"Bisect" is a mathematical term which means to divide into two equal parts. We can bisect angles, lines, and more. The line that divides is called the "bisector".
sample problem:
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If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m
of angle SQR =4x+15,find m of angle PQT.
Since it is mentioned that ray QS bisects the angle PQR, it is understood that the m of angle of PQT is </span><span><span>4x+15. It is because as metioned earlier, to bisect angles or lines, it means dividing into 2 equal parts, thus, bisect equal measurements of angles.
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Using the intersecting chord theorem:
15 x 2 = 5 x n
Simplify:
30 = 5n
Divide both sides by 5:
n = 30/5
n = 6 m
8 x n+8 = 16 x n+2
Simplify:
8n +64 = 16n +32
Subtract 8n from both sides:
64 = 8n +32
Subtract 32 from both sides:
32 = 8n
Divide both sides by 8:
n = 32 /8
n = 4
Answer:
11/15
Step-by-step explanation:
2/5 + 1/3
6/15 + 5/15 (which are equivalent fractions of 2/5 and 1/3 respectively)
11/15
Answer:
17/52
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given that
is in <em>fourth</em> quadrant.
is always positive in 4th quadrant and
is always negative in 4th quadrant.
Also, we know the following identity about
and
:

Using \theta_1 in place of \theta:

We are given that 

is in <em>4th quadrant </em>so
is negative.
So, value of 