Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software packages
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Hi there!
Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.
Therefore:
(ZY + WX)/2 = UV
Substitute in the given expressions:
[(6x + 5) + (x + 7)]/2 = 8x - 3
Simplify by combining like terms:
(7x + 12)/2 = 8x - 3
Multiply both sides by 2:
7x + 12 = 16x - 6
Subtract 7x from both sides and add 6 to both sides:
18 = 9x
Divide both sides by 9:
18/9 = x
x = 2.
Plug in this value of x into the equation for UV:
8(2) - 3 = 16 - 3 = 13.
<u>Given:</u>
An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.
We need to determine the lengths.
<u>Length of the remaining sides:</u>
Let the length of the sides of the isosceles trapezoid be x.
Let a be the length of the shorter base.
Let b be the length of the longer base.
Thus, we have;
The formula to determine the length of the sides is given by
Substituting the values, we get;
Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.