Set up and solve an equation:

3(90-x) = (180-x). Then 270 - 3x = 180 - x, or 270 - 180 = 2x.
90 = 2x, so x = 45 deg.

Is this true? 3(90-45) = (180-45)? If so, x = 45 degrees is correct.

3 0

2 years ago

Raniyah lived in Spain and Colombia for a total of 12 months in order to learn Spanish. She learned an average of 104 words per

Nadya [2.5K]

Step-by-step explanation:

that means she spent 3months in Spain to learn Spanish while she spent 9months in colombia

7 0

3 years ago

5x3 + 14x2 + 9x <br> help

Cerrena [4.2K]

<h3>Answer: x(x+1)(5x+9) </h3>

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Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\$

Then use those two solutions to find the factorization

x = -1 or x = -9/5

x+1 = 0 or 5x = -9

x+1 = 0 or 5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

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Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0

2 years ago

Six teachers shared a box of paper equally. How many sheets of paper did each teacher get if 1,347 sheets of paper came in the b

tester [92]

Answer: 224.5

Step-by-step explanation:

The answer is 224.5 because 1347 divided by 6 is 224.5.

4 0

2 years ago