Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
Time taken by Michelle to complete the work alone = 6 hours
Time taken by Nancy to complete the work alone = 3 hours
Now, when they both are working on the same job for 1 hour,
Amount of job completed = (1/6) + (1/3)
= (1 + 2)/6
= 3/6
= 1/2
So in 1 hours time they both will complete half of the job. Then in 2 hours Michelle and Nancy will complete the total job. I hope the answer has come to your help.
