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suter [353]
3 years ago
12

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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Answer:

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Step-by-step explanation:

5x+2y=25\\5x-y=10

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

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Add from top to bottom:

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Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

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The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.

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A dependent variable can be affected by one or more than one independent variables.

In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.

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So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.

Thus, the dependent variable is number of calories burnt.

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