Squizzy69
Squizzy69 Squizzy69
  • 16-06-2022
  • Mathematics
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Given that ABCD is a rhombus, what is the value of x? ​

Given that ABCD is a rhombus what is the value of x class=

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sqdancefan
sqdancefan sqdancefan
  • 16-06-2022

Answer:

  E.  18.6

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.

__

solve for x

Complementary angles total 90°.

  (x°) +(4x -3)° = 90° . . . . . the marked angles are complementary

  5x = 93 . . . . . . . . . . . .  divide by °, add 3

  x = 93/5 = 18.6 . . . . . divide by the coefficient of x

The value of x is 18.6.

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