Due today thank you!

1st Picture: m∠RPS= 15° m∠QPR=25°

2nd Picture: x= 53°

Step-by-step explanation:

1st Picture:

8x+7+9x+16=40

17x+23=40

17x=40-23

17x=17

x=1

Substitute the x values with 1 and solve.

it's

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)