Answer:
∠AOC
Step-by-step explanation:
The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.
The symbol ∠ <u>means angle</u>.
You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.
Answer:
- (x + 10)² + (y + 4)² = 232
Step-by-step explanation:
<h3>Given </h3>
- Center = (-10, -4)
- Point on circle = (4, 2)
<h3>To find </h3>
<h3>Solution</h3>
<u>Remember the standard equation of circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius
<u>We have</u>
Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>
- r² = (-10 - 4)² + (-4 - 2)²
- r² = 14² + 6²
- r² = 232
<u>So the equation is:</u>
- (x + 10)² + (y + 4)² = 232
Answer:
<u>-4 </u>
Step-by-step explanation:
This is the slope-intercept form of a line equation.
This means that -5/3 is the slope of the line.
It also means that -4 is the y intercept.
<u>-4 is the y intercept.</u>
The angle is a complementary angle so both angles add up to 90 degrees
Therefore set your equation equal to 90 to find angle of x
53+x=90
Subtract 53 from both sides
X= 37 degrees
My triangle solver says EF ≈ 7.5 ft.
_____
The law of cosines is usually used for this.
EF^2 = DE^2 +DF^2 -2*DE*DF*cos(D)
.. = 6^2 +11^2 -2*6*11*cos(40°)
.. ≈ 55.88
EF ≈ √55.88 ≈ 7.5 . . . ft
