A perpendicular bisector
this means the length IJ=JK and the angles IJB, BJK are 90° (and their congruent angles too)
but this does not mean AB=IK, because their lengths can be arbitrary
for a similar reason AJ=IJ is wrong, essentially the same statement but with half lengths
BI=BK is true, because it is a bisector of IK this means the sides IJ=JK and JB is a shared side, therefore also having the same length. We also know IJB and BJK are congruent angles, so all in all these are congruent triangle and therefore also share the side length
BI=AK is false, because we don't know where the intersection point j is on AB, it could split the length into any arbitrary ratio, in case these are two equal sides then it would be true, but it doesn't hold for all other possibilities
so BI=BK is the solution
A) The formula for the volume of a sphere in terms of its radius (half the diameter) is
For your 18 cm sphere, the volume is
B) If the diameter were reduced by half, the volume would be
of the original volume.
Answer:
x=90°
y=55°
Step-by-step explanation:
A
D
C
B
let the triangle be named ABD
angleABD= 1/2 angleACD[ being angle formed at same
] arc
=1/2×180
= 90
now,
angleX + angleY + 35° = 180 [ sum of the angle
of the triangle]
90 + Y + 35 = 180
Y= 180-125
Y = 55
Rotation dilation translation reflection
Answer:
Options: A, B, and C correctly solve for x.
Step-by-step explanation:
A).
= 
Multiplying both sides by 2 gives;
5x = 15
x = 15 ÷ 5 = 3
∴ This option correctly solve for x.
B).
x + 
= 7
x = 7 - = 
∴ This option correctly solve for x.
C).
x + 3 = 
x = 
But the option give x as 5/6 hence this option does not correctly solve for x.
D).
5x = 11/2
x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10
But the option gives x as 10/11 so it does not correctly solve for x.
