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KIM [24]
3 years ago
10

Find the missing angles

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

<b= 36 degrees, <c= 144 degrees

Step-by-step explanation:

144 and b are supplementary meaning they add up to 180.

144 and c are vertical angles meaning they are congruent.

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In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?
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Answer:

  0.69

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

  Sin = Opposite/Hypotenuse

For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

  sin(P) = OQ/PO = 20/29

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Answer:

Step-by-step explanation:

1) Number of nickels = x

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Substitute s = 7 - y in equation (III)

0.05*(7 - y)  + 0.25y = 0.55

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2) Number of children tickets = x

Number of adult tickets = y

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Substitute x = 40 - y in equation (III)

2*(40-y) + 5y = 170

2*40 - 2*y + 5y = 170

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80 + 3y = 170                {Subtract 80 from both sides}

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       3y = 90       {Divide both sides by 3}

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Substitute y = 30 in equation (II)

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The length would be 50 ft and the width would be 40 ft.

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