When an angle is bisected it means that the bisector splits the angle in exactly half. This means that m<ABD and m<CBD are equal. Knowing this you can make an equation of setting them equal to each other so that you can solve for x:
First combine like terms:
Now isolate x by multiplying -2 to both sides
x = 100
Now to find m<ABC add both m<ABD and m<CBD together while plugging 100 in for x:
50 + 17 + 100 - 33
134
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The volume of the sphere is .
Step-by-step explanation:
The volume enclosed by a sphere is given by the formula
Where r is the radius of the sphere.
The diameter of a sphere is twice as long as any radius of the same sphere and is given by the formula
We know that the diameter of the sphere is 0.926 inch. The radius is
The volume of the sphere is
and rounding to the nearest thousandth we get .