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maria [59]
3 years ago
13

If mTUW = (5x + 3), mWUV = (10x - 5), and mTUV = (17x - 16), find each measure.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

Answer:

m∠TUW  = 38°

m∠WUV  =  12°

m∠TUV  =  103°

Hope it helped :)

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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
What is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

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Rewriting

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Changing back to a mixed number

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7 0
3 years ago
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Answer: 9 (2x + 1)

Step-by-step explanation: i hope i helped

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You would multiply 16*3 to get an estimate. 
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I'm assuming you mean a 16:1 scale.
16:1= 16/1 which =16 
Hope this helps!

4 0
2 years ago
Read 2 more answers
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