FIND X AND Y
SHOW ALL THE WORK

y=12°

x= 20°

Step-by-step explanation:

5y=60

y=60/5=12

3x+60+60=180

3x=180-120=60

x=60/3=20

Step-by-step explanation:

the angles opposite each other in a parallelogram are equal to each other

60=5y

12=y

now put that into the equation

both bottom left and top right corners have an angle of 60

since all angles in the interior of a parallelogram are equal to 360

then you can set 2(60)+2(3x+60)=360

120+6x+120=360

240+6x=360

6x=120

x=20

Hope that helps :)

9

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240