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alexandr402 [8]
3 years ago
8

In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint

Mathematics
2 answers:
cricket20 [7]3 years ago
7 0

Answer:

TV = 34

Step-by-step explanation:

WX = 23 – 2x,

TV = 64 – 10x,

First, create an equation you will use to find the value of x.

Thus:

WX = \frac{1}{2}(TV) (midsegment theorem of a ∆)

23 - 2x = \frac{1}{2}(64 - 10x) (substitution)

23 - 2x = \frac{1}{2}(64 - 10x)

Multiply both sides by 2

(23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2

46 - 4x = 64 - 10x

Collect like terms

46 - 64= 4x - 10x

-18= -6x

Divide both sides by -6

3 = x

x = 3

Find TV:

TV = 64 - 10x

Plug in the value of x

TV = 64 - 10(3) = 64 - 30

TV = 34

Amiraneli [1.4K]3 years ago
6 0

Answer:

the answer is 18

Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18

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