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IF NQZ IS SIMILAR TO CBK, FIND BK

IF NQZ IS SIMILAR TO CBK, FIND BK-example-1

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Answer:

Bk = 65

Explanation:

BK as we can see is 4x + 1

If two triangles are similar, the ratio of the corresponding sides are the same

Thus;

2x+7/27 = 4x + 1/45

45(2x + 7) = 27(4x + 1)

90x + 315 = 108x + 27

108x-90x = 315-27

18x = 288

x = 288/18

x = 16

From the question;

BK = 4x + 1

BK = 4(16) + 1

BK = 64 + 1

BK = 65

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