Bonita said that the product of 5/6 times 1 2/3 is 7/3 how can you tell her answer is wrong?

25/ 18 is not equal to 7/3

Step-by-step explanation:

Bonita said that the product of 5/6 times 1 2/3 is 7/3  

( 5/6)x ( 1 ⅔)  =  7/3  

( 5/6) x( 5/3) = 7/3

5/6  x 5/3   = 7/3

Thus, her answer is wrong 25/ 18 is not equal to 7/3

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

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32