Answer:
Below
Step-by-step explanation:
Calculate the unit price of $ per ounce of the 4 options to find the smallest
$2 / 4 = .50 per ounce
4.25 /8 = .53
6/12 = .50
6.75/18 = .375 per ounce <=====cheapest
A sample of 200 high school students were asked how many hours per week they spend watching television.The following frequency distribution presents the results.Construct a relative frequency ogive for the frequency distribution.
The ogive curve for the data has to be obtained by first converting the data into a continuous class one and then plotting the less than cumulative frequency table obtained.
Here we have the data
0-3.9 4.0-7.9 8.0-11.9 12.0-15.9 16.0-19.9 20.0-23.9 24.0-27.9
63 26 24 37 23 11 16
Now first we need to convert this to a continuous distribution
We will get
Classes Frequency
-0.95-3.95 63
3.95-7.95 26
7.95-11.95 24
11.95-15.95 37
15.95-19.95 23
19.95-23.95 11
24.0-27.95 16
Now we need to construct a less than table
Less than Cumulative frequency
3.95 63
7.95 89
11.95 113
15.95 150
19.95 173
23.95 184
27.95 200
Now to make an Ogive curve we need to plot the less than column at the x-axis and the frequency on the y-axis. Then draw a free hand line to connect all the points. This will give us our ogive curve
To learn more about Ogive visit
https://brainly.com/question/13443202
#SPJ4
Complete Question
A sample of 200 high school students was asked how many hours per week they spend watching television. The following frequency distribution presents the results.
0-3.9 4.0-7.9 8.0-11.9 12.0-15.9 16.0-19.9 20.0-23.9 24.0-27.9
63 26 24 37 23 11 16
Construct a relative frequency ogive for the frequency distribution.
Find the next two terms in the geometric sequence: 3, -9, 27,
Answer:
- 81, 243
Step-by-step explanation:
to obtain a term in a geometric sequence, multiply the previous term by the common ratio r
here r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-9}{3}[/tex] = - 3
then
27 × - 3 = - 81
- 81 × - 3 = 243
the next two terms are - 81 and 243
Consider the number -45 lines shown below which shows jump from one number to another. There are four different arrows, starting from the number
. Match the number lines given in the first column with the correct mathematical expression that results in the number on the other side of the arrow.
The Number line 1 : -45 - 20 + 5
Number line 2 : -45 + 35 - 15
Number line 3 :-45 + 10 + 5
Number line 4:-45 + 30 - 20
What is a number line ?A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. How a number is utilized depends on the issue it is associated with, such as when graphing a point
Number lines offer a method for mentally adding and subtracting. It's simple to see them as a type of support system for those in need, but this is untrue. They are crucial because they encourage effective mental arithmetic techniques, according to research.
The Number line 1 :
-45 to -60 so the jump is -15 = -45 - 20 + 5
Number line 2 :
-45 to -25 so the jump is +20 = -45 + 35 - 15
Number line 3 :
-45 to -30 so the jump is +15 = -45 + 10 + 5
Number line 4:
-45 to -35so the jump is +10 = -45 + 30 - 20
To learn more about Number line refer to :
https://brainly.com/question/13189025
#SPJ1
Cam identified a point that was 4 units above the origin and
8 units to the right of the origin. What was the ordered pair?
The ordered pair that Cam identified is given as follows:
(8,4).
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
For the x-coordinate, we have that:
If it is positive, the point is x units right of the origin.If it is negative, the point is x units left of the origin.The point in this problem was 8 units right, hence the x-coordinate is given as follows:
x = 8.
For the y-coordinate, we have that:
If it is positive, the point is y units above of the origin.If it is negative, the point is y units below of the origin.The point in this problem is 4 units above the origin, hence the y-coordinate is given as follows:
y = 4.
More can be learned about ordered pairs at https://brainly.com/question/1528681
#SPJ1
in the diagram below 0 is the centre of the circle and ca and CB are tangent to the circle at a and b respectively if 80 B is equal to 48 degree find angle aob and angle ACB
i thinkAnswer:152
Step-by-step explanation:
[tex]45 \sqrt{7930.45} [/tex]
can you answer for me please
The value of [tex]$$45 \sqrt{7930.45}$$[/tex] be 4007.38833.
