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:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
The answer to your question is $36
Step-by-step explanation:
Data
Total money = $50
2 gallons of milk = $3
a loaf of bread = $2
a dozen of eggs = $3
Write an equation to solve this problem
Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost
Substitution
$3 + $2 + 3($3) + remainder = $50
Simplification
3 + 2 + 9 + remainder = 50
remainder = 50 - 3 - 2 - 9
result
remainder = $36
Answer:
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4
