Point p partitions the directed segment from a to b in the ratio of 2 to 3. ap is what percent of ab?

AP is 40 % of AB.

Step-by-step explanation:

Given: Point P divides Line Segment AB in Ratio 2 : 3.

To find: AP % of AB

Since, P divide in 2 : 3

⇒ AP : PB = 2 : 3

Total of AP & PB is AB

Total Part of 2 : 3 = 2 + 3 = 5

So, 2 represent AP length

     3 represent PB length

     5  Represent AB length

Percentage for AP of AB =

                                         =  

                                         =  40 %

Therefore, AP is 40 % of AB.

1.true 2.false? ? i think. .

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