Question

7. Find DE.
11-25
E
А
4x + 1
D
С

Answer 1

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

Answer 2

Given:

AD = DC

BE = EC

It gives that 2(DE) = AB

To Find:

The length of DE.

Explanation:

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

Answer:

DE = 37