Question

Analyze the diagram below and complete the instructions that follow.

Find AC.

Answer 1

Answer:

B

Step-by-step explanation:

Since two sides of each triangle are same , the third side is same as well.

The angles marked 40 and 5t are equal, so we can find t:

$5t=40\\t=\frac{40}{5}=8$

Now, Side DM is 3t or 3(8)=24

Side CA (or AC) is same as DM = 24

Correct answer is B.

Answer 2

Answer:

AC = 24

Step-by-step explanation:

Considering they are the same triangle:

5t = 40 degree

t = $\frac{40}{5}$

t = 8

As DF and AC are equal

DF = 3t

Thus AC is also equal to 3t

AC = 3t = 3 (8 ) = 24