A theorem states that, given a circle with center C and a point P on the circumference, the tangent line through P and the radius CP are perpendicular.
So, the answer is 90 degrees.
Complement means the other angle that will sum up to 90°
So:
x + 2x = 90°
3x = 90
x = 30°
So, it is 30° and 30 * 2°, or 60°
Answer:
It's proportional.
Step-by-step explanation:
Proportional means a straight line, like a parallel line.
The volume of the second prism is also ten times the volume of the first prism.
Let's assume that both prisms have:
width = 3 units
height = 4 units
Prism 1 length = 5 units
Prism 2 length = 50 units
Let's solve their respective volumes to compare...
Volume of prism 1 = length * width * height
= 5 * 3 * 4
= 60 units ^3
Volume of prism 2 = 50 * 3 * 4
= 600 units ^3
Prism 2/ prism 1 = 10
That means prism 2 is ten times the volume of prism 1.
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.



The slope-intercept form is
.
For the third one, we are already given the slope, so all we have to do is find b.




The slope-intercept form is
.
For the last one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form and find b.




Our slope-intercept form is
.