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Valentin [98]
3 years ago
15

Find the measure of the angle indicated.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

126°; 100°.

Step-by-step explanation:

12)

m∠(RPQ)=180-50-5x-16;

m∠(YPQ)=180-m∠(RPQ)=180-180+50+5x+16=5x+66;

if m∠(YPQ)=11x-6, then 11x-6=5x+66; ⇒x=12 and

m∠(YPQ)=11x-6=11*12-6=126°;

13)

m∠RQS=180-30-10x=150-10x;

m∠RQW=180-m∠RQS=180-150+10x=30+10x;

if m∠RQW=14x-10, then 30+10x=14x-10; ⇒x=10 and

m∠S=100°

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Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
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Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

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\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

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