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morpeh [17]
3 years ago
11

Find two consecutive even integers whose sun is 64

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0

consecutive even integers are 2 apart


they aer x and x+2

their sum is 64

x+x+2=64

2x+2=64

minus 2 both sides

2x=62

divide both sides by 2

x=31

x+2=33

false, we need even integers, 31 and 33 are odd

no solution

igomit [66]3 years ago
5 0
31 and 33.................

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Two angels re supplementary. The larger angle is 48 degrees more than the 10 times the smaller angle. Find the measure of each a
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Supplementary angles are two angles that add up to 180°.

STEP 1:
find the value of x

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Add the two angles above to equal 180.

x + (10x + 48)= 180
combine like terms

11x + 48= 180
subtract 48 from both sides

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12° + 168°= 180°
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ANSWER: The smaller angle is 12° and the larger angle is 168°.

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