On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100
points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the
test?
•4
•8
•12
•16

7

step-by-step explanation:

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

8

step-by-step explanation:

the answer is 11.2 (i know i’m late)