Answer:
A
Step-by-step explanation:
The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that 
equals half of the difference of 
and the measure of the unlabeled arc.
First, we need to find the measure of the unlabeled arc, since we can't find without it. We know that the measure of the full arc formed by the circle is 
, so the measure of the unlabeled arc must be 
by the Arc Addition Postulate.
Now, we can find . Using all of the information known, we can solve for like this:
Hope this helps!
A. 12pi meters.
Circumference = pi x diameter (pi x 12 = 12pi)
Diameter = 2 x radius (2 x 6 = 12)
3x
We need to substitute x with 5 because the question is asking how many squats Carlos has completed if he completed 5.
3 x 5 = 15
Therefore, Carlos completed 15 squats as part of his football workout.
By the way, this question is very simple and basic. I recommend reviewing Algebra for your benefit/
X=-1 and y=3
To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.
You now have 3x - (2x + 5) =-6
This can be solved like a normal equation. Multiply each term in the parenthesis by -1.
3x - 2x - 5 = -6
Subtract 2x from 3x
x - 5 = -6
Add 5 to both sides
x=-1
Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.
y= 2(-1)+5
y= -2+5
y=3
You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
Answer:
12.496
Step-by-step explanation:
