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avanturin [10]
1 year ago
8

The triangles are similar. Find x.A. 3.5B. 2.24C. 1.6D. 3.6

Mathematics
1 answer:
Lerok [7]1 year ago
5 0

When two triangles are similar, then the ratios of their corresponding sides will be equal:

so 2.4/3 = 2.8/x = y/4.5

Use the ratio that involves the x and the two values that are given:

2.4/3 = 2.8/x

Then, solve the equation for x to find the missing side:

2.4/3 = 2.8/x

(2.4 / 3 ) x = 2.8

x = 2.8 / (2.4/3)

x = 3.5

The correct option is A.

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Two angles form a linear pair. One angle measures (10x - 63). The other angle measures (8x)". What is the value of the larger
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Answer:

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Step-by-step explanation:

Given

Let the angles be A and B

A = 10x - 63

B = 8x

Required

Find the larger angle

If both angles form linear pair, then the following relationship exist:

A + B = 180

Substitute values for A and B

10x - 63 + 8x = 180

Collect Like Terms

10x + 8x = 180 + 63

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Solve for x

x = \frac{243}{18}

x = 13.5

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B = 8x

A= 10 * 13.5 - 63

A= 135 - 63

A= 72

B = 8 * 13.5

B = 108

<em>Hence, the larger angle measures 108</em>

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