Answer:
Therefore the value is
Step-by-step explanation:
Given:
....Given
Step 1. Applying Distributive Property A(B+C)=AB+AC we get
Step 2. Add 15 both the side
Step 3. Dividing both the side by 9
Therefore the value is
Answer:
The width is 20 ft and the length is 80 ft
Step-by-step explanation:
Area = l * w
l = w +60
SA = 1600 ft^2 ( which is the regular area) The surface area of the water is just what is on top which is length times width
1600 = l*w
Substitute in l = w+60
1600 = (w+60) *w
Distribute the w
1600 = w^2 +60w
Subtract 1600 from each side
1600-1600 = w^2 + 60w -1600
0 = w^2 + 60w -1600
Factor
0=(w-20) (w+80)
Using the zero product property
w-20=0 w+80 =0
w=20 or w=-80
The width cannot be negative so
w=20
Now we need to find the length
l = w+60
l = 60+20
l =80
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!
Step-by-step explanation:
Everything the parallel lines has the same slope
m = slope
b = y intercept
then the equation of the line is:
