Answers
1. Slope of the line is: c. -3/2.
2. (4, 0) lies on the line.
3. The angle relationship is congruent angles.
4. x = 19
5. m<A = 39
6. The angle relationship is corresponding angles.
7. a. congruent angles.
8. x = 12
9. m<A = 72°
10. m<B = 43°
What is the Slope of a Line?The slope of a line = change in y/change in x
What are Angle Relationships?Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.
1. Slope of the line that passes through (-7, 3) and (-5, 0):
Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2
Slope (m) is: c. -3/2.
2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:
(4, 0)
3. The angle relationship is congruent angles.
4. 39 = 2x + 1
39 - 1 = 2x
38 = 2x
38/2 = x
x = 19
5. m<A = 2x + 1 = 2(19) + 1
m<A = 39
6. The angle relationship is corresponding angles.
7. They are: a. congruent angles.
8. 38 = 3x + 2
38 - 2 = 3x
36 = 3x
36/3 = x
x = 12
9. m<A = 180 - 108 [supplementary angles]
m<A = 72°
10. m<B = 180 - 65 - 72
m<B = 43°
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Related Questions
HELP PLEASE
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Answers
Answer:
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Step-by-step explanation:
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Match the expressions on the left which represent distance two points, with their corresponding points on the right.
Answers
Answer:
[(3, 1), (5, 6)]
[(4, -2), (0, -8)]
[(5, 4), (2, 0)]
[(-1, -3), (-1, -7)]
Explanation:
The distance between two points (x1, y1) and (x2, y2) can be calculated as:
[tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}[/tex]So, if we have the expression:
[tex]\sqrt[]{(5-3)^2+(6-1)^2}[/tex]The coordinates of (x1, y1) are (3, 1) and the coordinates of (x2, y2) are (5, 6)
In the same way, for the other expression we get:
[tex]\begin{gathered} \sqrt[]{(0-4)^2+(-8+2)^2}=\sqrt[]{(0-4)^2+(-8-(-2))^2} \\ \to(x_{1,}y_1)=(4,-2) \\ \to(x_{2,}y_2)=(0,-8) \end{gathered}[/tex][tex]\begin{gathered} \sqrt[]{(2-5)^2+(0-4)^2} \\ \to(x_{1,}y_1)=(5,4) \\ \to(x_2,y_2)=(2,0) \end{gathered}[/tex][tex]\begin{gathered} \sqrt[]{(-1+1)^2+(-7_{}+3)^2}=\sqrt[]{(-1-(-1))^2+(-7_{}-(-3))^2} \\ \to(x_1,y_1)=(-1,-3) \\ \to(x_2,y_2)=(-1,-7) \end{gathered}[/tex]So, the answer in order are:
[(3, 1), (5, 6)]
[(4, -2), (0, -8)]
[(5, 4), (2, 0)]
[(-1, -3), (-1, -7)]
What is the value of the expression −51 − 17 − (−37)?
−68
−105
−31
−71
please get it right, I'll give you brainliest!
Answers
Answer:
c) -31
Step-by-step explanation:
Given expression,
→ -51 - 17 -(-37)
Let's solve the expression,
→ -51 - 17 -(-37)
→ -51 - 17 + 37
→ -51 + 20 = -31
Hence, the answer is -31.
Using the solution from the previous question, solve the following problem. Suppose that the amount of money originally invested in an account was $5,000, and that the money in the account after 3 years is $6,050. What was the annual simple interest rate for the account?
Answers
Let's use the simple interest formula:
[tex]FV=PV\cdot r\cdot t[/tex]Where:
FV = Future value = $6050
PV = Present value = $5000
r = interest rate
t = time = 3
Replacing the data into the equation:
[tex]\begin{gathered} 6050=5000\cdot r\cdot3 \\ 6050=15000r \\ \text{Solving for r:} \\ \frac{6050}{15000}=r \\ \\ r\approx0.4033\approx40.33 \end{gathered}[/tex]r = 40.33%
find the designated angels in each diagram
Answers
The values of all 3 angles are:
x = 95°y = 65°z = 115°What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. Based on the measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, we know that ∠AOB is s straight angle (180°).
