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kykrilka [37]
4 years ago
15

Can someone plzzzzzz help? I'll give points and mark as brainliest!

Mathematics
1 answer:
SVEN [57.7K]4 years ago
5 0

Answer:

<em>x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )</em>

Step-by-step explanation:

If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;

By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒

m∠ ZYW = m∠ YWX,

m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x

By ∑ of angles in triangle Theorem;

m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,

( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,

3x - 5 + 90 + 2x = 180 ⇒ combine like terms,

3x + 2x - 5 + 90 = 180 ⇒ add,

5x + 85 = 180 ⇒ subtract 85 from either side of equation,

5x = 95, divide 5 on either side,

x = 19°

<em>Solution; x = 19°</em>

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Answer:

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Step-by-step explanation:

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\int S'(t) = -30\int t^{\frac{2}{3}} dt

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S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C

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S(t) =-18t^\frac{5}{3}+C

According to the question,

S(0) = 2,440,

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Hence, the required function,

S(t) = -18t^\frac{5}{3}+2440

If S(t) = 1,000,

-18t^\frac{5}{3}+2440=1000

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