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Katena32 [7]
3 years ago
8

Complete the statements to find the measurements of angle a and angle b ​

Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0
The measurement of angle a plus 120 must equal to 180 ( as angles on a straight line must equal to 180)
So measurement of angle a is 60 degrees
Measurement of angle b plus 60 plus 60 must equal to 180
So measurement of angle b is 60
White raven [17]3 years ago
4 0

Answer:

m∠a + 120° = 180°

m∠a = 60°

m∠b + 60° + 60° = 180

m∠b = 60°

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<em>25 cm</em>

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Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
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  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

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Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

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There are 13 quarters.

Also, d=4(5)=20

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Therefore, there are 13 quarters, 5 nickels and 20 dimes.

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