Answer:
triangle to square: 4:6
triangle to total: 5:6
square to circle: 3:3
circle to total: 7:8
all to triangle: 8:5
triangle to circle: 6:2
19. If m<8=115 degrees, what is m<5?
Answer: The answer is 115<
Step-by-step explanation:
M<8 and m<5 are corresponding angles
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.
A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.
A.
(5, 6)
B.
(6, 8)
C.
(7, 10)
D.
(8, 17)
E.
(9, 18)
F.
(10, 21)
Answer:
Step-by-step explanation:
find the spot they are in first then do the answer
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
scatter plot titled students' data, with points plotted at 1 comma 75, 2 comma 70, 2 comma 80, 2 comma 90, 3 comma 80, 3 comma 100, 4 comma 95, and 4 comma 100, and a line of fit drawn passing through the points 0 comma 60 and 2 comma 80
Find the slope of the line of fit and explain its meaning in the context of the data.
80; a student who studies for 0 hours is predicted to earn 80% on the test
60; a student who studies for 0 hours is predicted to earn 60% on the test
10; for each additional hour a student studies, their grade is predicted to increase by 10% on the test
5; for each additional hour a student studies, their grade is predicted to increase by 5% on the test
Answer:
y = 10x + 60
The function goes through point (0,60), hence the intercept b of the line of fit is given as follows:
b = 60.
When x increases by 2, from 0 to 2, y increases by 20, from 60 to 80, hence the slope m is obtained as
The equation of the line of best fit for this data-set is; y = 10x + 60.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given that the function goes through point (0,60), hence the intercept b of the line of fit is given as follows:
b = 60.
Known that When x increases by 2, from 0 to 2, y increases by 20, from 60 to 80, hence the slope m is obtained as follows:
m = 20/2 = 10.
Hence the line of fit is given as follows:
y = 10x + 60.
Learn more about slope here:
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