Angles ACD and ACE are supplementary. They combine to form a straight angle which is 180 degrees. Let x be the measure of angle ACE.
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(angle ACD) + (angle ACE) = 180
100 + x = 180
x = 180-100 .... subtract 100 from both sides
x = 80
<h3>angle ACE is 80 degrees</h3>
We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = 
feet = 5.25 feet.
We are also told that Maria has 
foot of trim left, so total length of trim would be trim used plus trim left that is 
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = 
yards = 2 yards
Therefore, the length of the trim was 2 yards.
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
Answer:
2. 1 8/9 gallons
Step-by-step explanation:
5 2/3 divided by 3
5.66666667/3 = 1.88888889
.88888889 = 8/9
1 + 8/9 = 1 8/9
The sales tax is $1.40 and the cost is $21.50. I think!
