Answer:
The given quadrilateral is a parallelogram.
Step-by-step explanation:
If a quadrilateral is a parallelogram , then the opposite sides would be equal.
Here we are going to equate the length of 1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.
AB = 6x
BC = 3x
DC = x + 15
AD = 9
Equate AB and CD,
6x = x + 15
5x = 15
x = 3
Now BC and DA should be equal.
BC = 3x = 9
Also DA = 9
As we can see, the other pair of opposite sides are also equal.
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
Hence , the given quadrilateral is a parallelogram.
To get more bang for his buck
Answer: 247.35
Step-by-step explanation:
Answer:
x = 24, PR = 404, QS = 404
Step-by-step explanation:
PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:
PR = QS
18x - 28 = x + 380
Solving for x, we get:
18x - x = 380 + 28
17x = 408
x = 408/17
x = 24
Thus, PR = 18(24) - 28 = 404 and QS = 24 + 380 = 404
Third choice is right.