Triangle VUW is similar to triangle SUT. (VUW~SUT)
Find the length of UV.

UV=66

Step-by-step explanation:

We can use ratios to solve this problem

UV              VW

=

SU                  ST

Substituting what we know

UV                88

=

18                  24

Using cross products

(UV)*24 = 18*88

Divide each side by 24

(UV)*24/24 = 18*88/24

UV =66

This is the length of UV

answer: about 22.67

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)