Enter the coordinates of the point on the unit circle at the given angle 180 degrees
2 answers:
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The given congruency of the sides and
and
and
as well
as the congruency of the common side gives.
ΔBEL ≅ ΔLOB by SSS congruency postulate
<h3>Which values correctly completes the table?</h3>The completed two column proof is presented as follows;
Statement Reasons
1.
1. Given
2. ≅
2.
3.
3. <u>Reflexive property of congruency</u>
4. ΔBEL ≅ ΔLOB 4. <u>SSS congruency postulate</u>
Side-Side-Side, SSS, congruency postulate states that if three sides of
one triangle are congruent to three sides of another triangle, the two
triangles are congruent.
Learn more about different congruency postulates here:
All the answers to the given parts are mentioned below -
<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.
We can write the proportional relationship as -
y = kx
Now, from the given information, we can write -
2 scoops need 0.5 gallon of water
6 scoops need 1.5 gallon of water
So -
k = 2/0.5
k = 2/(1/2)
k = 2 x 2 = 4
Equations that represents the relationship can be written as -
y = 4x + c
Now, 2 scoops need 0.5 gallon of water.
2 = 4 x 1/2 + c
2 = 2 + c
c = 0
So, the equation will be y = 4x.
Graph of y = 4x is attached at the end.
For 10 scoops of water -
10 = 4x
x = 2.5 gallons of water is needed.
Therefore, all the answers to the given parts are mentioned above.
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