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1. after examining the figure below, daniel determines that = .

which theorem or corollary allowed him to draw that conclusion?

[see attachment]

a. side-splitting theorem

b. proportional altitudes theorem

c. two-transversal proportionlity corolllary.

d. proportional medians theorem

2. by the proportional altitudes theorem, which proportion is true?

[see second attachment]

a.

b. =

c. =

d. =

3. given that δ nml is similar to δ srq, what is x?

[see third attachment]

a. x = 18

b. x = 14.2

c. x = 24

d. x = 40.5

4. given that δ def is similar to δ wxy, what is x?

[see fourth attachment]

a. x = 6

b. x = 8.5

c. x = -0.93

d. x = -2.5

5. at a certain time of day, a child whose height is 40 inches casts a shadow that is 26 inches long. the child's father casts a shadow that is 44.2 inches long. the father's height in inches is represented by x.

what is x?

[see last attachment]

a. x = 68 < my answer

b. x = 23.5

c. x = 28.7

d. x = 63.5