What is meant by square root?When multiplied by itself, a square root value equals the original value. There are four ways to calculate the square root: prime factorization, repeated subtraction, long division, and the estimation approach.
Using the square root function, you can convert rational numbers into algebraic numbers (which are a subset of rational numbers). The Euclidean norm (and distance) and generalizations like Hilbert spaces both depend on the square root of a nonnegative number.
Squares are the results of multiplying an integer by itself. Alternatively, the square root of an integer is a value that, when multiplied by itself, returns the original value.
Let the equation be [tex]$$45 \sqrt{7930.45}$$[/tex]
[tex]$$\begin{aligned}& \sqrt{7930.45}=89.05307 \ldots \\& =45 \cdot 89.05307 \ldots\end{aligned}$$[/tex]
= 4007.38833
Therefore, the value of [tex]$$45 \sqrt{7930.45}$$[/tex] be 4007.38833.
To learn more about square root refer to:
https://brainly.com/question/428672
#SPJ1
The value of be 4007.38833.
What is meant by square root?When multiplied by itself, a square root value equals the original value.There are four ways to calculate the square root: prime factorization, repeated subtraction, long division, and the estimation approach.Using the square root function, you can convert rational numbers into algebraic numbers (which are a subset of rational numbers).The Euclidean norm (and distance) and generalizations like Hilbert spaces both depend on the square root of a nonnegative number.Squares are the results of multiplying an integer by itself.Alternatively, the square root of an integer is a value that, when multiplied by itself, returns the original value.Let the equation be
= 4007.38833
Therefore, the value of be 4007.38833.
To learn more about square root refer to:
brainly.com/question/428672
#SPJ1
You are loading a rental truck with 78-pound boxes and have 60 boxes to load. If the empty truck weighs 8840 pounds, then the equation gives the total weight of the truck =78+8840 if it is carrying boxes.
Suppose the truck is not legally allowed to weigh more than 13200 pounds. Will your rental truck be able to legally carry the load of 60 boxes? Explain.
If not, determine the maximum number of boxes the rental truck can legally carry.
Answer:
55 boxes
Step-by-step explanation:
Using Linear Equations:The linear equation provided is: [tex]y=78x+8840[/tex] and since we want to check if we can carry 60 boxes, we just need to weight by substituting in "60" as x and then comparing that to the limit of 13200 pounds.
[tex]y = 78(60)+8840\\\\y=4680+8840\\\\y=13,520[/tex]
This of course is over the limit of 13200 pounds but we can set up an inequality and solve for "x"
[tex]78x+8840 < 13200[/tex]
From here we subtract 8840 from both sides
[tex]78x < 4,360[/tex]
Now divide both sides by 78
[tex]x < 55.89[/tex]
now of course we can't have 55.89 boxes, so we want to round down as we can't have 56 boxes as that would go over the limit, but we can have 55 boxes.
Simplify the following
[tex] \sqrt{96} [/tex]
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}=\sqrt{(6)(16)}\sqrt{6}\sqrt{16}=4\sqrt{6}[/tex]
Find the angle between the vectors. (First, find an exact expression and then approximate to the nearest degree.) a=4i−3j+k, b=2i−k
Approximating to the nearest degree, θ = arccos(cosθ) ≈ 35°.
The angle between two vectors can be found using the dot product formula:
cosθ = (a⋅b)/(||a|| ||b||)
where ||a|| is the magnitude of vector a, and ||b|| is the magnitude of vector b.
First, let's find the magnitude of the vectors:
||a|| = √(4^2 + (-3)^2 + 1^2) = √(16 + 9 + 1) = √26
||b|| = √(2^2 + 0^2 + (-1)^2) = √5
Next, let's find the dot product of the vectors:
a⋅b = (4i−3j+k)⋅(2i−k) = 8i + 3j - k
Finally, let's substitute into the cosine formula:
cosθ = (a⋅b)/(||a|| ||b||) = (8i + 3j - k)/(√26 * √5)
To approximate the angle to the nearest degree, we can use the inverse cosine function:
θ = arccos(cosθ)
Note: The range of arccos is [0,180], so we need to use the appropriate quadrant to find the correct angle.
