Family vacationers were surveyed at a rest area in the Marion County Test Ares, 1-75 Southbound. The families were asked about what and how they primarily listen to music in

their family cars while on the road,

How many families listened to pop music on the radio?

84

Step-by-step explanation:

From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.

Therefore, the number of families who listen to pop music on radio is 84

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