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almond37 [142]
3 years ago
9

The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the

numbers.
​
Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

Step-by-step explanation:

"The difference of two numbers is 15."

x-y = 15

x>y

"Five times the smaller number is the same as 9 less than twice the larger number."

5y = 2x-9

y = x-15

substitution

5(x-15) = 2x-9

5x-75 = 2x-9

3x = 66

x = 22

y = x-15 = 7

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
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<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

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