I dont have time to do all of these right now my apolgies but Ill explain how to do it.
The 3 angles of a triangle add up to 180.
So let me show you how to do 1.
.
.
.
1. 58 degrees
92, 30, ?
If we add together the first two angles,
92+30= 122
Knowing the total addition of all three angles would ne 180, we can subtract 122 from it to get the third angle.
180-122= 58
So we now know the last angle is 58 degrees because
92+30+58=180
Its 75 because you at the 2 variables and then subtract them by 180 so 180-105=75
Actually, the correct volume formula is:
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume = <span> (4/3) * PI * (1.25)^3
</span>Sphere Volume = (4/3) * PI *
<span>
<span>
<span>
1.953125
</span>
</span>
</span>
Sphere Volume =
<span>
<span>
<span>
8.1812308687
</span>
</span>
</span>
cubic inches
<h3>
Answer: A. 9</h3>
=====================================================
Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.
