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SSSSS [86.1K]
3 years ago
9

PLEASeeeee helppp.Anyone someon​

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:

32 (degrees)

Step-by-step explanation:

Triangles AED and ACB share a common angle A.

Two of the corresponding sides have the same ratio: AB=AD+DB=2AD, AC=AE+EC=2AE

Therefore the triangles are similar.

Therefore the corresponding angles are congruent, in particular

∠AED ≅ ∠ACB

∠ECF is just another name for ∠ACB

∠AED ≅ ∠ECF

So their measures must be the same,

m∠AED = m∠ECF = 32°

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This is a System Of Equations and I'd like it to get solved by the Elimination or Substitution Method.x+2y=83x+5y=8
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Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

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83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

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Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

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