What is the value of the sum?
drag and drop the answer into the box to match the sum with its value.
-7/9 + 2/3
a. -5/3
b.-13/9
c.-5/9
d.-1/9
e.-1/9

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

40 x 50 = 2000

step-by-step explanation: