C. LOVE is an isosceles trapezoid, find the indicated measures. E U 1) If LO = 2x, YU= 15 and EV = 3x, find x, LO and EV.
2) If LE = 3x + 4, OV= 4x - 5, find x, LE and OV.
3) If YU= 16,LO = 3x+5 and EV = 5x +11, find x, YU, LO and EV. 4)
If LV = 5x - 28, and OE = 3x + 56, find x, LV and OE.
5) If YU=25, EV = 4x - 1 and LO = 3x + 2, find x, YU, EV and LO.
6) If LE = 2x + 3 and OV = 6x - 3, find x, LE and OV.
7) If OU = 2x + 14, and UV = 5x + 2, find x, OU and UV.
8) If EV = 5x + 6, LO= 4x + 5 and YU = 6x-2, find x, EV, LO and YU.
Answers & Comments
THE ISOCELES TRAPEZOID LOVE
An isosceles trapezoid is a type of trapezoid where the two non-parallel sides (the legs) are congruent. In other words, it is a trapezoid with two parallel sides, where the two non-parallel sides are equal in length. The parallel sides of an isosceles trapezoid are sometimes called the bases, and the distance between the bases is called the height of the trapezoid. An isosceles trapezoid has two pairs of equal angles, one pair of acute angles and one pair of obtuse angles, and the diagonals of an isosceles trapezoid are equal in length and bisect each other.
LET'S SOLVE THE PROBLEMS IN ISOCELES TRAPEZOID
Now, we can start solving each problem:
Since LOVE is an isosceles trapezoid, we know that LO = EV. So we can set 2x = 3x and solve for x:
3x - 2x = 0
x = 0
Therefore, LO = 2(0) = 0 and EV = 3(0) = 0. But this doesn't make sense since LO and EV should be equal and nonzero. So there must be a mistake in the problem statement.
Since LOVE is an isosceles trapezoid, we know that LE = OV. So we can set 3x + 4 = 4x - 5 and solve for x:
4x - 3x = 9
x = 9
Therefore, LE = 3(9) + 4 = 31 and OV = 4(9) - 5 = 31.
Since LOVE is an isosceles trapezoid, we know that LO = EV. So we can set 3x + 5 = 5x + 11 and solve for x:
2x = -6
x = -3
Therefore, LO = 3(-3) + 5 = -4 and EV = 5(-3) + 11 = -4. But this doesn't make sense since LO and EV should be equal and positive. So there must be a mistake in the problem statement.
Since LOVE is an isosceles trapezoid, we know that LV = OE. So we can set 5x - 28 = 3x + 56 and solve for x:
2x = 84
x = 42
Therefore, LV = 5(42) - 28 = 202 and OE = 3(42) + 56 = 182.
We can read more problems samples about isosceles trapezoid in this link. https://brainly.ph/question/25070860
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