Triangle similarity problem

ST = 16

Step-by-step explanation:

The similar triangles are given as triangle PQR similar to triangle STU.

That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.

Multiply both sides by 9.

Cross multiply.

Distribute on both sides.

35x + 7 = 44x - 20

Subtract 44x from both sides.

-9x + 7 = -20

Subtract 7 from both sides.

-9x = -27

Divide both sides by -9.

x = 3

ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16

ST = 16

the answer is 0.071

good luck! : d

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral