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Xelga [282]
3 years ago
5

What is the value of x and the length of segment DE?

Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

x  = 6.6 and DE = 16.2

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

\frac{5}{9}= \frac{9}{(2x+3)}

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

\frac{5}{9}= \frac{9}{(2x+3)}

Multiply both sides by 9(2x+3)

\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)

5(2x + 3) = 9(9)

10x + 15 = 81

Subtract 15 from both sides

10x + 15 - 15 = 81 - 15

10x  = 66

Divide both sides by 10

\frac{10x}{10}  = \frac{66}{10}

x  = \frac{66}{10}

x  = 6.6

From the attached;

DE = 2x + 3

Substitute 6.6 for x

DE = 2(6.6) + 3

DE = 13.2 + 3

DE = 16.2

Hence x  = 6.6 and DE = 16.2

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