Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


You do distance over time to get the rate, so you'd do 27/2= 13.5mph then divide that in half since you're asking for the distance traveled in half that hour so you do 13.5/2 and you get 6.75 miles traveled in half and hour.
Answer:
x = 44º
Step-by-step explanation:
∡P = 360 - 112*2 = 136º
∡A = x = 180 - 136º = 44º
Answer:
75
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Sum of Angles in a Quadrilateral: 360
Step-by-step explanation:
<u>Step 1: Set up</u>
75 + 120 + 90 + ∠4 = 360
<u>Step 2: Solve</u>
- Add: 285 + ∠4 = 360
- [Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75