NyellieL415718 NyellieL415718
  • 03-11-2022
  • Mathematics
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If EF= 5x- 4 and HG = 3x +4, find EF

If EF 5x 4 and HG 3x 4 find EF class=

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YahairaS534339 YahairaS534339
  • 03-11-2022

EF = 5x - 4, HG = 3x + 4

The given figure is an rectangle EFGH

From the properties of rectangle EFGH:

The length of opposite sides of rectangle are always equal

So, EF = HG, EH = FG

Susbtitute the value of EF

EF = HG

5x - 4 = 3x + 4

5x -3x = 4 + 4

2x = 8

x = 8/2

x = 4

For the length of EF = 5x - 4

Substitute x = 4,

EF = 5x - 4

EF = 5(4) - 4

EF = 20 - 4

EF = 16

Answer : EF = 16

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