<span>In a triangle the sum of two sides is always greater than the third side.
Let x represent </span><span>possible measures for the third side of a triangle
</span><span>
20-15 < x < 20+15
5 < x < 35 </span>← answer
<span>C) 320 15/16 in3 ..........................................</span>
Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
= X - 0.2X
= 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
= 28.98
So the actual price of the sweater is $28.98.