Answer:
k=0.12d
Step-by-step explanation:
All triangles have a total of 180° in them.
So to find x, simply take 50° and 100° from 180°:
x = 180 - 100 - 50
= 30°
So x = 30°, and thus option D
Answer:
slope = 0
Step-by-step explanation:
The line with equation x = - 3 is a vertical line parallel to the y- axis
A perpendicular line is therefore a horizontal line parallel to the x- axis
The slope of the x- axis is zero, hence the slope of the horizontal line is
slope = 0
The inscribed angle theorem says that

Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have

and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.
1/4 hour is the same as 15 minutes. If it takes 15 minutes to paint 1/3, then it would take 45 minutes to paint the whole wall.