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lorasvet [3.4K]
4 years ago
14

PLEEEAAASSSEEE HEEEELLLPPP!!!

Mathematics
1 answer:
scoundrel [369]4 years ago
8 0

The angle in the dilated figure is the same as the original angle in each case, a fact that should be confirmed by the way the answer choices are shown.

∠A = ∠A'

... 4x -4 = 51 -x

... 5x = 55

... x = 11

∠A = 4·11 -4 = 40 . . . . . . doesn't match any offered choice

___

∠B = ∠B'

... 6x -1 = 4x +21

... 2x = 22

... x = 11

... ∠B = 6·11 -1

... ∠B = ∠B' = 65 . . . . . matches selection D)

_____

∠C = ∠C'

... 8x -13 = 6x +9

... 2x = 22

... x = 11

... ∠C = 6·11 +9 = 75

... ∠C = ∠C' = 75 . . . . . matches selection D)

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