Triangle tuv is similar to triangle xyz. which of the following statements is true?

Option B. The slope of VT is equal to the slope of ZX

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

step 1

Find the slope VT

we have

V(-7,-3),T(-4,0)

substitute in the formula

step 2

Find the slope ZX

we have

Z(0,4),X(6,10)

substitute in the formula

therefore

The slope of VT is equal to the slope of ZX

wedfghjkl;

tyuiop[]ghjkl;

step-by-step explanatio89

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4