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Nookie1986 [14]
3 years ago
5

5. Solve for x. I keep getting different answers ranging from 35 to 56

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer: 21

<u>Step-by-step explanation:</u>

x is a tangent line, 56-7 is a secant line.  The length is equal to the outside segment times the entire segment. <em>Notice that the length of the outside of the segment is equal to the entire segment for the tangent line.</em>

x^2=7(56+7)\\\\x^2=7(63)\\\\x=\sqrt{7(63)}\\\\x=\sqrt{7(7\cdot 9)}\\\\x=7\cdot 3\\\\\large\boxed{x=21}

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Step-by-step explanation:

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2 years ago
sara has two bags of nuts one with 60% peanuts and the other with 28% peanuts. to make a ten pound bag of 45% peanuts how much o
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SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.

                    prove = How much the peanut is used to make 10 pound of 45%

                                 peanut.

TO PROOF -  Assume that

                    let  x be the  value of the peanut  used by sara  from the bag

                  60% peanut bag.

                  let ( 10 - x)  be the value of peanut used by sara from 28% peanut

                  bag.

                as given the bag become  of  the 10 pound which contain

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                  thus we have

               0.60x + 0.28 ( 10 - x ) = 0.45 (10)        

                0.60x + 0.28 ( 10 -x ) =   4.5

               0.60x  +   2.8 -  0.28 x = 4.5

              0.60x - 0.28x = 4.5 - 2.8

            0.32x  = 1.7

             x =  5.3125   peanut is taken from the 60% bag.

            & 4.6875 peanut from the 28% bag.                                              

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