What is AE ? Enter your answer in the box. ____units

Mathematics

2 answers:

olchik [2.2K]3 years ago

8 0

Question says to find AE based on given information in the picture.

We see that AB and CD are parallel lines

AD acts as transversal on AB and CD

then

∠CDE= ∠BAE {alternate interior angles}

similarly

∠DCE= ∠ABE {alternate interior angles}

∠CED= ∠BEA {opposite angles}

so by AAA property of triangles.

Triangle CDE and triangle BAE are similar.

By properties of similar triangles, we know that ratio of corresponding sides is always equal so we can write:

$\frac{DE}{AE}=\frac{CD}{BA}$

$=\frac{x+6}{2x+6}=\frac{8}{10}$

10(x+6)=8(2x+6)

10x+60=16x+48

10x-16x=48-60

-6x=-12

x=2

We have to find AE which is 2x+6

AE= 2x+6 = 2*2+6= 4+6 = 10

Hence final answer is AE = 10.

myrzilka [38]3 years ago

3 0

56 units is the answer

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Step-by-step explanation:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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