Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:

b - base
h - height
The formula of an area of a rectangle:

l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:


The area of the figure:

Substitute:

It would equal 15. To get 15, you would first do 1*10= which equals 10. After that, you would add 5 to the 10 then there's your answer. I hoped this helped!
Answer:
AB = CD
BC = DA
Step-by-step explanation:
Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.
Answer:
1680
Step-by-step explanation:
Considering repeatition is not allowed.
We can use permutation to reach to the required answer.
Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.
Therefore, Total numbers = 5×8×7×6 = 1680
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3