Check the picture attached.
Let m(BAE)=m(ACD)=α
(BAE and ACD are congruent, since they are alternate interior angles, or Z angles)
Let m(ABE)=β.
So in triangle ABE, the measures of the angles are 90, α and β degrees.
This means that m(BCE)=β, since the 2 other angles of triangle BCE are 90 and α degrees.
thus, we have the similarity of triangles ABE and BCE,
so the following rations are equal:
![\frac{AB}{BC} = \frac{BE}{CE} = \frac{AE}{BE}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAB%7D%7BBC%7D%20%3D%20%5Cfrac%7BBE%7D%7BCE%7D%20%3D%20%5Cfrac%7BAE%7D%7BBE%7D%20)
so
![\frac{AB}{BC} = \frac{x}{5} = \frac{8}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAB%7D%7BBC%7D%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20%3D%20%5Cfrac%7B8%7D%7Bx%7D%20)
so
![\frac{x}{5} = \frac{8}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%20%3D%20%5Cfrac%7B8%7D%7Bx%7D)
![x^{2} =40](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%3D40)
![x= \sqrt{40}= \sqrt{4*10}=2 \sqrt{10}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%7B40%7D%3D%20%5Csqrt%7B4%2A10%7D%3D2%20%5Csqrt%7B10%7D%20%20%20)
(inches)
Remark, we can also apply Euclid's theorem directly.
The answer is 8 units. Hope this helps:)
Answer:
m = y2 - y1 divided by x2 - x1
-6/7 - 6 divided by 9 - - 7
-48/7 divided by 16
= -3/7
Answer: if a/b =/ c, then a =/ bc.
Step-by-step explanation:
inverse means to negate, so if somethings positive you need to change it to negative
Answer:
97.4
Step-by-step explanation: