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MAFS.912.G-C0.3.10
If TW = VW = 23, TU = y + 24 and UV = 9y, what is the value of y?
w
(please answer and give me the work) i have until 8 AM

MAFS912GC0310 If TW VW 23 TU y 24 and UV 9y what is the value of y w please answer and give me the work i have until 8 AM class=

Respuesta :

akposevictor

Answer:

y = 3

Step-by-step explanation:

Given that,

TW = VW = 23,

TU = y + 24,

UV = 9y

∆TWU and ∆VWU are congruent by SAS Congruence Theorem.

Therefore:

TU = UV

y + 24 = 9y (substitution)

Subtract y from each side

24 = 9y - y

24 = 8y

Divide both sides by 8

24/8 = 8y/8

3 = y

y = 3

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