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3 years ago

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Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer:

1 < x < 12

Step-by-step explanation:

The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.

Thus,

33 > 3x - 3

Solve for x

33 + 3 > 3x - 3 + 3

36 > 3x

36/3 > 3x/3

12 > x

To ensure the angle is not 0 or negative, thus:

3x - 3 > 0

Solve for x

3x - 3 + 3 > 0 + 3

3x > 3

3x/3 > 3/3

x > 1

Possible range of values of x would be:

1 < x < 12

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Answer:

5 weeks

$175

Step-by-step explanation:

Bill owes his mother $300 and plans to pay her $25 every week.

Therefore, after w weeks he has to give her mother more C = 300 - 25w, amount of money.

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Therefore, after w weeks he has to give her mother more C = 550 - 75w, amount of money.

If after w weeks they both will owe their mother the same amount of money, then

300 - 25w = 550 - 75w

⇒ w = 5 weeks. (Answer)

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