3 years ago

∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

90°

Step-by-step explanation:

ABC ~ DEF so that means E = B. A triangle has to add up to 180° so that means 180-35-55=90

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Step-by-step explanation:

24 + 5x = -x + 6(5a - 4)

Start by multiplying 6 by the values in the parenthesis

24 + 5x = -x + 30a - 24

Add 24 to both sides of the equation

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Add 1x to both sides of the equation

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Subtract 48 from both sides of the equation

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Divide both sides of the equation by 6

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Add 8 to both sides of the equation

x + 8 = 5a

Divide both sides of the equation by 5

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-----------------------------------------

When solving for x, answer = $\large\boxed{x = 5a - 8}$

When solving for a, answer = $\large\boxed{a = 1/5x + 8/5}$

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