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Alenkinab [10]
3 years ago
6

Solve each system by elimination 7x + 8y = -29 -3x -8y = 17

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0
4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1
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Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE
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Answer:

AE = 11.76 units

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20

To find AE :

In ΔABC and ΔACE,

m∠ABC = m∠ACE ( Given )

∠A = ∠A    ( Common angle for both the triangles )

By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

\implies \frac{AC}{AB}=\frac{CE}{BC}=\frac{AE}{AC}\\\\\implies\frac{AC}{AB}=\frac{AE}{AC}\\\\\implies\frac{20}{34}=\frac{AE}{20}\\\\\implies AE=\frac{20\times 20}{34}\approx 11.76

Hence, AE = 11.76 units

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