Answer:
<em>D. Point Y is the center of the circle that passes through points </em><em>D, E, and F.</em>
Step-by-step explanation:
Circumcenter-
- The circumcenter is the center of the triangle's circumcircle and circumcircle is the circle that passes through all three of the triangle's vertices.
- Circumcenter is the point where the perpendicular bisectors of a triangle intersect.
As point Y is the circumcenter of triangle DEF, so the circle, which is the circumcircle, with centre as Y must passes through the vertices D, E, F.
Answer:
C.
Step-by-step explanation:
pi(r)^2
pi(2x+1)^2
6x(4pix^2+4pix+1pi)
24pix^3+24pix^2+6pix
Answer:
Step-by-step explanation:
The altitude falls in the middle of the line.
So, the point at which it falls in the bottom line is the midpoint, so the length of the blue triangle would be 6/2 = 3
So, the blue triangle has length of 3 and height of H and hypotenuse of 10.
Now, we will use Pythagorean Theorem to solve for H. The theorem is:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know one leg of the triangle is 3 and another leg is H and hypotenuse is 10, so we substitute and solve:
This is the exact answer for H
It would be 48in because 4 times 6 is 24 and 24 times 2 is 48