The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.
Answer:
3.
The length x width is the area so we have to replace it with the area of the cylinder.
The area of a circle is pi x radius^2
Hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let Vernice age be x
Her mother's age be 2x+10
10=1\2(2x+10) = 10×2=2x+10
20=2x+10
20-10=2x
10=2x
x=5
Answer:
$3,078.04
Step-by-step explanation:
-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.
-Her tax is then calculated as;
#10% bracket;
#12% Tax bracket:
The total tax=970+2108.04=$3,078.04
Hence, Lynn owes $3,078.04 in taxes.
S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93
There were 93 salads sold that day.
