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:
Hey! Here is your answer simplified!
Step-by-step explanation:
4
x
3
−
4
x
2
−
4
x
−
8
Hope this helps! ❤
When ever the problem says is, the next number after that is going to be the answer to the equation. So now you have =5.
Next it say two more which means adding so now we have, +2=5
Now we have the product of a number and 8. This means that the number and 8 equal the product. Now we know that an answer that is a product is a multiplication problem. That means that you have to multiply 8 and the number.
That leaves us with the answer, n•8+2=5
For your problem the second angle is the correct angle
Answer:
99.7% data lies between 13 to 43
Step-by-step explanation:
Mean: 
Standard deviation : 
68% of data lies between 
to 
95% of the data lies between 
to 
99.7% data lies between 
to 
We are supposed to find 99.7 of the data will lie between which values
99.7% data lies between 
to 
99.7% data lies between 13 to 43
Hence 99.7% data lies between 13 to 43
