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Sever21 [200]
3 years ago
15

someone thinks of a number when he multiplied his number by 5 and subtracts 16 from the result he gets the same answer as when h

e adds 10 to his number and multiplies that result by 3 finder the number hes thinking of
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
Let's call his secret number 'M' (for mystery-number).

multiplied it by 5 . . . 5M
subtracted 16 from the result . . . 5M - 16

adds 10 to the number . . . M + 10
multiplies that result by 3 . . .  3(M+10)

Both processes produce the same results:

                                             5M - 16  =  3 (M + 10)

Eliminate parentheses
on the right side:                 5M - 16  =  3M + 30

Subtract  3M 
from each side:                   2M - 16  =           30

Add  16  to each side:        2M          =           46

Divide each side by  2 :        M          =           23
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Complete Question

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a² + b² = c², which in this isosceles triangle becomes a² + a² = c². By combining like terms, 2a² = c². Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg?

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Answer:

c) determine the principal square root of both sides of the equation.

Step-by-step explanation:

Pythagoras Theorem for a right angled triangles states that:

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