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:
$162
Step-by-step explanation:
Discount = percentage discount ÷ 100 × original cost
Discount =
× $405 = $162
No it is not. If you had two fixed diagonals which are attached in the center, when they move it creates different parallelograms. The area would be close to zero if they were parallel.
I think (-6,-2) because it would switch into the all negative quadrant making them both negative.
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
First, we need to convert 2 2/3 hours to minutes. This would be:
= 2 2/3 × 60 minutes
= 8/3 × 60 minutes
= 160 minutes
Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:
= (162 1/2 × 2 2/3hours) / 15 minutes
= (162 1/2 × 160) / 15
= 1733 1/3 gallon