For more questions on Angle between the vectors
https://brainly.com/question/25661248
#SPJ4
A random sample of 300 students is selected from a large group of students who use a computer-equipped classroom on a regular basis. Occasionally, students leave their USB drive in a computer. Of the 300 students questioned, 180 said that they write their name on their USB drive. Which of the following is a 98 percent confidence interval for the population of all students using the classroom who write their name on their USB drive? 0.4 + 2.331 (0.4)(0.6) 300 (0.4)(0.6) 300 0.4 - 1.967 0.6 +2.05. (0.6)(0.4) 300 90.6. + 2.331 (0.6)(0.4) 300 0.6 I 1.96V (0.6)(0.4) 300
The 98 percent confidence interval for the population of all students using the classroom who write their name on their USB drive is B) 0.4 ± 1.967 (0.4)(0.6) / √300.
The sample proportion (p-hat) of students who write their name on their USB drive is 0.4, based on 180 out of 300 students. The sample size is large enough (n > 30) to use the normal approximation to the binomial distribution to calculate the confidence interval.
The standard error of the sample proportion is (p(1-p)/n)^0.5, where p is the population proportion and n is the sample size.
The confidence interval is calculated by adding and subtracting the critical value (1.967 for a 98 percent confidence level) multiplied by the standard error from the sample proportion. This interval provides an estimate of the true population proportion with 98 percent confidence.
For more questions like Confidence interval click the link below:
https://brainly.com/question/24131141
#SPJ4
In the diagram below of triangle JK L, M is the midpoint of JL and N is the midpoint of KL. If MN = 88 - 7x, and JK = 68 - 2x, what is the measure of JK?
NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
[tex]40x+10y=425[/tex]Given the assistant worked 5 hours less than the engineer:
[tex]y=x-5[/tex]Therefore, the system of equations that represents the problem is:
[tex]\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}[/tex]
Substitute the second equation into the first equation to eliminate y:
[tex]40x+10(x-5)=425[/tex]
Solve the equation for x to find the number of hours the engineer worked:
[tex]\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}[/tex]
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
[tex]\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}[/tex]
Therefore, the assistant worked 4.5 hours.
What equation represents the height
Answer: Option a: y = 4 + 6x
Step-by-step explanation:
Factoring polynomials maze
Factoring polynomials maze path from start to end is in the attachment.
Factoring polynomials by breaking the polynomial into its factors. We can use the greatest common factor (GCM) to find the factors of two terms.
1. x² + 5x + 6
6 = 2 × 35 = 2 + 3= x² + 2x + 3x + 6 = x (x + 2) + 3 (x + 2)
= (x + 2) (x + 3)
2. x² + x - 6
- 6 = - 2 × 31 = - 2 + 3= x² + 3x - 2x - 6 = x (x + 3) - 2 (x + 3)
= (x + 3) (x - 2)
3. x² - 4x - 12
- 12 = - 6 × 2- 4 = - 6 + 2= x² - 6x + 2x - 12 = x (x - 6) + 2 (x - 6)
= (x - 6) (x + 2)
4. x² + 7x - 8
- 8 = - 1 × 87 = - 1 + 8= x² - x + 8x - 8 = x (x - 1) + 8 (x - 1)
= (x - 1) (x + 8)
5. x² - 49
- 49 = - 7 × 70 = - 7 + 7= x² - 7x + 7x - 49 = x (x - 7) + 7 (x - 7)
= (x - 7) (x + 7)
6. 2x² + x - 6
2 × - 6 = - 12 = - 3 × 41 = - 3 + 4= 2x² - 3x + 4x - 6 = x (2x - 3) + 2 ( 2x - 3)
= (2x - 3) (x + 2)
7. 2x² + 7x + 6
2 × 6 = 12 = 3 × 47 = 3 + 4= 2x² + 3x + 4x + 6 = x (2x + 3) + 2 (x + 3)
= (2x + 3) (x + 2)
8. 2x² + 6x - 8 = 2 (x² + 3x - 4)
- 4 = - 1 × 43 = - 1 + 4= 2 (x² - x + 4x - 4) = 2 [x (x - 1) + 4 (x - 1)]
= 2 (x - 1) (x + 4)
9. 5x² + 10x + 20 = 5 (x² + 2x + 4)
4 = 1 × 44 = 2 × 22 ≠ 1 + 42 ≠ 2 + 2x² + 2x + 4 cannot be factorizedLearn more about Factoring polynomial here: https://brainly.com/question/25308775
#SPJ1
Simplify the expression. Write the answer with positive exponents. Assume all variables represent positive numbers. (x2z)1/4/x-1/2z1/2
We can simplify the expression as follows:
(x2z)1/4/x-1/2z1/2 = (x2z)1/4 * (x1/2z-1/2)
Using the property of exponents: (a^b)^c = a^(bc)
x2z = x^(2 * 1) * z^(1 * 1) = x^2 * z
x1/2z-1/2 = x^(1/2 * 1) * z^(-1/2 * 1) = x^(1/2) * z^(-1/2)
Substituting back into the expression:
(x^2 * z)^(1/4) * (x^(1/2) * z^(-1/2))
= x^ (2 * 1/4) * z^(1 * 1/4) * x^(1/2) * z^(-1/2) = x^(1/2) * z^(1/4) * x^(1/2) * z^(-1/2)
Combining like terms:
x^(1/2) * z^(1/4) * x^(1/2) * z^(-1/2) = x^(1/2 + 1/2) * z^(1/4 - 1/2) = x^1 * z^(-1/4) = x * z^(-1/4)
So, the simplified expression is x * z^(-1/4) with positive exponents.
