What is the formula of 4/9m=2 2/3

m =6

Step-by-step explanation:

4/9m=2 2/3

Change the mixed number to an improper fraction

2 2/3 = (3*2+2)/3 =8/3

4/9m = 8/3

Multiply each side by 9/4 to isolate m

9/4 * 4/9 m = 8/3 * 9/4

m = 72/12

m = 6

d

step-by-step explanation:

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