Which angle determines whether or not quadrilateral svut is a trapezoid? what measure would the angle need to be for svut to be a trapezoid? provide theorems and postulates you used and explain your reasoning.

 The answer is ∠TUV.

Step-by-step explanation: Given in the question a quadrilateral SVUT with ∠SVU = 112°. We need to determine the angle whose measure will decide whether or not the quadrilateral SVUT is a trapezoid.

We know that for a quadrilateral to be a trapezoid, we need only one condition that one pair of opposite sides must be parallel.

So, in quadrilateral SVUT, since the measure of  ∠SVU is given, so we can decide  it is a trapezoid or not if we know the measure of ∠TUV. As ST and UV cannot be parallel, so its meaningless to determine ∠TSV.

For SV and TU to be parallel to each other, we need

∠SVU + ∠TUV = 180° (sum of interior alternate angles).

Therefore,

∠TUV = 180° - 112° = 68°.

Thus, we need to determine ∠TUV and its measure shoul be 68°.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer: 800

step-by-step explanation: