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guajiro [1.7K]
2 years ago
12

In the diagram below, ABC~ DEC. What is the value of x?

Mathematics
1 answer:
pishuonlain [190]2 years ago
3 0

The value of x will be 3

From given diagram, triangle ABC and EDC meet at a common vertex C.

So, triangle ABC and EDC both are congruent to each other.

Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.

Therefore,

\frac{AB}{ED} = \frac{AC}{EC} = \frac{BC}{CD}

\frac{AC}{EC} = \frac{BC}{CD}

Simplifying the expression,

We get

(18-x)/x = 25/5

(18-x)/x = 5

18-x = 5x

18-x-5x = 0

18 - 6x = 0

- 6x = -18

x = 3

Hence, the value of x is 3.

Learn more about congruent triangle here:

brainly.com/question/2938476

#SPJ10

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3 years ago
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beks73 [17]

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2(9x^2+3)

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3 years ago
How many solutions does the equation −5a 5a 9 = 8 have? none one two infinitely many
Brut [27]

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5 0
2 years ago
Determine the mean of the data. Round to the nearest tenth. 6, 9, 15, 22, 30, 36
pshichka [43]
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So your mean would be 20 
let me know if you have any questions</span>
3 0
3 years ago
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