Answer:
34°
Step-by-step explanation:
The measure of vertical angles formed by two chords is equal to one half the sum the measures of the arcs.
In other words, x is the average:
x = (23° + 45°) / 2
x = 34°
Answer:
the constant of proportionality is 5-D
Answer:
The cost of fertilizing the field is 
Step-by-step explanation:
we know that
The area of the figure is equal to the area of the rectangle plus the area of a complete circle (two semicircles)
Step 1
Find the area of the rectangle
The area of rectangle is equal to
where
L is the length side of rectangle
w is the width side of the rectangle
In this problem we have
substitute
Step 2
Find the area of the circle
The area of the circle is equal to
where
r is the radius of the circle
In this problem we have
substitute
Step 3
Find the area of the figure
Adds the area of rectangle and the area of the circle
Step 4
Find the cost
Multiply the total area by 
so
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
<u>Step-by-step explanation:</u>
Percent stands for per hundred.
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
Example – 75%
= 75/100
= 0.75
<u>To convert decimal to mixed fraction:</u>
1. Divide the given decimal number by the place of the decimal and remove the point from the numerator.
Example – 5.25
= 525/100
2. Simplify the fraction if possible.
Example = 525/100 = 21/4
3. Divide the numerator by the denominator.
On solving we get, 5 as the quotient and 1 as the remainder.
To convert into a mixed fraction = the remainder becomes the numerator and denominator remains the same
Mixed fraction becomes = 5 1/4
