The data show the last 12 weeks of a
familys grocery bill:
$60, $60, $60, $80, $120, $120, $150,
$120, $300, $200, $100, $90.
which measure of center best
represents the data?
a. the mode of $60
b. the median of $110
c. the mode of $120
d. the mean of $121.67

your answer would be 12

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

other answer is correct. i had used the radius of the radius somehow. a website:

answer is because 4×10=40

and 98×4= is 392

40,392