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:
1) 45 degrees
2) 75 degrees
3) 37 degrees
4) 43 degrees
5) 137 degrees
Step-by-step explanation:
1) Angle 1 is equal to the 45 degree angle above it, so we know it is 45 degrees
2) All triangles are 180 degrees. Angle 2 = 180 - 60 - Angle 1 = 180 - 60 - 45 = 75
3) These three angles = 180 degrees. 180 - 68 - Angle 2 = 180 - 68 - 75 = 37
4) All triangles are 180 degrees. 180 - 100 - Angle 3 = 180 - 100 - 37 = 43
5) 180 - Angle 4 = 180 - 43 = 137
Answer:
30.6 ounces of water
Step-by-step explanation:
Since on bottle holds 5.1 ounces, in order to find the amount of water in 6, you must take 5.1 and multiply it by 6 which gives you your final answer of 30.6 ounces. Hope this helps!
Answer:
<em>curved</em><em> </em><em>surface</em><em> </em><em>area</em><em> </em><em>of </em><em>half</em><em> </em><em>cylinder</em><em> </em><em>is</em>
Step-by-step explanation:
πr2h
2.8 ! the two is the whole and the fraction is the 8 after the decimal ! happy learning!
