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nataly862011 [7]
2 years ago
7

What triangles are similar to triangle AED? Explain or show your reasoning.

Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

Answer:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Step-by-step explanation:

Triangle AED:

D=53(alternate interior angle)

A=180-90-53=37 (angle of triangle)

AA similarity criterion

DCE is similar to AED

angle BEA=180-90-53=37=angle A of AED

Thus: AA similarity criterion:

EBA is similar to AED

The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles

Thus:

EBA is congruent to AFE

EBA is congruent to AFEDCE is congruent to EFD

Congruent triangles are similar

Conclusion:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Please give brainliest if it helps

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Let

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x-y=\frac{d}{60} ----> equation 1

when the girl is going down on escalator

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Adds equation 1 and equation 2

2x=\frac{d}{60} +\frac{d}{90} \\ \\ 2x=\frac{5}{180} d

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Time to climb (in step) with y=0 (escalator standing still)

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Substitute equation 3 in equation 4

t=\frac{d}{\frac{5d}{360}}  \\ \\ t=\frac{360}{5} \\ \\ t=72 steps

therefore

the answer is

72 steps

5 0
3 years ago
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Is (x-3) a factor of f(x) = x^2 - 32?
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Answer:

No

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Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

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