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Viefleur [7K]
3 years ago
15

Find the value of x - The answer is 45, but I need to show my work!!! THANK YOU

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

x = 45°

Step-by-step explanation:

The total measurement is 360° (the measurement of a circle).

Set the equation. Set all measurements equal to 360:

228 + (x + 29) + (x + 13) = 360

Combine like terms:

228 + 29 + 13 + 2x = 360

2x + 270 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:

2x + 270 (-270) = 360 (-270)

2x = 360 - 270

2x = 90

Next, divide 2 from both sides of the equation:

(2x)/2 = (90)/2

x = 90/2

x = 45

x = 45° is your answer.

~

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Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
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Answer:

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Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
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{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

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4 years ago
Terryn has 25 one-dollar bills and wants to give an even amount to each of his two children. How many bills do each of Terryn's
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Answer:

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Dollars left over: 1 dollar

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25/2=12.5

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