To learn more about exponents:
https://brainly.com/question/11975096
#SPJ4
Please help PLEASE this is the last question I’m really struggling…
Answer:
x√xy²
Step-by-step explanation:
First step is to distribute.
Change ⁴√x⁵y² to ⁴√x · x · x · x · x · y · y
If there are any, (which there are) sets of the same variable greater then or equal to 4, combine them and move them to the left of the radical (the square root sign). When you are done it should look like this:
x√x · y · y
You will notice there is still an x on the right side. This is because there were 5 x's and you can only move them (in this case) in sets of 4. 5 - 4 = 1
Combine your like terms and you're done!
x√xy²
or
Sebastian uses his phone primarily to take a lot of selfies. The storage space on his phone is limited, so Sebastian needs to keep track of how many selfies he takes.
There is a proportional relationship between the number of selfies Sebastian takes, x, and the amount of storage (in megabytes) he uses taking selfies, y.
The statement suggests that there is a proportional relationship between the number of selfies Sebastian takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. This means that if we were to graph the number of selfies taken, x, on the x-axis and the amount of storage used, y, on the y-axis, the points would fall on a straight line and the slope of the line would be a constant.
In mathematical terms, we can represent this proportional relationship as y = kx, where k is the proportionality constant, or the constant of proportionality. This equation states that the amount of storage used, y, is directly proportional to the number of selfies taken, x.
All right rectangular prism is shown below the volume of the prism is determined by using unit cubes which statement describes how to determine the volume of the prism in cubic units
Step-by-step explanation:
The volume of the right rectangular prism can be determined by finding the product of its length, width, and height in cubic units.
Solve the system of equations.
2x - 8y = 11
x - 4y = 6
There are no real solutions for this system of equations.
Step-by-step explanation:1. Write the expressions.[tex](1)2x - 8y = 11\\ \\(2)x - 4y = 6[/tex]
2. Solve one of the equations for one of the variables.For this solutions, we're going to solve equation (2) for variable "x".
[tex]x - 4y = 6[/tex]
Add "4y" on both sides of the equation.
[tex]x - 4y+4y = 6+4y \\ \\x=6+4y[/tex]
3. Substitute the calculated value of the variable into the other equation.Calculated value: [tex]x=6+4y[/tex]
Equation to substitute in: [tex](1)2x - 8y = 11[/tex]
Substitution:
[tex]2(x) - 8y = 11\\ \\2(6+4y) - 8y = 11[/tex]
Simplify.
[tex]2(6+4y) - 8y = 11\\ \\(2)(6)+(2)(4y)-8y=11\\ \\12+8y-8y=11\\ \\12=11[/tex]
4. Conclude.We obtained a false statement (12=11) which means that there's either no solution, or an infinite amount of solutions.
To see what's the exact case, try to make the coefficients of the equations be the same by multiplying one of the equation by a constant.
In this case, we could multiply all elements of equation (2) by number "2" in order to make the variables have the same coefficients as equation 1:
[tex]2(x - 4y = 6)\\ \\2x-8y=12[/tex]
Comparing the result to the other equation:
[tex]2x - 8y = 11\\ \\2x - 8y = 12[/tex]
5. Final answer.There are no real solutions for this equations system, since the variables have the same coefficients and the contant terms are different (11 and 12).
