Answer:
(- 3, 5 ) & (-2,7)
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , thus
(5, 3 ) → (- 3, 5 )
Under a counterclockwise rotation about the origin of 90.
a point (x, y ) → (- y, x ) , thus
(7, -2 ) → (-2, 7)
Answer:
Step-by-step explanation:
because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price .. so answer C
For multiplying fractions keep the fractions the way they are then times both numerators together then the denominators which should make a fraction then you usually simplify.
Answer:
∠AKB = 22°
Step-by-step explanation:
Call the point of intersection of BK and AC point P. Then line BK is a transversal to parallel lines AK and BC. Alternate interior angles AKB and PBC will be congruent.
We know that angle PCB is 68°, the difference between 180° and the sum of the two given angles in ΔABC:
∠PCB = 180° -∠PAB -∠ABC = 180° -59° -53° = 68°
Since PB is an altitude, ∠CPB is a right angle. Then ∠PBC is the complement of ∠PCB, so is ...
∠PBC = 90° -68° = 22°
As we said, this is congruent to ∠AKB, so ...
∠AKB = 22°