An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
If MN is angle bisector, then
m∠JMN=m∠NMK.
The two smaller angles are adjacent angles, then
m∠JMK=m∠JMN+m∠NMK=2m∠JMN.
Divide this equality by 2:
Answer:
a = 6
Step-by-step explanation:
7a-17 = 4a +1 ; Subtract 4a from both sides
3a - 17 = 1 ; Add 17 to both sides
3a = 18 ; Divide both sides by 3
a = 6
Answer:
d) 1
Step-by-step explanation:
3a = –2b – 7
We have the point (a, -5) so b = -5
Substituting in
3a = -2(-5) -7
3a = 10-7
3a = 3
Divide each side by 3
3a/3 = 3/3
a =1
First write what are given from the question
We write "<span>Craig scored 12 points in a game" as
</span>⇒ c = 12 <em>(first equation)</em>
We write "<span>Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
</span>⇒ m = 2c <em>(second equation)</em>
⇒ m = n - 5 <em>(third equation)</em>
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Second, find the expression for n based on what we write above
</span>From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24
This is the expression to find how many nelson scored
n - 5 = 24
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