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lidiya [134]
2 years ago
5

Complete the proof that △TUV~△TSU. T U V S

Mathematics
1 answer:
Sidana [21]2 years ago
5 0

Answer:

∠TSV = 180°(it's the straight line)
∠TSU + ∠USV = ∠TSV = 180°
∠TSU + 90° = 180°
∠TSU = 90°
90° = 90°, so ∠TSU ≅ ∠TUV

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So these are our two equations: 2x+y=12\\x=y-3

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Now that we have the value of x, substitute it into either equation to solve for y:

2*3+y=12\\6+y=12\\y=6\\\\3=y-3\\6=y

<u>In short, x = 3 and y = 6.</u>

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