Geometry problem in the picture, The polygons shown are similar find the values of X and Y

x = 14

y = 40

Step-by-step explanation:

if the polygons are similar then we can use the proportional values to find x and y:

20/45 = (2x-8)/(5x-25) cross multiply expressions

100x - 500 = 90x - 360 export like terms to the same side of the equation

100x - 90x = 500 - 360

10x = 140 divide both sides by 10

x = 14

since the polygons are similar 3y + 8 = 128 subtract 8 from both sides

3y = 120 divide both sides by 3

y = 40

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet