Consider that lines u and vare parallel. Which equation models the relationship between the angles? What is the value of x?

Consider That Lines U And Vare Parallel. Which Equation Models The Relationship Between The Angles? What

Answers

Answer 1
Correct option :

[tex]\color{plum}\tt \: \bold{(A) 12x - 4 = 10x + 10 ; x = 7}[/tex]

Steps to derive the correct option :Given :Lines u and v are parallel Measure of an angle = 12x - 4Measure of it's corresponding angle = 10x + 10

Since these angles are corresponding angles and lie on two parallel lines, their value will be equal.

Which means :

[tex] = \tt12x - 4 = 10x + 10[/tex]

[tex] = \tt12x - 4 - 10x = 10[/tex]

[tex] = \tt12x - 10x = 10 + 4[/tex]

[tex] = \tt2x = 14[/tex]

[tex] =\tt x = \frac{14}{2} [/tex]

[tex] =\color{plum}\tt x = 7[/tex]

Thus, the value of x = 7.

Let's place 7 in the place of x and see if their value matches :

12x - 4

[tex] = \tt12 \times 7 - 4[/tex]

[tex] = \tt84 - 4[/tex]

[tex] = \tt80[/tex]

Thus, ∠12x - 4 = 80°

10x + 10

[tex] =\tt 7 \times 10 + 7[/tex]

[tex] = \tt70 + 10[/tex]

[tex] = \tt80[/tex]

Thus, ∠10x + 10 = 80°

Since the value of these two angles are equal, we can conclude that we have found out the correct measure of each angle.

Therefore, the correct option is - (A) 12x - 4 = 10x + 10; x = 7


Related Questions

True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP

Answers

Answer:

This is true look at picture for clarification

Answer:

True

Step-by-step explanation:

To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.

1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:

[tex]13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13[/tex]

The result is a true equation. Thus, (6,13) is on the line.

2) Do the same with the point (21,33):

[tex]33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33[/tex]

The result is a true equation. Thus, (21,33) is on the line.

3) Finally, do the same with (99, 137):

[tex]137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137[/tex]

The result is a true equation. Thus, (99, 137).

All three points are on the line, thus the statement is true.

at a local gym you can either pay $90 for a monthly pass then pay $4 each time you go to the gym or you can pay $13 each time you go with no monthly pass fee for how many visits to the gym in a month is the cost of the two options the same?​

Answers

Answer:

10

Step-by-step explanation:

Select all the expressions that are equivalent to 24x + 12.
2(12x + 6)
–6(–4x – 2)
–3(8x – 4)
12(1 + 2x)
–4(–6 – 3x)

Answers

Answer:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

The expressions that are equivalent to 24x + 12 are:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

Let's go through each expression and simplify them to determine if they are equivalent to 24x + 12.

2(12x + 6):

We can use the distributive property to simplify this expression:

2 * 12x + 2 * 6 = 24x + 12

This expression is equivalent to 24x + 12.

–6(–4x – 2):

Again, using the distributive property, we simplify:

–6 * –4x + –6 * –2 = 24x + 12

This expression is equivalent to 24x + 12.

–3(8x – 4):

Once again, applying the distributive property:

–3 * 8x + –3 * –4 = –24x + 12

This expression is not equivalent to 24x + 12.

12(1 + 2x):

Using the distributive property:

12 * 1 + 12 * 2x = 12 + 24x = 24x + 12

This expression is equivalent to 24x + 12.

–4(–6 – 3x):

Applying the distributive property:

–4 * –6 + –4 * –3x = 24 + 12x = 12x + 24

This expression is not equivalent to 24x + 12.

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Vincent van Gogh is making one-color versions of all his paintings. He uses the colors in the following order and then starts over from the beginning: red blue pink green a purple. what color is painting 31?

