The value of x is option C) x=8.6
Step-by-step explanation:
Given that,
- The triangle ABC is similar to triangle DEC.
- It means that the side AB of triangle ABC is in proportion to side DE of triangle DEC.
⇒ AB/DE
⇒ 11/7.
Also, the side AD of triangle ABC is in proportion to side DC of triangle DEC.
⇒ AD/DC
⇒ (x+15)/15.
To find the value of x :
Equating the two proportions AB/DE and AD/DC.
11/7 = (x+15)/15
Keep x term alone on one side,
x+15 = 15[tex]\times[/tex](11/7)
x = (165/7) - 15
x = 23.6 - 15
x = 8.6
