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.
Answer:
a) 7
b) -8.2
c) 0
d) -7
e) -1 3/4
f) 121
Step-by-step explanation:
Just put the opposite for each one. The absolute value is the distance away from 0.
Answer:y 43
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We are given the function:
And we want to find:
So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:
Since we are approaching from the left, we will use the first equation:
By direct substitution:
Right-Hand Limit:
Since we are approaching from the right, we will use the second equation:
Direct substitution:
So, we can see that:
Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:
Our answer is A.