Answers

Answer:

The color of painting 31 is RED

Step-by-step explanation:

it should be red :)

Vincent vanThat answer is 37

9x-27 whats the answer

Answers

Answer:

The answer is 9(x-3).

Step-by-step explanation:

Answer:

-243

Step-by-step explanation:

Please help will give Brain!!

Answers

Answer: c

Step-by-step explanation:

Hey need help again guys

Answers

Answer:

the answer is 2x

Step-by-step explanation:

d 2x is the answer because 2x can factor into both numbers

Which explicit equation below matches the given recursive equation? t (n+1) = t (n) -3 t (1) = 8

A. t (n) = 11 - 3n
B. t (n) = -3n + 5
C. t (n) = 3n - 8
D. t (n) = 8 - 3n

PLEASE HELP!!!

Answers

Answer:

B because it would need to be a negative number

Help pls I don’t know

Answers

Answer:

z-7

Step-by-step explanation:

hope this helped!

yao ming is 7 feet 6 inches tall.
how many inches tall is yao ming
A.6
B.76
C.84
D.90

Answers

Answer:

90

Step-by-step explanation:

There are 12 inches in a foot.

So you will take the 7 feet and multiply it by 12

This gives you 84 inches

You then take the 6 inches over the 7 feet and add to the 84 inches

Thus you get 90 inches.

Answer: First off, tall guy. Second, the answer is 90, or D.

Step-by-step explanation:

there are 12 inches in a foot. Take the 12 and multiply it by 7. then add the 6 remaining inches to the 84.

Do you think that every subtraction problem can be rewritten as an addition problem that gives the same result? Write a convincing argument, using examples. (Think about how they are related.)

Answers

Answer:

If you have the answer to the proble then yes

Step-by-step explanation:

for exampe 9+8=17 can be rewritten as 17-9=8

help pls i’ll mark as brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

Help meh- im d u m b

Answers

Answer:

[A] 0

Explanation:

Lines of symmetry; A line that cuts a shape exactly in half

If you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.

If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0

Keelin’s hourly rate went from $9.50 per hour to $10.26 per hour. What is the percent increase?

Answers

Answer:

8%

Step-by-step explanation:

Help !! I need to do this fast !!!!!

Answers

Answer:

3 and 6

Step-by-step explanation:

can i get brainliest please? thanks!

hope this helps!

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge. What is the unit price of a loaf of bread at each store? Store A: Store B: Store C: Store D:

Answers

Answer:

The answer is below

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.

PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?

Store A:

Store B:

Store C:

Store D:

Solution:

The unit price of an item is the price for a single unit of measure of that item. It is measured in price / unit measure.

unit price of a loaf of bread at each store = cost of the loaf of bread / number of loaves

For store A, unit price = $5.94 / 3 loaves = $1.98 per loaf

For store B, unit price = $7.80 / 4 loaves = $1.95 per loaf

For store C, unit price = $10.50 / 5 loaves = $2.10 per loaf

For store D, unit price = $12.12 / 6 loaves = $2.02 per loaf

Answer:

yup the person above me is right but for C its $2.01 :>

Step-by-step explanation:

Hope this helps!!

What is the chance you'll roll this FNC (fair # cube) and it will land on a number less than 5?
A. 4 in 6 chance
B. 3 in 6 chance
C. 1 in 6 chance
D. 5 in 6 chance

Answers

You’re answer is A because there are only 4 numbers below 5 so it’ll be 4/7

Mental math Solve the equation n/10+5=12

Answers

Ok so n=70, I hope it’s right:)

Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by
combining the equations.

Answers

Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7

The ratio of lemons to lime in a punch is 6:4. If there are 35 fruit in the punch, how many of them are lemons?

Answers

Answer:

21 lemons

Step-by-step explanation:

If the ratio is 6:4, the ratio is also equal to 3:2. This means, for every 3 lemons, there are two limes.

So, if there are 35 lemons and limes in total, we would have 21 lemons and 14 limes.

