1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krek1111 [17]
3 years ago
12

Can anyone tell me what the answer please

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

<u>Subtract 20 from both sides:</u>

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

<u>Subtract 3x from both sides:</u>

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

You might be interested in
What is the distance between (−5,−4) and (-6,4)?
Helga [31]

The distance formula is:  d  =  sqrt( (x2 - x1)2 + (y2 - y1)2 )

 

For this problem, let (-5, -4) be the "first" point, so  x1 = -5  and  y2 = -4

                      and let (-6, 4) be the "second" point, so  x2 = -6  and  y2 = 4.

 

Then:  d  =  sqrt( (-6 - -5)2 + (4 - -4)2 )  =  sqrt( (-1)2 + (8)2 )  =  sqrt( 1 + 64 )  =  sqrt( 65)

 

The distance formula is just the Pythagorean Theorem applied to an x-y graph.

 

You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

6 0
3 years ago
Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is
Elan Coil [88]

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>

6 0
3 years ago
Find the volume of this square<br> based pyramid.<br> 10 cm<br> 8 cm<br> 8 cm<br> V = [?] cm3
oksano4ka [1.4K]

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

3 0
3 years ago
An EASY QUESTION because I’m dumb sometimes 30 POINTS!( 05.05 LC)
vaieri [72.5K]

Answer:

Wonder Woman

Step-by-step explanation:

she has the highest total

3 0
4 years ago
What is 5/7 x 10? in simplest form?
Andrew [12]

Answer:  7.142857 or 7 1/7

Step-by-step explanation:          

3 0
3 years ago
Read 2 more answers
Other questions:
  • Homework I need help
    12·1 answer
  • I do I work out part B?
    5·1 answer
  • Solve each equation. Some of them may have radicals in their solutions.
    10·1 answer
  • What is wrong with this “proof”? “Theorem” For every positive integer n, if x and y are positive integers with max(x, y) = n, th
    14·1 answer
  • Find the missing coefficient.<br><br> -<br> y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0
    7·2 answers
  • (-15x – 3) + (7x - 6) + (-2x +9)​
    14·1 answer
  • 20 points!
    8·1 answer
  • Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options
    12·1 answer
  • Cuáles son los elementos de un polinomio
    7·1 answer
  • How do I solve this radical and then check all the solutions?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!