Consider isosceles ΔXYZ.

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Step-by-step explanation:

1) An Isosceles triangle has three sides, in which two sides are of the same length and the third has a different length. It has two angles of the same value and a third angle with a different value, as well.    

In the figure is shown that angles Y and Z are the same, then the sides of this angles must be of the same length. This means that:  

XY=XZ  

(9n+12)ft=(15n-6)ft          

From this equation we have to find n:  

9n-15n=-6-12  

-6n=-18  

n=3  

2) The measure of the leg XY in ft  

XY=(9n+12)ft

Substitute the value of n calculated in the first question:

XY=(9(3)+12)ft

XY=39 ft

3) The measure of the leg XZ in ft

XZ=(15n-6)ft

Substitute the value of n calculated in the first question:

XZ=(15(3)-6)ft

XZ=39ft

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

i got 142 as my answer

step-by-step explanation: