a. 3
b. 4
c. 6
d. 8
![a 3 b 4 c 6 d 8 class=](https://us-static.z-dn.net/files/d92/d8f958b133e5a2459a8226c693c58553.png)
Answer:
D. x = 8
Explanation:
Triangle ACD is an enlarged triangle of Triangle ABE
so an equation can be formed to solve this:
[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{30+30}[/tex]
[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{60}[/tex]
3x * 60 = 48 * 30
180x = 1440
x = 1440 ÷ 180
x = 8
Triangle ACD is an enlarged triangle of Triangle ABE
so an equation can be formed to solve this:
[tex]\frac{3x}{30} = \frac{48}{30 + 30} [/tex]
[tex] \frac{3x}{30} = \frac{48}{60} [/tex]
[tex] \frac{3x}{60} = \frac{48}{30} [/tex]
[tex]180x = 1440[/tex]
[tex]x = \frac{1440}{180} [/tex]
[tex]x = 8[/tex]