Amanda tells you that because a variable is in the denominator, the equation 2/x + 3/5 = 4/10 becomes unsolvable. Amanda explains, "There is a value for x that makes the
denominator zero, and you can't divide by zero." Demonstrate to Amanda how the equation is still solvable and explain your reasoning. (10 points)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

if you was gonna solve for a, a is a   < -12

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3