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mina [271]
3 years ago
13

PLS, I'm begging for help, il give the brainiest to who gives me the right answer! THIS IS 30 POINTS

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

<em>Similarity doesn't changes angle measures</em>

  • ∠U = 56°, ∠U' = 3x - 16
  • ∠U = ∠U'

a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°

b) ∠T = x + 46 = 24 + 46 = 70°

c) <u>Scale factor:</u>

  • k = S'T'/ST = 19/57 = 1/3

<u>Find y using known sides and scale factor:</u>

  • U'V'/UV = 1/3
  • (y + 4)/63 = 1/3
  • y + 4 = 21
  • y = 21 - 4
  • y = 17

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