can multiply both sides of the equation by 0.4: 0.4 * 21 = 0.4 * (28 - 11 * x/0.4. 8.4 = 11 * (28 - 11 * x/0.4)
Now, we can distribute the 11: 8.4 = 308 - 44 * x
To isolate x, we can subtract 308 from both sides: 8.4 - 308 = -44 * x . -299.6 = -44 * x
Finally, we can solve for x by dividing both sides by -44: x = -299.6 / -44 ≈ 6.809
Learn more about fraction here:
https://brainly.com/question/10708469
#SPJ11
Due Date: Oct 03 8:00 AM - Oct 04 8:00 AM Consider two equations describing the relationship between three variables X,Y1, and Y2 : X=a+bYl,X=c−dY2, where a,b,c, and d, are positive, known constants (numbers). The objective is to find values of X,Yl, and Y2 for which both equations are satisfied and as well Y1=Y2. a. How many unknown variables are there? Clearly identify them. How many equations are there? Clearly identify them. Note that there should be as many equations as unknown variables. When this is the case, a unique solution exists. (Try to convince yourself that having only (1) and (2) Page 3 of 5
There are three unknown variables in the given problem, which are X, Y1, and Y2. There are also three equations, which are X=a+bY1, X=c−dY2, and Y1=Y2.
Each equation relates to one unknown variable, and there is one additional equation that equates Y1 and Y2.
Having as many equations as unknown variables is important to determine a unique solution. In this case, since we have three equations and three unknown variables, a unique solution exists.
The first equation, X=a+bY1, relates X to Y1. It states that X is equal to the sum of a and b times Y1. This equation represents the relationship between X and Y1.
The second equation, X=c−dY2, relates X to Y2. It states that X is equal to the difference between c and d times Y2. This equation represents the relationship between X and Y2.
The third equation, Y1=Y2, equates Y1 and Y2, meaning they are equal to each other. This equation ensures that Y1 and Y2 have the same value.
By simultaneously solving these three equations, we can find values for X, Y1, and Y2 that satisfy all the equations and maintain the equality between Y1 and Y2. The solution will provide a unique combination of values for the variables that satisfy the given relationships.
Learn more about Equations here:
brainly.com/question/29538993
#SPJ11
helpp !!! I will mark as brainliest
helppppppppppp
From left to right
1. -1.0
2. -1/4
3. 1(1/4)
solution is on the picture attached
Hope this helps
3 ones is equivalent to 30 tenths. Divide 30 tenths by 11 ones on the algorithm. Then multiply and subtract to show how many tenths you have left.
After performing the multiplication and subtraction, we are left with 0.3 tenths.
To solve the problem, let's first convert the given information into a mathematical equation:
3 ones = 30 tenths
Now, let's divide 30 tenths by 11 ones using long division:
The result is 2.7. This means that when we divide 30 tenths by 11 ones, the quotient is 2.7.
Next, let's multiply 2.7 by 11 to get the product:
2.7 * 11 = 29.7
Subtracting 29.7 from 30 tenths:
30 - 29.7 = 0.3
Therefore, after performing the multiplication and subtraction, we are left with 0.3 tenths.
To summarize, dividing 30 tenths by 11 ones using the long division algorithm gives us a quotient of 2.7. When we multiply this quotient by 11 and subtract it from 30 tenths, we are left with 0.3 tenths.
It's important to note that the given problem involves converting between ones and tenths, which can be achieved by dividing or multiplying by 10. In this case, 3 ones is equivalent to 30 tenths, allowing us to perform the division and subsequent calculations.
For more question on multiplication visit:
https://brainly.com/question/29793687
#SPJ8
3+1[tex]\frac 121+3\\[/tex]
If the median house price in your area is $350,000, and the 30 -year mortgage rate is %5, how expensive of a house can you afford if you have a downpayment of $15,000. Assume you make $90,000 a year.
With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.
To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.
First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.
Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.
Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.
To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.
As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.
Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.
Learn more about down payment here:-
https://brainly.com/question/28765137
#SPJ11
60 degrees
40 degrees
130 degrees
120 degrees
Answer: 60 is your answer
Answer:
d. 120 i hope this helped
Remove as many parentheses as possible without changing the meaning of the condition: a) if ((((x + 2) > a) || ((x - 2) < b)) && (y >= 10)) b) if ((( a >= b) && (a >= c)) && ((a % 2) == 0))
a) if (((x + 2) > a || (x - 2) < b) && y >= 10)
Removing as many parentheses as possible without changing the meaning of the condition, the answer is given as follows:
Given Condition: if ((((x + 2) > a) || ((x - 2) < b)) && (y >= 10))
First of all, from this condition, we can simplify the equation as given below: if ((x + 2) > a || (x - 2) < b && y >= 10)
Now, we will remove one more set of parentheses from the right-hand side of the condition, the answer is given below: if ((x + 2) > a || x - 2 < b && y >= 10)
b) if ((a >= b && a >= c) && a % 2 == 0)
Removing as many parentheses as possible without changing the meaning of the condition, the answer is given below:
Given Condition: if (((a >= b) && (a >= c)) && ((a % 2) == 0))
Now, we can simplify the equation as given below: if (a >= b && a >= c && a % 2 == 0)
Hence, the required answer is if (((x + 2) > a || (x - 2) < b) && y >= 10) and if (a >= b && a >= c && a % 2 == 0).
learn more about equation here
https://brainly.com/question/29174899
#SPJ11
What is: 2763 x 6789=__?
Answer: 18758007
Step-by-step explanation:
its a easy explanation like so if you have 2763 something and you add 6789 together it makes 18758007
Answer:
18758007
Hope this helps!
below, E and F are the midpoints of AC and BC,
respectively.
If EF = 2x + 8 and AB = 7x - 2, what is the
perimeter of trapezoid ABFE?
1) 36
2) 60
3) 100
4) 120
The perimeter of trapezoid ABFE is 120 units. Option 4.
To find the perimeter of trapezoid ABFE, we need to determine the lengths of its sides.
Given that E and F are the midpoints of AC and BC respectively, we know that EF is parallel to AB and half its length. Therefore, we can say that EF = 1/2 * AB.
We are given the expression EF = 2x + 8 and AB = 7x - 2. Using the relationship between EF and AB, we can set up an equation:
2x + 8 = 1/2 * (7x - 2)
To solve for x, we first multiply both sides of the equation by 2 to eliminate the fraction:
4x + 16 = 7x - 2
Next, we simplify the equation by subtracting 4x from both sides:
16 = 3x - 2
Add 2 to both sides to isolate 3x:
18 = 3x
Divide both sides by 3 to solve for x:
x = 6
Now that we have found the value of x, we can substitute it back into the expression for AB to find its length:
AB = 7x - 2 = 7(6) - 2 = 40
Since EF = 1/2 * AB, we can calculate the length of EF:
EF = 1/2 * AB = 1/2 * 40 = 20
The trapezoid has two equal sides, A F and BE, each of length EF, and two unequal sides, AB and FE.
The perimeter of the trapezoid is given by the sum of the lengths of all its sides:
Perimeter = AB + A F + FE + BE
= 40 + 20 + 20 + 40
= 120
Therefore, the perimeter of trapezoid ABFE is 120 units. The correct answer is option 4
For more question on perimeter visit:
https://brainly.com/question/19819849
#SPJ8
HELPPP PLEASE !!:///
Answer:
5x+26 because you add 5 each time
I NEED HELP RIGHT NOW!
What is the value of the 2 in 0.429 (decimals)
Answer:
The value of 2 is in the hundredths places
Step-by-step explanation:
