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ss7ja [257]
3 years ago
5

What are two numbers that multiply to get -224 and add to get -52

Mathematics
1 answer:
Goshia [24]3 years ago
5 0
A x b = -224
a + b = -52
factors of 224
4 and 56
a = 4
b = -56
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Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
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<h3>Answer:  35 (choice C)</h3>

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Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

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As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

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