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13 votes
13 votes
The two triangles are similar. What is the value for the ? ? Round to the nearest tenth if necessary.

L 28 35° K J ? R 42 35° P 33​

The two triangles are similar. What is the value for the ? ? Round to the nearest-example-1
User Tomislav Dyulgerov
by
3.3k points

1 Answer

18 votes
18 votes

Answer:

KJ = 22

Explanation:

From the given diagram, since the figure are similar we can compare their sides.

So that,


(JL)/(PR) =
(JK)/(PQ)

Let KJ be represented by x. But;

JL = 28, PR = 42 and PQ = 33

Thus,


(28)/(42) =
(x)/(33)

x =
(28*33)/(42)

=
(924)/(42)

= 22

x = 22

The n,

KJ = 22

User Martin Christmann
by
2.9k points