Answer:
30 degrees
Step-by-step explanation:
Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, <em>A</em> and <em>C</em>.
The measure of an inscribed angle is always one half the measure of the intercepted arc. The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
This is called as sampling error or sampling variability. Sampling
error is the variability that happens because the value of a sample statistic varies
from sample to sample. Sampling error is acquired when a population is estimated
from a subset, or sample.
Check the picture below.
we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.
if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.
Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.