The membership in the math club at rogers junior high increased by 5% from last year to this year. the president of the math club used the following expression to find the number of members in the club this year.

m + m(0.05)
which of the following is another expression that could be used to get the same results?
a. 1.05m
b. m + 5
c. 105m
d. m + 1.05

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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

think the answer would beb