Answer:
528 cm²
Step-by-step explanation:
First I would calculate the area of the side rectangles:
20 x 9 = 180 cm²
There are two identical rectangles on both sides so i would x2
180 x 2 = 360 cm²
The area of the middle rectangle:
6 x 20 = 120 cm²
The area of the triangles:
Area of a triangle = (Base x Height)/2
8 x 6 = 48
48 ÷ 2 = 24
There are two identical triangles on the bottom and the top so x2
24 x 2 = 48
Now add all the values up:
360 + 120 + 48 = 528 cm²
I hope this helps!
Answer:
x = 24
Step-by-step explanation:
x +
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x +
x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x =
× 36
x = 24
There are 150 students in Hannah's school.
Sum of books donated by the students =b.
Average books donated by each student =
It is given Hannah donated 3 times as many books each student donated.
Number of books donated by Hannah= 
The expression of the number of books donated by Hannah= 
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Answer:
- Equal midpoints of AC and BC.
- The product of the slopes of the diagonals AC and DB is -1.
Step-by-step explanation:
1. Plot the given points, as you can see in the graph attached.
2. Calculate the midpoint of AC and DB:

Therefore, the midpoint of AC and DB are equal.
3. Calculte the slope of the diagonals AC and DB:

4. Multiply the slopes of the diagonals:
(AC and DB are perpendicular)