Answer:
x=100
Step-by-step explanation:
Because they are vertical angles, AEG=FEB
You can see that FED+DEB=FEB
Therefore, 80+20=FEB=100
Since FEB=100 and FEB=AEG
AEG=100
Answer:
7π cm² ≈ 22.0 cm²
Step-by-step explanation:
The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.
The formula for the area of a circle is
A = πr²
Using this, we find ...
Circle B area = π(3 cm)² = 9π cm²
Circle C area = Circle O area = π(1 cm)² = π cm²
Then the shaded area is ...
Shaded Area = Circle B area - Circle C area - Circle O area
= (9π cm²) - (π cm²) - (π cm²)
= 7π cm² ≈ 22 cm²
To solve this problem, you will first want to convert 5 pounds into ounces. To do this, first determine how many ounces is in 1 pound.
There are 16 ounces in 1 pound, so to convert 5 pounds into ounces, you simply have to multiply 5 × 16. This will give you 80 ounces total.
Allie give 12 ounces away, so you must first subtract 12 ounces from your total (80 ounces). 80 - 12 gives us 68 ounces.
Allie then divides the trail mix up into 4 ounce portions. To figure out how many small bags she can make, you simply divide your new total (68 ounces) by 4.
68 ÷ 4 = 17
Allie made 17 small bags.
