Answer:
Triangles A and E could lie on a graphed lin with a slope of 6
Triangles B and F could lie ona graphed line with a slope of 1/4
Triangles C and D could lie on a graphed line with a slope of 2/5
Step-by-step explanation:
The slope is rise over run.
Triangle A goes up 54 and to the right 9 so the slope is 54/9=6
Triangle B goes up 15 and to the right 60 so the slope is 15/60=1/4
Triangle C goes up 18 and to the right 45 so the slope is 18/45=2/5
Triangle D goes up 16 and to the right 40 so the slope is 16/40=2/5
Triangle E goes up 72 and to the right 12 so the slope is 72/12=6
Triangle F goes up 13 and to the right 52, so the slope is 13/52=1/4
From there we can find which slopes are the same.
Knowing it has to be perpendicular, the slope of the new line has to be -2.
y = -2x + b
Plug the coordinate pair into the equation.
10 = -2(7) + b
10 = -14 + b
24 = b
So the final equation for the line is...
y = -2x + 24
X² =64
x = √64
x = 8
answer is 8
8² = 64
Answer: C- Holiday preference and housing status are associated because the percentage of people who favor each holiday differs by housing status
Step-by-step explanation:
Answer:
The angle of elevation is equal to 68.2 degrees
Step-by-step explanation:
As you can see from the image below we are trying to find the angle on the bottom right.
We know that the hypotenuse is equal to 14 and we know that the opposite is equal to 14. This means that we will be using Sine.
sin x = 13/14
divide:
sin x = 0.9285714286
now we need to use sin^-1
sin^-1 (0.9285714286) = 68.21321071
Round 68.21321071 to the nearest tenth:
68.2
The angle of elevation is 68.2 degrees!