Does this set of pairs of points pass the vertical line test? If it does, answer yes. If it does not pass the vertical line test, then give the input value for which the vertical line test fails. {(2,3),(−2,0),(3,4),(5,9),(2,−1)}

The given set of points failed the vertical line test. It fails due to the input (x) value of 2. Specifically, the ordered pairs that fail the vertical line test are (2,3) and (2,-1).

Please see the attached image.

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

Step-by-step explanation: