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:
The number of car washed per club is:
The art club = 533 cars
The music club = 633 cars
The drama club = 414 cars
Step-by-step explanation:
The art club, music club, and drama club at Glendale High School raised money last summer by washing cars.•
For the art club
The art club raised about $3,200 and charged $6 per car.•
$6 = 1 car
$3200 = x
6x = 3200
x = 3200/6
x = 533.33333333 cars
Approximately = 533 cars
The music club earned approximately $3,800, charging $8 for each car
$8 = 1 car
$3800 = x
8x = 3800
x = 3800/8
x = 633.33333333 cars
Approximately = 633 cars
The drama club took in nearly $2,900, at a cost per car of $7.
$7= 1 car
$2900 = x
7x = 2900
x = 2900/7
x = 414.28571429 cars
Approximately = 414 cars
The number of car washed per club is:
The art club = 533 cars
The music club = 633 cars
The drama club = 414 cars
Find the surface area of the <em>two green cubes</em> first, 2x2 = 4 square centimeter ((each)).
Next find the surface area of the <em>blue rectangular prism</em>, 11 x 5 x 5 = 275 square centimeters.
Now add the the surface areas of the cubes and rectangular prism to find the total <em>area</em> <em>of the</em> <em>figure</em>,
4 + 4 + 275 = 283 square centimeters.
1 gallon here would mean 34 miles, so I believe the equation would just be g=34d, and you would need 17 gallons to travel 579 miles