Answer:
132 kilometers
Step-by-step explanation:
Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.
To find: Number of kilometers Pamela drove in 12 liters of fuel.
Solution:
It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.
So, let us assume that she can travel x kilometers in 12 liters of fuel.
By proportionality we have,




Hence, she can travel 132 kilometers in 12 liters of petrol.
Given:
- Surface area of cube = 150 ft²
To Find:
Solution:
As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube
We know that,

Substituting the required values,

- Edge of the cube is 5 feet
Now,

Hence,
- Volume of the cube is 125 cu. feet
Answer:
m∠K = 36°
m∠L = 54°
m∠M = 90°
Step-by-step explanation:
A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.
-> The little "box" in angle M means that it is equal to 90°
90° + (2x + 42)° + (4x + 12)° = 180°
90° + 42° + 12° + 2x° + 4x°= 180°
144° + 6x°= 180°
6x° = 36°
x = 6°
[m∠K]
4x + 12
4(6) + 12
36°
[m∠L]
2x + 42
2(6) + 42
54°
Answer:
definantly 3/2
Step-by-step explanation:
perpendicular means same slope
Y=4x+16
If the line is parallel to y-1=4(x+3), the slope has to be the same, meaning that the slope has to be 4.
Putting this slope and the point into point slope form, we get the equation:
y-32=4(x-4)
Which can be simplified into slope intercept form:
y-32=4x-16
y=4x-16+32
y=4x+16