Question

In the figure, ΔABC ∼ ΔDEF. Solve for x. (5 points)

Triangles ABC and DEF. Angles B and E are congruent and measure 39 degrees. AB measures 20. BC measures 24. EF measures 6. DE m

x = 5
x = 12
x = 4
x = 7.2

Answer 1

welcome to QC!!!

Is there an image we can see or were you not provided one?

Answer 2

there wasnt an imagine provided

Answer 3

ok give me a second to draw something up

Answer 4

ok

Answer 5

OK, have you heard of CPCTC?

Answer 6

i think so

Answer 7

ok so im going to draw you the two triangles

Answer 8

ok

Answer 9

so follow CPCTC, we know that AB is congruent to DE, BC is congruent to EF, and CA is congruent to FD.

do you follow me so far?

Answer 10

yes

Answer 11

ok so you see how BC is labeled as 24 and EF is labeled as 6?

Answer 12

yeah

Answer 13

well, we need to find the scale factor .

since BC is bigger, we will put it on the top of the fraction:

\[\frac{ 24 }{ 6 }\]

and that ^ is equal to what?

Answer 14

4

Answer 15

yes.

now if AB is equal to 20, and AB is also congruent to DE, we are going to be finding DE.

what is 20/4