Let me know if this helps!

The result of increasing a number by -4 is 7. What is the number?
What is the answer?

Answers

Answer:

11

Step-by-step explanation:

I'm guessing you meant decreasing and 4 less than 11 is 7

help right now plz lots o points BRAINLIEST

Answers

Answer:

x>-25

Step-by-step explanation:

hope this helps!

Answer:

[tex]x < 25[/tex]

Step-by-step explanation:

[tex]-\frac{3}{10} x -7 +7 < \frac{1}{2} + 7[/tex]

[tex]-\frac{3}{10} x < \frac{15}{2}[/tex]

[tex]-\frac{3}{10} x (\frac{10}{3} ) < \frac{15}{2} (\frac{10}{3} )[/tex]

[tex]x < \frac{150}{6}[/tex]

[tex]x < 25[/tex]

Hope it helps!

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.​

Answers

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

Answer:

2.75

Step-by-step explanation:

Annie has 4 1/2 feet of rope what is the greatest number of 3/4 foot pieces that annie can cut from the rope

Answers

Answer:

6

Step-by-step explanation:

4 1/2 divided by 3/4 is 6. so 6 pieces

The greatest number of 3/4 foot pieces that Annie can cut from the rope

is 6.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Annie has 4 1/2 feet of rope.

Therefore, The greatest number of 3/4 foot pieces Annie can cut can be obtained by dividing the length of the total rope by the length of each piece which is,

= (4 1/2)/(3/4).

= (9/2)×(4/3).

= 36/6.

= 6.

So, 6 pieces are possible.

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find th length of size ab give your answer to 3 significant figures

Answers

Answer: 8.856cm

Step-by-step explanation:

To solve the question, we will use the formula:

Sin 41° = opposite / hypothenuse

0.656 = opposite / hypotenuse

0.656 = AB / 13.5

Cross. Multiply

AB = 13.5 × 0.656

AB = 8.856cm

Which statement is not true in the
equation
y = 0.5x?

Answers

Answer:

Are there set answers? Ill edit my answer after.

Step-by-step explanation:

Which graph represents the function f(x) = 4x

Answers

Answer:

[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]

Step-by-step explanation:

Here we need to plot the graph for the function given to us . The function is ,

[tex]\sf \implies f(x)= 4x [/tex]

In order to plot a graph let us assume that ,

[tex]\sf\implies y = f(x) [/tex]

Hence we now get , that ,

[tex]\sf\implies y = 4x [/tex]

Now let's find out some values of x and y taking which we will plot the graph .

• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .

• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .

• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )

• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)

Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .

For the graph of y = 4x kindly refer to the attachment :) .

Hence the graph of y = 4x will be a straight line passing through the origin.
Answer: X Y
0 0
1 4
Here is the graph

1. A partially completed chart shows the hierarchy of a set of polygons.

Move a term to each blank box to complete the chart.

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the attached file for the complete solution.

Answer:

                                       1 polygon

                                   2 quadrilateral

                                     3 parallelogram

     4 rectangle                                                     5 rhombus

                                           6 square

I WILL GIVE BRAINLIEST TO HOWEVER GETS THIS FIRST :D

Which of the following is equivalent to 2 · (4 · 3)?

A. 2 + (4 + 3)
B. 2 x (6 x 4)
C. (2 x 4) x 3
D. 8

Answers

C It’s cccccccccccccccccccc

Answer:

C. (2 x 4) x 3

Step-by-step explanation:

Solve 2 x (4 x 3) = 24

Solve the other values to find one equivalent.

A. 2 + (4 + 3)  = 9

B. 2 x (6 x 4)  = 48

C. (2 x 4) x 3  = 24

D. 8 = 8

This leaves C as the only equivalent option.

Write an inequality to match the graph below.

Answers

lets use x as the variable in this situation

x > -2 or x is greater than negative two.

hope this helps

I need points so yeah
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