Maria earned & 10.50 per hour working at an ice cream shop. she earned $147 each week before taxes. write and solve an equation to find the number of hours (h) she worked each week.

x= 149. 24+7=31. 180-31=149

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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

x-3y=4

step-by-step e