2 years ago

7. Find DE. 11-25 E А 4x + 1 D С

Mathematics

2 answers:

irinina [24]2 years ago

5 0

<h3>Given:</h3>

AD = DC

BE = EC

It gives that 2(DE) = AB

The length of DE.

<h3>Explanation:</h3>

According to the question,

2(DE) = AB

By putting the respected values, we get

2( 4x + 1 ) = 11x - 25

or, 8x + 2 = 11x - 25

or, 25 + 2 = 11x - 8x ( transposition method )

or, 27 = 3x

or, x = 27/3 = 9

The value of x is 9.

DE = 4(9) + 1 = 36 + 1 = 37

<h2>Answer:</h2>

DE = 37

Arlecino [84]2 years ago

3 0

Answer:

DE = 37

Step-by-step explanation:

AD = DC and BE=EC ⇒

DE = 1/2AB

4x + 1 = 1/2(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
11x - 8x = 2 + 25
3x = 27
x = 27/3
x = 9

DE = 4*9 + 1 = 36 + 1 = 37

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