Question

Find the distance between the points (-16, 10) and (-4, -6).
20
400
144
12

Answer 1

Which angles are complementary to each other?
Remember, complementary angles add up to 90 degrees.
(1 point)
L3 and L5
• <3 and L2
L3 and L1
L2 and L5

Answer 2

To find the distance between the points \((-16, 10)\) and \((-4, -6)\), we use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Substituting the coordinates of the points into the formula, we have:

\[
(x_1, y_1) = (-16, 10) \quad \text{and} \quad (x_2, y_2) = (-4, -6)
\]

Calculating the differences:

\[
x_2 - x_1 = -4 - (-16) = -4 + 16 = 12
\]
\[
y_2 - y_1 = -6 - 10 = -16
\]

Now squaring these differences:

\[
(x_2 - x_1)^2 = 12^2 = 144
\]
\[
(y_2 - y_1)^2 = (-16)^2 = 256
\]

Now substituting these values back into the distance formula:

\[
d = \sqrt{144 + 256} = \sqrt{400}
\]

Finally, calculating the square root gives:

\[
d = 20
\]

Thus, the distance between the points \((-16, 10)\) and \((-4, -6)\) is \(\boxed{20}\).

Answer 3

To identify which angles are complementary to each other, we must find pairs of angles that sum up to 90 degrees. However, you need to provide the measures of the angles (e.g., angle sizes in degrees) or a diagram that shows the relationships between the angles mentioned (L3, L5, L2, L1) to determine which pairs are complementary.

If you can provide the measures of the angles or any additional context, I can help you identify the complementary angles.