I need help with 9,11,12, and 13

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

8 0

#9
since LJ = LK + KJ, replace the letters with the corresponding equations. You'd get:
LJ = (7x-10) + 28
LJ = 7x + 18
Do you need an integer or is that okay?^

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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,

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By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

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