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solmaris [256]
2 years ago
12

If m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17X-16)°, find each measure

Mathematics
1 answer:
cricket20 [7]2 years ago
6 0

Answer: m∠ TUW =  38°

m∠WUV =  12°

m∠TUV =  103°

Step-by-step explanation:

Given: m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17x-16)°

Since, m∠TUV = m∠ TUW  +  m∠WUV

So, 17X-16 = (5x + 3) + (10x-5)

⇒ 17X-16 = 5x + 3 + 10x-5   [open parenthesis]

⇒  17X-16 =5x +  10x +3 -5   [combine like trems]

⇒  17X-16 =15x -2

⇒   17X -15x = -2+16     [subtract 15x and add 16 on both sides]

⇒   2x = 14        

⇒  x= 7               [divide both sides by 2]

Now, m∠ TUW = (5(7) + 3)°=  38°

m∠WUV=(10(7)-5)° =  12°

m∠TUV=(17(7)-16)° =  103°

Hence,  m∠ TUW =  38°

m∠WUV =  12°

m∠TUV =  103°

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Answer:

The volume of the pyramid is 1,260\ cm^{3}

Step-by-step explanation:

we know that

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step 1

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substitute

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step 2

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5 0
2 years ago
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<h2><u><em>Answer: </em></u></h2><h2><u><em> </em></u></h2>

ASA  and AAS

<h2><u><em>Step-by-step explanation: </em></u></h2>

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

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2 years ago
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The complete question in the attached figure

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