helpmenotfaillol
helpmenotfaillol helpmenotfaillol
  • 03-02-2021
  • Mathematics
contestada

what is the value of x? enter your answer in the box x= ​

what is the value of x enter your answer in the box x class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 08-02-2021

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

[tex]11 : 121 = 10 : 5x + 10[/tex]

Convert to fraction

[tex]\frac{11}{121} = \frac{10}{5x + 10}[/tex]

Factorize:

[tex]\frac{11}{121} = \frac{5*2}{5(x + 2)}[/tex]

Simplify

[tex]\frac{1}{11} = \frac{2}{x + 2}[/tex]

Cross Multiply

[tex]1 * (x + 2) = 2 * 11[/tex]

[tex]x + 2 = 22[/tex]

Collect Like Terms

[tex]x = 22-2[/tex]

[tex]x = 20[/tex]

Answer Link

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