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Illusion [34]
3 years ago
10

NL←→ is tangent to circle M at point N. What is the measure of ∠MLN?

Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0
Hi there!

We know that angle MNL is 90 degrees, because a tangent is perpendicular to the radius. Therefore, all we need to do is set up a simple equation.

WORK:
180 = 90 + 71 + x
x = 19

ANSWER:
Angle MLN = 19 degrees

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
nekit [7.7K]3 years ago
6 0
<span>NL←→ is tangent to circle M at point N
NL is perpendicular to MN
so
</span> ∠<span>NML = 90

</span><span> ∠MLN = 180 - 90 - 71
</span> ∠MLN = 19
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3 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
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Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

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Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
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