Add. reduce to lowest terms. 6 4/5 + 3 7/10 =

10  1/2

Step-by-step explanation:

The LCD here is 10.

Thus, our  6 4/5 + 3 7/10  becomes 6  8/10 + 3  7/10.

Adding the whole numbers, we get 9; adding the fractions, we get 15/10, or 1 1/2.  Combine this 9 and this 1  1/2:

Thus, our  6 4/5 + 3 7/10 becomes 10  1/2.

b. x + 1

step-by-step explanation:

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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