Question

guys please help this is a math question

Answer 1

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4$y^{2}$ = 6$y^{2}$ - 40

add 40 to both sides and subtract 4$y^{2}$ from both sides: 40 = 2$y^{2}$

you get: 20 = $y^{2}$

root square on both sides: $\sqrt{20}$ = $\sqrt{y^{2} }$

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6$y^{2}$ -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5