Maria keeps pictures of her baby in photo albums. She has one album of 72 pictures. She plans to put more photos in a second album that hold exactly 8 pictures per page, p. Which equation can be used to find t, the total number of picture in Maria’s collection?

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

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

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: