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Y_Kistochka [10]
3 years ago
6

Please help, refer to picture

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

  99°

Step-by-step explanation:

∠7 and ∠8 are a linear pair, so are supplementary. Numbers are assumed to be degrees.

  ∠7 + ∠8 = 180

  2x+15 + 3x = 180 . . . . . substitute given values

  5x = 165 . . . . . . . . . . . . subtract 15, collect terms

  x = 33 . . . . . . . . . . . . . . . divide by the coefficient of x

  ∠8 = 3x = 3·33 = 99 . . . . . degrees

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Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

       If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

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Subtracting equation 2 from equation 1,

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y = -190/-2

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