Then,
x - 30 + x + 20 = 1802x - 10 = 1802x = 180+ 102x = 190x = 95°Now, solve for straight angle ∠DOC with x = 95°:
z + x - 30 = 180z + 95 - 30 = 180z + 65 = 180z = 180 - 65z = 115°Similarly, solve for straight angle ∠AOB with z = 115°:
z + y = 180115 + y = 180y = 180 - 115y = 65°Therefore, the values of all 3 angles are:
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Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 35m = 300 45.25m 250.5 â€" 35m = 300 â€" 45.25m 250.5m â€" 35 = 300m â€" 45.25 250.5m 35 = 300m 45.25
Answers
The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.
Let m be the number of months.
It is given that:
The international Business club starts with $ 250.50 in their account.
and each month they spent $ 35 on activities.
This means that after m months the total amount left in the bank account is:
250.20-35 m
The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.
This means that the amount left in the account after m months is:
300-45.25m
Now, the equation that represents same amount of money in both the accounts is:
250.50-35m=300-42.25m
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Write an equation of the line giventge slope and one point.
slope 5,point (2/5 ,12)
Answers
Answer:
Step-by-step explanation:
A straight line will have the form y=mx+b, where m is the slope of b the y-intercept (the value of y when x = 0).
Slope is given as 5, That means:
y = 5x+b
We need a value of b that forces the line to gto through (2/5,12), Enter the point in the above equation and solve for b:
y = mx + b
12 = 5 (2/5) + b
12 = 2 + b
b = 10
y = 5x + 10
See attached graph.
Need help asap, Worth 25 points
Answers
Answer: combine like terms
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
On October 15, WTI agreed to teach a four-month class (beginning immediately) for an executive with payment due at the end of the class. At December 31, $7,500 of the tuition revenue has been earned by WTI
Answers
The recording of the transaction in WTI's general journal at December 31, is as follows:
General JournalDate Account Titles Debit Credit
Dec. 31 Accounts receivable $7,500
Tuition fees earned $7,500
To record the tuition revenue earned.
What is the general journal?The general journal is the first accounting record for business transactions.
The transactions are recorded chronologically, that is according to the date they occur.
The general journal identifies the two or more accounts involved in any business transaction, and pinpoints the accounts to be debited and the ones to be credited, in accordance with the double-entry system of accounting.
Transaction Analysis:Dec. 31 Accounts receivable $7,500 Tuition fees earned $7,500
Thus, the earned revenue has been recorded in the general journal.
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Question Completion:Record the transaction in the general journal.
3n³ - 12n²-30n what Is the answer
Answers
Step-by-step explanation:
Factor 3n³−12n²−30n
3n³−12n²−30n
=3n(n²−4n−10)
f(x) = x - 5; g(x) = f(x − 3)
Answers
Answer:
g(x) = x - 8
Step-by-step explanation:
f(x) = x - 5
g(x) = f(x-3) = f(x-5) - 3 = x -8
F = 5
All of it together is -8
THIS IS URGENT ILL BRAINLIST WHOEVER ANSWER IT!!!!!!
Calculate the x and y intercept for each of these linear rules.
1) -x -y = 5
Find the rule for the line that passes through each of these pairs of points. Use : y - y1 = m(x - x1).
1) (4, -8) and (0,4)
2) (3,1) and (-3, -1)
Answers
Part 1: x and y intercept are (-5, 0) and (0, -5).
Part 2: Rule for the line is to find the slope.
What is defined as the x and y intercept?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis where a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope as well as c is the y-intercept.For the given question;
Part 1: x and y intercept.
The equation of the line is -x -y = 5.
For x intercept, put y = 0.
-x -0 = 5.
x = -5
x intercept - (-5, 0)
For y intercept, put x = 0.
