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Murrr4er [49]
1 year ago
10

Given: ABCD is a parallelogram and A ABC = ADCB.

Mathematics
1 answer:
Cloud [144]1 year ago
6 0

Answer:

Step-by-step explanation:

Angle ABC is a right angle because all interior angles of a rectangle are right angles.

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Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

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The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

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OR

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- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

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