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°.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

283 square feet

step-by-step explanation:

good luck