17/4 as a mixed fraction would be 4 1/4
Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement
Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD
Definition of angle bisector
∠FBE ≅ ∠CBA
Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD
Transitive property
∠FBE + ∠EBD = ∠FBD
Angle addition postulate
∠CBA + ∠CBD = ∠ABD
Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD
Transitive property.
Answer:
x=0
Step-by-step explanation:
4x²-18x²=0 (combine like terms)
-14x²=0
x²/-14=0/-14
√x²=√0
x=0
Consider a circle with radius
centered at some point
on the
-axis. This circle has equation

Revolve the region bounded by this circle across the
-axis to get a torus. Using the shell method, the volume of the resulting torus is

where
.
So the volume is

Substitute

and the integral becomes

Notice that
is an odd function, so the integral over
is 0. This leaves us with

Write

so the volume is
