Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: 
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
Answer:
x = 25; both labeled angles are 65º
Step-by-step explanation:
To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.
In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.
Thus,
(3x - 10)° = (x + 40)°
Solve for x
3x - 10 = x + 40
Subtract x from both sides
3x - 10 - x = x + 40 - x
3x - x - 10 = x - x + 40
2x - 10 = 40
Add 10 to both sides
2x - 10 + 10 = 40 + 10
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
*Plug in the value of x to find the measure of each labelled angles:
(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°
(x + 40)° = 25 + 40 = 65°
Answer:
15, 8 inch boards
Step-by-step explanation:
120/8=15
Thanks for the question!
f(x) = 6 (1 - x)
f(-8) = 6 (1 - (-8))
f(-8) = 6 (9)
f(-8) = 54
Hope this helps!
Parallelogram, square, and rhombus have the attributes of a rectangle.
