In the proportion 5/6=10/12 the means are 6 and 10. true false

Step-by-step explanation:

When two ratios are same then they are called proportion. A proportion can be written as follows.    

                     p : q : : r : s

or,              

In the proportion given above, the values p and s are called extremes. Whereas values q and r are called mean.

Thus, in the proportion , the means will be 6 and 10.

Hence, we can conclude that the given statement is true.

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