Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)
2/5 a+ 2/5 b+3/5 a+ 3/5 c
combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a
new simplified equation:
a+2/5 b+3/5 c
Answer:
k = -5
Step-by-step explanation:
The variable is k
9k + 1 = -9 + 7k
-7k -1
2k = -10
2k/2 -10/2
k = -5
:)
First you find the unit rate. (Divide 2.76 by 18)
You will find out that each ounce costs $0.15
Then divide 2.07 by 0.15.
The answer is 13.8 ounces.
The measure of angle ABC is 45°
<em><u>Explanation</u></em>
Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)
According to the diagram below....
Length of the side BC (a) 
Length of the side AC (b) 
Length of the side AB (c) 
We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...
So, the measure of angle ABC is 45°
Answer:
7) 49°
8) 77°
9) 87°
10) 135°
Step-by-step explanation:
7) The angles are between the parallel lines, so are "interior." They are on opposite sides of the transversal, so are "opposite interior" angles. Such angles are congruent, so ...
... ? ≅ 49°
8) The angles are adjacent interior angles, so are supplementary.
... ? + 103° = 180°
... ? = 77°
9) The angles are outside the parallel lines, so are "exterior." They are on opposite sides of the transversal, so are "opposite exterior" angles. Such angles are congruent.
... ? ≅ 87°
10) These are vertical angles, so are congruent. (The other parallel line is irrelevant and doesn't need to be there for this relationship to be true.)
... ? ≅ 135°
