1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
The formula for the area of a circle is
A=πr²
plug in the data we know
A=π4²
A=16π
Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)
A=84/360*16π
A=11.728
A=11.73 units²
answer: <span>A=11.73 units²</span>
Hi there!
There are several possible options.
A main one would be : 10 DIMES and 2 PENNIES
Other ones could be :
2 quarters
1 dime
2 pennies
62 pennies
12 nickels
2 pennies
and more !
Hope this helps !
Answer:
In mih's school there are 100 boys
While in Ella's school there are 80 boys
Step-by-step explanation:
X*1/5=20
X=100
X*1/4=20
X=80
Answer:
1/23
Step-by-step explanation:
The perpendicular slope will be the opposite reciprocal of the original slope so if slope of c is -23, slope of d is 1/23
