Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴ 
Therefore, the measure of each angle is 
So,
Mark wants $100 for 10 hrs., or $10/hr.
Rick wants $80 for 9 hrs., or
$8.89/hr.
Steve wants $75 for 8 hrs., or $
/hr. or $9.38/hr.
Finally, Andy wants $60 for 5 hrs., or $12/hr.
We can see that <u>Rick</u> offers the best deal, at $8.89/hr.
Answer:
t = 5 seconds h = 128 feet
Step-by-step explanation:
The given equation of the object is :
.....1
When it hits the ground,
h(t) = 0
So,
The object will hit the ground in 5 seconds.
Now, put t = 1 s in equation (1).
The object is at a height of 128 ft at 1 second.
Answer:
гафу итегез, мин ярдәм итә алмыйм, миңа бик кирәк
Step-by-step explanation:
гафу итегез, мин ярдәм итә алмыйм
Answer:
Donation received in December = $ 25,400
Step-by-step explanation:
Given:
Average for 11 months = $20,600
Average for entire year = $ 21,000
Total amount received in first 11 months (A) = $20,600 x 11
= $226,600
Total amount received in entire year( 12 months) (B) = $ 21,000 x 12
= $252,000
Therefore,
Amount received in December month = (B) - (A)
= $252,000 - $226,600
= $ 25,400
