Help? If you can.

Questions 5-9 ONLY

My answer got deleted for some reason so lemme try again:

5. A

6. B

7. 115

8. 97

9. 123

Step-by-step explanation:

5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc

6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles

7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8

8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6

9. m<1 and m<6 add up to 180 degrees.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .