Question

What is the value of x?

Diagram attached..

Answer 1

A. 2

B. 7

C. 4

D. 12

Answer 2

arrow marks on lines indicate lines are parallel

Answer 3

if two lines are parallel , then alternate interior angles are equal, right ?

Answer 4

By the property of alternate interior angles,
14x-32 = 9x + 3
Now just equate them and solve the answer.

Answer 5

I'm just confused with combining like terms.

Answer 6

The equation would be 14x-32+9x+3= 180

Answer 7

Bring all terms that have x to one side, and all the non-x terms to other :)

Answer 8

No no, all x terms should be on one side of the =
All non-x terms should be on the other side.

Answer 9

So it'd be 14x-9x= 32+3?

Answer 10

Yes

Answer 11

Where do I go from there?

Answer 12

Subtract the 14-9 = 5x and equate it to 32+3

Answer 13

5x+ 35

Answer 14

Then divide both sides by 5 correct

Answer 15

OH ok

Answer 16

It should be
5x = 35
x = 35/5 = ?

Answer 17

Fall means 14x-9x = 5x (the x's don't mysteriously disappear)

think like this: you have 14 x's and take away 9 x's

Answer 18

Yeah sorry for that typo.

Answer 19

7 :)

Answer 20

That's your answer :)