live4dramaoy0yf9
live4dramaoy0yf9 live4dramaoy0yf9
  • 04-02-2019
  • Mathematics
contestada

Help with this question please!

Help with this question please class=

Respuesta :

gmany
gmany gmany
  • 11-02-2019

Answer:

[tex]\large\boxed{x=2,\ -2}[/tex]

Step-by-step explanation:

[tex]\text{If the trapezoid EFGH is isosceles, then the angles}\ HEF\ \text{and}\ GFE\\\\\text{are congruent. Therefore}\ m\angle HEF=m\angle GFE.\\\\\text{We have the equation}\\\\4x^2+16=5x^2+12\qquad\text{subtract 16 from both sides}\\\\4x^2=5x^2-4\qquad\text{subtract}\ 5x^2\ \text{from both sides}\\\\-x^2=-4\qquad\text{change the signs}\\\\x^2=4\to x=\pm\sqrt4\\\\x=-2\ or\ x=2[/tex]

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