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loris [4]
3 years ago
9

Math help ohh yup #5 in the middle

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

m<7 = 49°

m<8 = 41°

m<9 = 49°

m<10 = 41°

Step-by-step explanation:

Given :

m<7 ≅ m<9

m<8 = 41°

m<7 = 90° - m<8 (complementary angles)

m<7 = 90° - 41° (substitution)

m<7 = 49°

m<9 = m<7 (m<7 ≅ m<9)

m<9 = 49° (substitution)

m<10 = 90 - m<9

m<10 = 90 - 49

m<10 = 41°

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3 years ago
In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Mad
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Answer:

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Answer:

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Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

                   mL total     *           % vinegar       =              % vinegar/mL

8%

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column.  We already know the middle column's entries from what we are given.  But remember that a percent needs to be expressed as a decimal:

                       mL total     *       % vinegar      =        % vinegar/mL

8%                                                 .08

13%                                                .13

total %                                  

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

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8%                                                   .08

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Since we are adding the different vinegars together to get the total, we can do that with the last column as well.  This is our equation:

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x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

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P.E.M.D.A.S
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3 years ago
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