gramalli05
gramalli05 gramalli05
  • 20-01-2021
  • Mathematics
contestada

Analyze the diagram below and complete the instructions that follow.



Find the value of x.
A. 18
B. 22
C. 24
D. 28

Analyze the diagram below and complete the instructions that follow Find the value of x A 18 B 22 C 24 D 28 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 20-01-2021

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )

x = 18 → A

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