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5 votes
PLEASE HELP

Given that AABE~ AACD, what is the value of x?
A.
B.
C.
D.
1
4
6
12
5
6 E
A
2
C
X+4
B

PLEASE HELP Given that AABE~ AACD, what is the value of x? A. B. C. D. 1 4 6 12 5 6 E-example-1
User Ravibhat
by
7.5k points

2 Answers

6 votes

Answer:

6

Explanation:

We can begin by finding EA, which is 1 unit.

Using similar triangles AEB and ADC, we can set up a ratio.

1:6=2:x+6.

if a:b=c:d, then ad=bc

x+6=12

x=6

Feel free to tell me if I did anything wrong! :)

User Baraber
by
8.6k points
2 votes

Answer:

C

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is


(AB)/(AC) =
(AE)/(AD) ( substitute values )


(2)/(2+x+4) =
(6-5)/(6)


(2)/(x+6) =
(1)/(6) ( cross- multiply )

x + 6 = 12 ( subtract 6 from both sides )

x = 6

User GionJh
by
8.0k points

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