-0 -y = 5.
y = -5
y intercept - (0, -5)
Part 2: Rule for the line,
The equation of the line is given as;
y - y1 = m(x - x1)
Intercept point are given as
(4, -8) and (0,4)(3,1) and (-3, -1)For finding the equation of the line, find the slope using the given points and put in the equation.
The formula of slope is;
slope = m = (y2 - y1)/(x2 - x1)
Thus, slope should be know to form the equation of the line.
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1/3+4.1 Write your answer as a mixed number in simplest form.
Answers
4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction. Arithmetic. a number, such as 412 or 4.5, that combines a whole number with a fraction or decimal. Rational numbers encompass all mixed numbers. 315 may be written as 165, making it a logical number. All decimals that either end or start to repeat after a certain point are considered rational numbers. Because 0.2 may be represented as 15, it is a rational number.
Given Data
[tex]\frac{1}{3}[/tex] + 4.1
[tex]\frac{1}{3}[/tex] + [tex]\frac{41}{10}[/tex]
Taking LCM,
[tex]\frac{10+123}{30}[/tex]
[tex]\frac{133}{30}[/tex]
4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.
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Are lines q and n perpendicular? Explain your reasoning.
Answers
Yes, are lines q and n perpendicular. Because Perpendicular lines are those that intersect at a right angle (90 degrees).
What is meant by perpendicular?Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol, can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes. Perpendicular lines are two distinct lines that intersect at 90°, or a right angle. When two lines intersect at a right angle, or 90 degrees, perpendicular lines are formed. Perpendicularity refers to this property of lines. Perpendicular lines are defined as lines that intersect at a right angle. As an example, consider the steps of a straight ladder or the opposite sides of a rectangle. The symbol used to represent two perpendicular lines: ⊥ ⊥To learn more about perpendicular, refer to:
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Find the equation of the line that is perpendicular to the line y=x-9
and passes through the point (-7,1)
. Write the equation in point-slope form.
Answers
The equation of a line perpendicular to y = x - 9 and passes through (-7, 1) is y = - x - 6
How to find the equation of a line?The equation of a line can be represented in a point slope form as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, the line is perpendicular to y = x - 9 and passes through (-7, 1).
Perpendicular lines follows the rule:
m₁ m₂ = -1
1m₂ = -1
m₂ = -1
Hence, let's find the y-intercept of the equation of the lines using (-7, 1)
y = - x + b
1 = - (-7) + b
1 = 7 + b
1 - 7 = b
b = -6
Therefore, the equation of the line is y = - x - 6
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Write the slope-intercept form of the equation of the line described.
through (2,-4) and is perpendicular to y = 2x +1
Answers
The slope-intercept form of the described line's equation. through (2,-4) and is perpendicular to y = 2x +1. y = 2x + 0 is the slope intercept form.
What is slope-intercept form?When you know the slope of the line to be examined and the point given is also the y intercept, We can use the slope intercept formula,y = mx + b. (0, b).
The y value of the y intercept point is represented by b in the formula.Here given a point (2 , -4)
and given an equation, y = 2x + 1
we know that slope intercept form = y = mx + b
to get value of b ,
substitute x and y in perpendicular equation ,
so we get ,
- 4 = 2 x 2 + b
- 4 = 4 + b
- 4 - 4 = b
b = 0;
So the slope intercept form = y = 2x + 0
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Where should you plot the ordered pair (3,4) in relation to the origin?
CLEAR CHECK
4 spaces to the right and 3 spaces up
3 spaces to the right and 4 spaces up
3 spaces to the right, 4 times
3 spaces up and 4 spaces to the right
Answers
The ordered pair (3,4) in relation to origin is plotted as:
3 spaces to the right and 4 spaces up
When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).
In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).
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Solve for x if 2(5x + 2)² = 48.
Ox= -2+2√24 and x = -2-2√24
5
5
O x = −2+2√24 and x = -2-2√24
2
2
Ox= -2+2√6 and x = -2-2√6
5
5
Ox= -2+2√5 and x = -2-2√6
2
2
Answers
The value after simplification for the variable 'x' is: x = (2√6 -2)/5
What is simplification?
