80/400 as a decimal is 0.2
Proof:
and
are isosceles triangles.
Explanation: Given in
D and E are angle bisector of
and
respectively.
Where G and H are points in AB such that
and
.
Let us take two triangles
and 
(Right angles)
BE=BE, (common segment)
( Because BE is angle bisector)
Thus,
(ASA)
Therefore, EH= CE (CPCT)
So, in
, EH=CE ⇒
is an isosceles triangle.
Now, in
and
,
(Right angles)
AD=AD (common segment)
( Because AD is angle bisector)
⇒
(ASA)
Thus, CD=DG (CPCT)
So, in
, CD=DG ⇒
is an isosceles triangle.
Answer:
The x-intercept is -2
Step-by-step explanation:
The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.
The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:
... (6 1/2, 8 1/2)
Hey Gary!
The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.
5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.
350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)
I hope this helps!