Answer: VT equals 62
Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.
If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;
2x + 13 = 8x - 41
Collect like terms and you now have,
13 + 41 = 8x - 2x
54 = 6x
Divide both sides of the equation by 6
9 = x
Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.
Therefore, VT is calculated as follows;
VT = SW + WU
VT = 2x + 13 + 8x - 41
VT = 2(9) + 13 + 8(9) - 41
VT = 18 + 13 + 72 - 41
VT = 62
