Equation with angle addition help me please answer

As described in picture:

RPS = 5x + 34

QPR = 8x + 15

RPS +QPR = QPS = 88

=>5x + 34 + 8x + 15 = 88

=> 13x + 49 = 88

=> 13x = 39

=> x = 3

=> RPS = 5 x 3 + 34 = 15 + 34 = 49 deg

Hope this helps!

:)

the answer is n

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2