Important note. If after multiplying the equation by a constant we had obtained the exact same equation, then we would've concluded that there where infinite solutions for the equations system.
-------------------------------------------------------------------------------------------------------
Learn more about equations systems here:
https://brainly.com/question/28290654
https://brainly.com/question/28242258
https://brainly.com/question/28225673
https://brainly.com/question/28281146
https://brainly.com/question/29888440
https://brainly.com/question/30104949
I’m not sure what the answer is
The number of marbles of each color is 2/3.
What is the probability calculation formula?Tessa puts 50 marbles in a bag. The number of marbles of each color is shown in the table below.
The probability that an event will occur is determined by probability: P(A) = f / N. Probability and odds are connected, but probability determines what the odds are. Probability is required before calculating the likelihood of an occurrence.
P(blue)=10 / 3 = 50 /15, meaning there are 15 blue marbles.
P(yellow)= 2 / 1 = 50 / 25 meaning that there are 25 yellow marbles.
10 black marbles are present.
P(black)=50 /10 = 5 and P(white)= 0
15 / 20 = 2/3.
The number of marbles of each color is 2/3.
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ1
y=2x-4 and y=x+1 substitution
The value of x is 5 and the value of y is 6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two equations are y=2x-4 and y=x+1. The two equations can be solved as below,
y=2x-4 and y=x+1, Equate both the equations and solve for the value of x,
2x-4 =x+1
2x - x = 4 + 1
x =5
y=x+1
y = 5 + 1 = 6
Hence, the value of x is 5 and the value of y is 6.
To know more about an expression follow
https://brainly.com/question/15335011
#SPJ1
Please help me with this question.
An example of a derivative in accounting is a stock option.
The formula is Call Option Value = S * N(d1) - X * e^(-rT) * N(d2)
What is an example of derivative in accounting?A derivative in accounting is a financial instrument whose value is derived from the value of one or more underlying assets, such as stocks, bonds, currencies, commodities, or real estate. One common example of a derivative in accounting is a stock option.
A stock option is a contract that gives the holder the right, but not the obligation, to buy or sell a specified number of shares of a stock at a specified price (the strike price) within a specified period of time. The value of a stock option is derived from the value of the underlying stock.
One formula used to calculate the value of a call option is the Black-Scholes model. The formula is as follows:
Call Option Value = S * N(d1) - X * e^(-rT) * N(d2)
Where:
S = the current stock price
X = the strike price
r = the risk-free interest rate
T = the time until expiration (in years)
N(d1) and N(d2) are the cumulative distribution functions of the standard normal distribution
For example, if a stock is currently trading at $50 per share, and the strike price of a call option on that stock is $45, with an expiration date of 1 year and the risk-free interest rate is 2%, the value of the call option can be calculated as follows:
Call Option Value = $50 * N(d1) - $45 * e^(-0.02*1) * N(d2)
N(d1) and N(d2) can be calculated using a financial calculator or software.
Learn more derivative in accounting on:
https://brainly.com/question/29511516
#SPJ1
A juice box measures 4 inches high, 3 inches long, and 2 inches wide. Find the surface area of the juice box.
Answer:
52
Step-by-step explanation:
2*(4*3+2*3+4*2) = 52
Write the fraction or mixed number as a percent 21/25
Answer:
84%
Step-by-step explanation:
21/25*100%
21*4
84%
HOTE
TREAT
A. 17-4y√y
B. y.√√y
C. -3y√17 y
D. y √17y-4y√y
Question 1 of 10
Which choice is equivalent to the expression below when y> 0?
√3+√16³-4y
Tutucul
y√y i.e Option (B) is equivalent to the expression below when y> 0.
What is equivalent ?Equivalent means that two things have the same value, meaning, or measure. For example, 2 + 2 and 4 + 0 are equivalent equations because both equal 4. Another example is 1/2 and 0.5, which are equivalent because they are both equal to one-half.Equivalent in mathematics refers to two expressions that have the same value or the same outcome when evaluated.
Equivalent means having the same value, measure, or effect as something else. For example, two dollars is equivalent to two euros.