In mathematics, the term simplification is used to solve complicated equation. Basically, it convert the complicated terms into easy expression to make the calculation simple. The method is applicable in almost the equation based problems.
According to the question, the given expression for the simplification is as follows:
Required expression: 2(5x + 2)² = 48
(5x + 2)² = 24 ⇒ (5x + 2) = √24 = 2√6
⇒ (5x) = 2√6 - 2
⇒ x = (2√6 -2)/5
Hence, the value for the variable 'x' is: x = (2√6 -2)/5
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The sum of two numbers is 450. The larger number is 50 more than three times the smaller
number. What are the two numbers?
Answers
Answer: 100 and 350
Step-by-step explanation:
Let x be the smaller one.
Based on the second statement, [tex]3x + 50[/tex] is the larger one.
[tex]x + 3x + 50 = 4x + 50 = 450; x = 100[/tex]
Based on that, the larger one is 450 - 100 = 350
Please help me on these two questions!! ( will mark brainliest )
2. ∠L and ∠Z are vertical angles with m∠L = 2x + 9 and m∠Z = 3x − 14.
m∠L= ____ degrees
3. ∠Y and ∠J are vertical angles with m∠Y = 7x + 12 and m∠J = 10x − 9.
m∠J = ____ degrees
Answers
The value of m∠L is 55 degrees and the value of m∠J is 61 degrees.
As we know, vertical angles are the opposite angles made by the intersection of the two lines, vertical angles are equal in magnitude,
So, we can write,
1. ∠L and ∠Z are vertical angles,
∠L = 2x + 9 and,
∠Z = 3x - 14.
Because both are vertical angles, so,
∠L = ∠Z
2x + 9 = 3x - 14
Solving further,
3x - 2x = 9 + 14
x = 23
So, the value of ∠L is,
= 2(23)+9
= 46+9
= 55°
The value of angle ∠L is 55°,
2. As, ∠Y and ∠J are vertical angles, so they are equal,
∠Y = 7x + 12
∠J = 10x - 9
∠Y = ∠J
7x + 12 = 10x - 9
Solving further,
3x = 21
x = 7
So, the value of ∠J is,
= 10(7) - 9
= 70 - 9
= 61°
The value of ∠J is 61°.
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if there is a rectangle and the smaller side is 3 and the area is 27 what is the other side length
Answers
Answer:
Area of rectangle is given as length x breadth/width, where the length is the longer side and the breadth/width is the shorter side.
Let length be l.
l x 3 = 27
l = 27 ÷ 3
= 9
Remy has a lending business. last month, she lent a total amount of 1,248,500. this month, she was able to collect only 878,230. how much collectible is left
Answers
The most appropriate choice for subtraction will be given by -
Remy will still get 370270
What is subtraction?
At first it is important to know about integers.
Integers are numbers which have no fractional part.
Integers can be positive, negative and zero is also an integer.
Now, to find the difference between two integers, subtraction is used.
The larger number is called minuend and the smaller number is called subtrehend.
Here,
Amount of money Remy lent = 1248500
Amount of money Remy could able to collect = 878230
Amount of money Remy will get = 1248500 - 878230
= 370270
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"If you build it,they will come"-Kevin Costner from the film, Field of Dreams
1.Write the converse of this statement
2.Write the inverse of this statement
3.Write the contrapositive of this statement
Answers
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
What is the conditional statement?The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).
The given conditional statement is "If you build it, they will come"
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
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A manager wants to buy headsets for the customer service team members to use. the headsets cost $12 each. the budget allows $155 to be used for customer service equipment, but the manager wants to save more than $20 for later in case it is needed for something else. how many headsets can the manager buy?
Answers
Using inequality we can calculate that within the budget the manager can buy 11 headsets.
Any monotonically rising function, as long as both expression portions fall inside the scope of that specific function, can be applied to both sides of an inequality without destroying the relationship between the two.
