Answered

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given the segments as shown for what value of x is the figure a rectangle
A. 5.
B. 7
C. 3
D. 9

Given The Segments As Shown For What Value Of X Is The Figure A Rectangle A 5 B 7 C 3 D 9 class=

Sagot :

MrRoyal

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Required

Determine the value of x

The diagonals of a rectangle are equal.

So:

[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]

[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]

[tex]3x + 3 = 7x -25[/tex]

Collect Like terms

[tex]3x-7x=-25-3[/tex]

[tex]-4x=-28[/tex]

[tex]x = \frac{-28}{-4}[/tex]

[tex]x = 7[/tex]

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