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If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined

If SLDG is an isosceles trapezoid what is the value of x SDx5 LG 5x21 O A 26 O B 23 O C 13 O D 18 O E 245 O E Cannot be determined class=

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Answer:

13

Step-by-step explanation:

akposevictor

Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

What is an Isosceles Trapezoid?

An isosceles trapezoid has two congruent legs and two diagonals that are congruent.

Given:

  • SD = 8x - 5
  • LG = 6x + 21

Thus:

SD = LG

Substitute

8x - 5 = 6x + 21

Combine like terms and find x

8x - 6x = 5 + 21

2x = 26

x = 26/2

x = 13

Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

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