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PilotLPTM [1.2K]
3 years ago
9

Quadrilateral ABCD is similar to quadrilateral EFGH.

SAT
1 answer:
Inessa [10]3 years ago
4 0

Answer:

s = 11

Explanation:

Given

The attachment completes the question.

Required

Find s

Because ABCD and EFGH are similar, then:

\frac{AB}{CD} = \frac{EF}{GH}

From the attachment:

AB = 2s

CD = 3s - 3

EF = 5.5

GH = 7.5

So, we have:

\frac{2s}{3s - 3} = \frac{5.5}{7.5}

Cross Multiply

2s * 7.5 = 5.5(3s - 3)

Open bracket

2s * 7.5 = 5.5*3s - 5.5*3

15s = 16.5s - 16.5

Collect Like Terms

15s - 16.5s = - 16.5

-1.5s = - 16.5

Make s the subject:

s = \frac{-16.5}{-1.5}

s = \frac{16.5}{1.5}

s = 11

<em>Hence, the value of s is 11 m</em>

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