Circumference of circle is 62.8 inches.
Step-by-step explanation:
Using Formula
Circumference of circle = 2 π r
Substitute the values
Circumference of circle = 2 × 3.14 × 10 inches.
multiply the numbers
Circumference of circle = 62.8 inches
Hence, the circumference of circle is 62.8 inches.
Given: ∠A is a straight angle. ∠B is a straight angle.
We need to Prove: ∠A≅∠B.
We know straight angles are of measure 180°.
So, ∠A and <B both would be of 180°.
It is given that ∠A and ∠B are straight angles. This means that <u>both angles are of 180°</u> because of the <u>the definition of straight angles</u>. Using <u>the definition of equality</u>, m∠A=m∠B . Finally, ∠A≅∠B by <u>definition of congruent. </u>
X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
Answer:
y = 3(x - 4)²
Step-by-step explanation:
X - 4y = 28
2x + y = 2
solve for x
y= -2x + 2
y= x/4 - 7
solve for system of equations
(4,-6)
x= 4, y= -6