Mathematics, 19.08.2019 17:00 u8p4

How do you classify a pair of angles?

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Classifying pairs of angles...
Vertical Angles
Vertical angles are formed by two intersecting lines. They are a pair of angles that are across from one another and always have the same degree measurement.

Adjacent Angles
Adjacent angles are a pair of angles that share a side and a vertex but do not overlap.

Complementary angles
Complementary angles are a pair of angles that add up to 90o. Placing complementary angles together forms a right angle.

Supplementary angles
Supplementary angles are a pair of angles that add up to 180o. Placing supplementary angles together forms a straight line.

Corresponding angles
Corresponding angles are formed when a pair of parallel lines is intersected by a third line (also called a transversal line). They are a pair of angles that are at corresponding positions but are not adjacent angles. Corresponding angles are on the same side of the transversal line and always have the same degree measurement.

Alternate Interior Angles

Alternate interior angles are formed when there exists a transversal. They are the angles on opposite sides of the transversal, but inside the two lines the transversal intersects. Alternate interior angles are congruent to each other if (and only if) the two lines intersected by the transversal are parallel.

An easy way of identifying alternate interior angles is by drawing the letter "Z" (forwards and backwards) on the lines as shown below.

Alternate Exterior Angles
Similar to alternate interior angles, alternate exterior angles are also congruent to each other if (and only if) the two lines intersected by the transversal are parallel. These angles are on opposite sides of the transversal, but outside the two lines the transversal intersects.

Answer from: Quest

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

Answer from: Quest

b. the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

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