Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given: 
, 
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e 
and 
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1. , Given
2. Vertical angles are congruent
3. SAS
Answer:
267%
Step-by-step explanation:
you need to divide the second number by the first. This will give you the percentage.
2/3 ÷ 1/4 = 8/3 = 2.67 = 267%
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
Answer:
Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
