What is the length of CD? In this diagram,
ABC ~ EDC.
1 answer:
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
![\frac{12-x}{18} =\frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B12-x%7D%7B18%7D%20%3D%5Cfrac%7Bx%7D%7B6%7D)
Cross multiply:
![6(12-x) = 18x](https://tex.z-dn.net/?f=6%2812-x%29%20%3D%2018x)
Distribute the '6':
![72-6x = 18x](https://tex.z-dn.net/?f=72-6x%20%3D%2018x)
Combine like terms and simplify:
![72 = 24x](https://tex.z-dn.net/?f=72%20%3D%2024x)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
Therefore, the length of CD is 3.
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Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - (-3) / -2 - (-1)
-2/-1
= 2
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