Question

In the figure, ΔABC ~ ΔDEF. Solve for x.

x = 16.36
x = 55
x = 2.2
x = 66

Answer 1

x over 11 = 30 over 6
Then cross-multiply
It would then be 6x = 330
Divide 6 on both sides
Then the answer would be x= 55

Answer 2

Answer: The correct option is (B) 55.

Step-by-step explanation: We are given two similar triangles ABC and DEF.

We are to find the value of x.

From the figure, we note that

DE = 6 units, DF = 11 units, AB = 30 units and AC = x units.

We know that the corresponding sides of two similar triangles are proportional.

So, from ΔDEF and ΔABC, we get

`(DE)/(AB)=(DF)/(AC)\\\\\\\Rightarrow (6)/(30)=(11)/(x)\\\\\\\Rightarrow (1)/(5)=(11)/(x)\\\\\Rightarrow x=11* 5\\\\\Rightarrow x=55.`

Thus, the value of x is 55 units.

Option (B) is CORRECT.