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3 years ago

If mLM=25 and mLL=25, find mLJKM 50 18 162 117

Mathematics

1 answer:

VikaD [51]3 years ago

4 0

Answer:

$\displaystyle m\angle JKM = 50$

Step-by-step explanation:

remember that,

if a side of a triangle expanded exterior so formed is equal to the sum of the two interior angles

so,

$\displaystyle m\angle JKM = 25 + 25$

simplify addition:

$\displaystyle m\angle JKM = 50$

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Nezavi [6.7K]

I think this is what you are looking for:

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3 years ago

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John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What

mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

⇒ $\frac{3}{100} * x$

= 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

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Sum of values of two alcohol solutions = Value of the final mixture

0.03x + 0.05y = 6 ml ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

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For easy interpretation, I will be setting up a table to capture all information given in the question.

Component Unit Value Quantity(ml) Value

3% of Alcohol solution 0.03 x 0.03x

8% of Alcohol solution 0.08 y 0.08y

Mixture of 100ml of 6% 0.06 100 6

x + y = 100 0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

0.03x + 0.05y = 6 ml ..........(1)

x + y = 100 ml ..........(2)

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

x = 100 - y ..........(3)

Substituting x = 100 - y from equation (3) into equation (1)

0.03(100 - y) + 0.05y = 6

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This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

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Answer:

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Answer:

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