In ΔIJK, ∠K ≅∠J, IJ = 9 and JK = 10. Find the length of KI.

KI = 9

Step-by-step explanation:

In ΔIJK,

∠K ≅∠J (given)

Therefore,

IJ ≅ KI (sides opposite to equal angles are equal)

Since,

IJ = 9

So,

KI = 9

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1