Same side interior angles have a sum of 180 degrees
49 + x = 180 degrees
x = 180 - 49 = 131 degrees
Solution: 131 degrees
Answer: f=9
Step-by-step explanation:
Subtract 4f from 6f to get 6 by itself. (2f-12=6) Then add 12 to 6 to get 2f by itself. (2f=18) Then divide 2 from 18 to get 9.
Answer:
180 ft²
Step-by-step explanation:
In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:
12 x 5 = 60 ft²
Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:
13 x 4 = 52 ft²
The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:
12 x 4 = 48 ft²
Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:
5 x 4 = 20 ft²
Add them all together:
20 + 48 + 52 + 60 = 180 ft²
Answer: B 1/3
Step-by-step explanation:
For every 3x it travels 1 y so you will get 1/3 as your answer.
At 50y the line is at 10x. By the time it is at 60 y it is at 40x. This was a change in y by 10 and change in x by 30. There fore the answer is 10/30 or 1/3.
Answer:
(1,-1)
Step-by-step explanation:
Hope it helps