Can you help me on question 21

A. 2⁵ is the answer.

D. 3³ - 3² too.

Step-by-step explanation:

2⁵ = 32

3³ - 3² = 27 - 9 = 18

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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