Answer:
∠ LMP = 77° , ∠ NMP = 103°
Step-by-step explanation:
The 2 angles on the straight line sum to 180° , that is
∠ LMP + ∠ NMP = 180 , substitute values
- 16x + 13 - 20x + 23 = 180 , that is
- 36x + 36 = 180 ( subtract 36 from both sides )
- 36x = 144 ( divide both sides by - 36 )
x = - 4
Then
∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°
∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°
Answer:
107
Step-by-step explanation:
We first need to input the values of the variables.
7 + 2 x 5^2
7+10^2
7+100 = 107
The weight of relish prepared after the evaporation of water is 2,226.02 pounds
<h3>Percentage</h3>
- pickles = 1000 pounds
- onions = 500 pounds
- sugar = 900 pounds
- salt brine = 75 pounds
- spices = 5 pounds
Total = 1000 + 500 + 900 + 75 + 5
= 2,480 pounds
pickles are 92% water
= 92/100 × 1000
= 920 pounds
onions are 85% water
= 85/100 × 500
= 425 pounds
salt brine is 88% water
= 88/100 × 75 pounds
= 66 pounds
Total water in the mixture = 920 pounds + 425 pounds + 66 pounds
= 1,411 pounds
- Percentage of water evaporated = 18%
Amount of water evaporated = 18/100 × 1,411 pounds
= 253.98 pounds
Weight of the relish prepared = 2,480 pounds - 253.98 pounds
= 2,226.02 pounds
Learn more about percentage:
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