Answer:
Step-by-step explanation:
1.5
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
Answer:
She earned $959.2 last week.
Step-by-step explanation:
This question can be solved using a rule of three.
Base:
$500.
On commissions:
She earns 8.2% on commissions.
She sold $5,600, which is 100% = 1. How much is 8.2% = 0.082?
x - 0.082
5600 - 1
x = 5600*0.082 = 459.2.
She earns $459.2 on commissions.
Total:
500 + 459.2 = $959.2
She earned $959.2 last week.