Students voted for a new class president and the results are shown in the table. A 2-column table with 3 rows. Column 1 is labeled Candidate with entries Rosalia, Jocelyn, Danny. Column 2 is labeled Votes with entries 124, 109, 111.

The ratios StartFraction 124 Over 344 EndFraction and StartFraction 109 Over 124 EndFraction both correctly describe the data in the table, but only the ratio StartFraction 124 Over 344 EndFraction is a fraction. Why?
A fraction should show a part-to-whole comparison.
Fractions do not compare whole amounts.
StartFraction 124 Over 344 EndFraction is a ratio, but StartFraction 344 Over 124 EndFraction is not.
The top number of a ratio must always be less than the bottom number.

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

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

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the correct answer is $7.38

step-by-step explanation:

hi how are you doing today? if you ever need just tell me

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