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Trava [24]
3 years ago
13

When david emptied the collection canister of his vacuum cleaner, he found nickels and quarters among the other of the canister.

When he counted the coins, he found that the number of quarters he counted was three less than number of nickels he counted. He has 21 coins in all.
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

he has 9 quarters and 12 nickles.

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Use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measur
Lina20 [59]
Two angles are said to be supplement when their measure add up to 180 degrees.

Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).

a + s = 180
a = 180 - s ......> equation I

We know that <span>the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II

Substitute by equation II in equation I to get s as follows:
180 - s = 8s
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Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees

Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees</span>
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