Answer:
44m
Step-by-step explanation:
area of a trapezoid = (a+b)* h/2
since the distance between two parallel sides is 15, that would be your height
plug everything in and you get:
480 = (20 + b) *15/2
b = 44
Answer:
D
Step-by-step explanation:
So we have the expression:

And we want to evaluate it when x=25, y=10, w=11, and z=18.
So, substitute these values for the variables:

First, subtract within the parentheses:

Square 15:

Now, multiply the terms on the right. 10 times 11 is 110:

Multiply:

Finally, add:

So, our answer is D.
And we're done!
Answer:
x=4
Step-by-step explanation:
AB + BC = AC
AB= 6x, BC= x-5, AC= 23
Substituting what we know
6x + x-5 = 23
Combine like terms
7x -5 = 23
Add 5 to each side
7x-5+5 =23+5
7x = 28
Divide each side by 7
7x/7 = 28/7
x=4
Answer:
44°
Step-by-step explanation:
8x - 4 = 6x + 8 (This is because they are corresponding angles)
8x - 6x = 8 + 4
2x = 12
x = 12 ÷ 2
x = 6
6x + 8 = angle 1 (Vertically opposite angles are equal)
Substitute the value of x in the equation '6x +8' to get the size of the angle.
6 × 6 + 8
36 + 8 = 44°
Angle 1 = 44°