The measures of two angles are represented by the expressions (5x + 24)° and (9x − 17)°. If the two angles are equal, what is the value of x?

x=10.25

Step-by-step explanation:

Angle 1 = (5x+24)°

Angle 2 = (9x-17)°

The two angles are equal. It means,

(5x+24)°=(9x-17)°

Taking like terms together,

5x-9x=-17-24

-4x=-41°

Dividing each side by -4

x=10.25°

So, the value of x is 10.25.

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)