Let's start with the expression:
√[tex]y^{3}[/tex]+√[tex]16y^{3}[/tex]-[tex]4y[/tex]√[tex]y[/tex]
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers).
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
√[tex]16y^{3}[/tex] = √[tex]16[/tex] √[tex]y^{3}[/tex] = [tex]4[/tex]√[tex]y^{3}[/tex]
And
[tex]y[/tex]√[tex]y[/tex] = √[tex](y^{2}. y)[/tex]= √[tex]y^{3}[/tex]
If we apply these two to our initial expression, we can rewrite it as:
√[tex]y^{3}[/tex]+√[tex]16y^{3}[/tex]-[tex]4y[/tex]√[tex]y[/tex]
√[tex]y^{3}[/tex] + [tex]4[/tex]√[tex]y^{3}[/tex]-[tex]4[/tex]√[tex]y^{3}[/tex] = √[tex]y^{3}[/tex]=[tex]y[/tex]√[tex]y[/tex]
Therefore, Option (B) is correct.
To learn more about equivalent visit:
brainly.com/question/2972832
#SPJ1
5x +9y = 18+ (x + y)
Answer:
2x=9-4y
Step-by-step explanation:
5x+9y=18+x+y
5x-x=18+y-9y
4x=18-8y
2x=9-4y
PLS HELP WILL GIVE BRAINLIEST
I would help, I cant understand it without answers.
I suggest you watch the video for help before answering it, so you can understand the question more, and try and figure it out.
Sorry I couldn't help I was going to, I did not understand I'm so sorry, hope you get the answer right.
I do prefer to watch the video instead.
Thanks for understanding if you do. If u still want to, if u got the answer right from the video, if u want u can give me brainiest?
Anyways I like to help people. pls Make sure to figure it out on ur own sometimes, You can ask for help, if u do get stuck. I'm just telling you so you don't get in trouble ok.
I would like to help you out in the future if you have questions with the answers this time lol .
Please help, I am trying to get this question answered.
Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.
What are Similar triangles?Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Here,
Triangle HGI and RPQ
GH/RQ = GI /PQ = HI/RP
∠H = ∠R
∠G = ∠Q
∠I = ∠P
Triangle HGI and RPQ are similar triangle
Thus, Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ1
complete the sentence to describe the distance and ruler postulates. between every pair of distinct points, there is a positive unique number called t
Between every brace of distinct points, there's a positive unique number called t which is the distance.
The positive number between every brace of distinct points is known as the distance and it can be set up as the absolute value of the difference between the corresponding real figures.
The distance represents the space between a brace of distinct points. This is called the distance hypothetical.
In order to find the distance, you would need to break for the absolute value of the difference between the real figures that are at the two points.
The Distance Postulate Given any brace of distinct points, there corresponds a unique positive real number called the distance between the two points.
Learn more about The Distance Postulate here :
https://brainly.com/question/29551333
#SPJ4
Use the drawing tools to form the correct answers on the graph.
Complete the
function table for the given domain, and plot the points on the graph.
f (z) = -- + 2c + 5
T
f(c)
The function table for the given domain should be completed as follows;
x 2 3 4 5 6
f(x) 10 5 2 1 2
How to complete the function table for the given domain?In order to use the given quadratic function to complete the table, we would have to substitute each of the values of x (domain or x-values) into the quadratic function and then evaluate as follows;
When the value of domain x = 2, the quadratic function is given by;
f(x) = (x - 5)² + 1
f(2) = (2 - 5)² + 1
f(2) = (-3)² + 1 = 10
When the value of domain x = 2, the quadratic function is given by;
f(x) = (x - 5)² + 1
f(3) = (3 - 5)² + 1
f(3) = (-2)² + 1 = 5
When the value of domain x = 4, the quadratic function is given by;
f(x) = (x - 5)² + 1
f(4) = (4 - 5)² + 1
f(4) = (-1)² + 1 = 2
When the value of domain x = 5, the quadratic function is given by;
f(x) = (x - 5)² + 1
f(5) = (5 - 5)² + 1
f(5) = (0)² + 1 = 1
When the value of domain x = 6, the quadratic function is given by;
f(x) = (x - 5)² + 1
f(6) = (6 - 5)² + 1
f(6) = (1)² + 1 = 2
Read more on quadratic functions here: brainly.com/question/24020644
#SPJ1