Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
she multiplied it 3 times, so, i dont think 8 should be negative.
Answer:
The coordinates of the other end is 
Step-by-step explanation:
Given
Required
Find the coordinates of the other end
Let Midpoint be represented by (x,y);
(x,y) = (5,2) is calculated as thus
So
and 
Where 
and 
So, we're solving for 
Solving for 
Substitute 5 for x and -6 for x₁
Multiply both sides by 2
Add 6 to both sides
Solving for 
Substitute 2 for y and 2 for y₁
Multiply both sides by 2
Subtract 2 from both sides
Hence, the coordinates of the other end is
Answer:
105
Step-by-step explanation:
500 goes into 100, 5 times
21 times 5 is 105
So 21/100 is equal to 105/500
Or you can do
500*0.21=105
