Ok from the given the best choice to go with will be option B because its going from an up right and its going to flip and rotate.
Answer:
C.
Step-by-step explanation:
The volume should be 5x^3.
The length is 5x and the width is x so the length is 5 times the width.
Answer:
Step-by-step explanation:
Hello There!
For this problem we want to split the irregular 3d figure into two regular 3d figures
Two rectangular prisms with the following dimensions
rectangular prism 1
length - 5 feet
width - 12 feet
height - 5 feet
rectangular prism 2
length - 5 feet
width - 5 feet
height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)
Now to find the volume of each individual prism...
So remember the formula for volume of a rectangular prism is
volume = length x width x height
so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)
For rectangular prism 1
V = 12 x 5 x 5
12x5x5=300 so the volume of rectangular prism is 300 cubic feet
For rectangular prism 2
V = 10 x 5 x 5
10x5x5=250 so the volume of rectangular prism is 250 cubic feet
our final step is to add the two volumes together
250 + 300 = 550
so we can conclude that the volume of the rooftop is 550
Answer:
1) 5/7
2) (21, 5)
Step-by-step explanation:
1) The slope of the line passing through the points (7, 5) and (21, 15) is
because slope is (difference of y)/(difference of x)
the first option is correct
2) 1/3 of 5/7 is 5/21.
The line will be in the form of
y = 5/21 x + b where b is the y-intercept.
Find the complete equation by plugging in (0,0) since it passes thorugh the origin.
0 = 5/21 (0) +b
0=0+b
b=0
The equation: y=5/21 x
let's check each option by plugging in.
y= 5/21 (3)= 5/7
y is not 5 but 5/7
y= 5/21 (3)= 5/7
y is not 7 but 5/7
y= 5/21 (21) = 5
y is 5, which matches with the answer choice!!!
y= 5/21 (21) = 5
y is 5, not 7.
The third option is correct
I believe the answer to this is the SSS Similarity Theorem.
This is because you proved all three of the corresponding sides of the two triangles are proportional.