Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
the answer is 3/4 b.s it's greatest
Total number of people in the sample = 193 + 127 + 96 = 416
Probability of picking 23-30 year old = 92 /416 = 0.2212 ( not including the people who smoke)
Number of people who smoke = 60+35+23 = 118 people
Prob(someone who smokes) = 118/416 = 0.2837
So required probability = 0.2837 + 0.2212 = 0.505 (answer)
If x=3
(1/3)y2+12=15
(1/3)y2=15-12
(1/3)y2=3
y2=3*3
y2=9
y=3
A centimetre is the most appropriate unit
