What is the value of x?

x = 21

Step-by-step explanation:

The angles are supplementary

therefor

(3x + 2) + (5x + 10) = 180

Combine like terms

8x + 12 = 180

subtract 12 from both sides

8x = 168

Divide both sides by 8

x = 21

x = 21

Step-by-step explanation:

The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.

The 2 adjacent angles then lie on a straight line and sum to 180° , then

5x + 10 + 3x + 2 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!