5. complementary = 80 degrees
supplementary = 170 degrees
6. complementary = 47.5 degrees
supplementary = 137.5 degrees
7. complementary = 10 degrees
supplementary = 100 degrees
8. false
9. true
10. true
11. true
12. false
13. true
14. false
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given as:
y = mx + b; where m is the slope of the line and b is the y intercept (that is value of y at x = 0).
a) From the graph, we can see that the straight line touches the y axis at $100 in which the temperature is 0 degrees. Therefore the y intercept is:
(0, 100)
b) The slope of the line can be gotten by taking two points that the line passes through. Using the points (0, 100) and (12, 500):
Answer:
36
Step-by-step explanation:
Answer:
B. 5 ≤ n≤ 8
f. 10 ≤ S ≤ 16
C. c=2n
d. S = c
Step-by-step explanation:
Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?
She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.
A. 5<n<8
B. 5≤ n≤8
C. c=2n
d. S = c
e. 10<c<16
f. 10≤S≤16
Let
n = number of people at the get together,
c = number of cups of water,
S = number of scoops of lemonade powder.
She expects a total of 5 to 8 people to be there (including herself).
B. 5 ≤ n ≤ 8
She plans to prepare 2 cups of lemonade for each person.
With minimum of 5 people and maximum of 8 people
2 × 5 = 10
2 × 8 = 16
f. 10≤S≤16
The number of cups of water is twice the number of people at the party
C. c=2n
Number of scoops of lemonade powder is equivalent to number of cups of water
d. S = c
We are given a diagram with different rays and lines.
Note: A line can be extend more and more upto infinitely length from both of the ends but a ray can be extend from from end only.
We need to find the rays for the line BE.
We can see BE line has a point A in between line.
So, we can name the rays formed with end point A as AB and AE.
<h3>Therefore, AB and AE rays are part of line BE.</h3><h3>So, the correct option is 2nd option :</h3><h3>AB and AE.</h3>