If a monotonically falling function were applied to both ends of an inequality, the inequality relationship would be inverted.
The equations for the additive reverse and the multiplicative reverse for positive numbers are two examples of employing a monotonically decaying function.
Let the manager can buy x headsets.
Cost of x headsets = 12x
Money saved = 20
Budget = 155
Therefore we write the represented inequality as :
12x + 20 < 155
or, 12 x < 135
or, x < 11.25
Now the number of headsets can not be a decimal number, therefore 11 headsets need to be bought.
Therefore the manager can buy 11 headsets.
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In 2017, one U.S. dollar was worth 19.61 Mexican pesos. How many dollars was 150.68 pesos worth?
Answers
By using unitary method, we get that 150.68 pesos are worth $ 7.6 .
What is unitary method?An individual or singular unit is referred to as unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
We know 1 U.S. dollar = 19.61 Mexican pesos
Thus by unitary method, we get ;
1 Mexican pesos = 1 / 19.61 dollars
this implies 1 Mexican pesos = 0.5099
To find : 150.68 pesos worth
Therefore , 150.68 pesos worth = 150.68 × 0.5099
= 7.683 dollars
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Energy is measured in kilowatt-hours. The table and scatter plot below, show the cost of building a facility to produce energy and the ongoing cost of operating the facility for five different types of energy.Do you think that there is a statistical relationship between building cost and operating cost? if so, describe the nature of the relationship.
Answers
Yes, because it looks like there is a downward pattern in the scatter plot. It appears that the types of energy that have facilities that are more expensive to build are less expensive to operate.
30+3x=6x
Can someone help me with this pls
Answers
Answer: X=10
Step-by-step explanation:
turn -8 7/11 into a decimal
Answers
Answer:
-8.6363 the proper answer (estimated) is -8.66
Answer:
-7.37 is the answer for this.
Daniyar paid his April FlashCard bill in full. His May bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%. What is the finance charge on Daniyar's May statement?
Answers
The finance charge would be the amount of $4.46 on Daniyar's May statement.
What is the finance charge?The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%.
The finance charge = $270.31 × 1.65%
The finance charge = $270.31 × 0.0165
Apply the multiplication operation to get,
The finance charge = $4.460115
Round the nearest to the hundredth,
The finance charge = $4.46
Hence, the finance charge would be the amount of $4.46 on Daniyar's May statement.
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A rectangle has a length of 14 units and a width of 6 units. Squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume of the box as a polynomial function in terms of x.
Answers
Answer:
f(x) = 4x³ - 40x² + 84x=================================
The box is the right rectangular prism.
Its volume is the product of its three dimensions:
V = lwhWe need to find each dimension and multiply them to get the desired function.
GivenLength = 14 units,Width = 6 units,Cut = x units.SolutionThe height is same as size of the cut, so it is x units.
h = xThe length was 14 units but it is now cut from bot ends so it is now:
l = 14 - 2xThe width was 6 units but it is too cut from the both ends by x units:
w = 6 - 2xWe have all three dimensions, find the volume:
f(x) = x(6 - 2x)(14 - 2x) or, when distributedf(x) = x(6*14 - 6*2x - 2x*14 + 2x*2x) = x(4x² - 40x + 84) = 4x³ - 40x² + 84xV = (14 - 2x) (6 - 2x) x cubic units.
The polynomial function formed by given dats is V=(14 - 2x) (6 - 2x) x
What is polynomial function?A polynomial function is one that involves only non-negative integer powers or only positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, or exponential equation.
Here given,
A rectangle has 14 units of length and 6 units of width.
From each corner of the rectangle, four squares with dimensions of x by x units are cut out.
The box's length is equal to (14 - 2x) units.
The box's width is =(6 - 2x) units.
The box's height is = x unit.
The volume of the box is equal to the sum of its length, width, and height.
Cubic units =(14 - 2x) (6 - 2x) x
∴V=(14 - 2x) (6 - 2x) x
where V is the box's volume in cubic units
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