Answer:
Angle D is complementary to angle A
Step-by-step explanation:
Complementary angles sum to 90 degrees.
Since angle is B is 90 degrees, the sum of angles A and D are also 90 degrees to make a straight line with an angle measure of 180 degrees.
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain


Using the quadratic formula
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:


We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Answer:
(2,20)
Step-by-step explanation:
The given function is

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;
For the first point we substitute x=3 and f(x)=250

This is true.
For the second point (2,20), we put x=2 and y=20 to get:

This is false, hence (2,20) does not lie on this curve.
For (1,10), we have:

This is also true
Finally for (2,50), we have;

This is also true.
Answer:
The answer is 4th point
Step-by-step explanation:
√5(10 - 4√2)
= (√5×10)-(√5×4√2)
= 10√5 - 4√10
He is 5. 5 plus 5 is 10 plus 6 is 16. And 5 times 4 is 20 minus 4 is 16