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iren [92.7K]
3 years ago
12

(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is

the value of x?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

x=10

Step-by-step explanation:

Supplementary angles are angles equal to 180°.

Therefore:

4(2x+9)+2(4x-8)=180

Now that we have our equation, let's distribute the 4 and the 2 into the parentheses they are next to:

8x+36+8x-16=180

Combine like terms:

16x+20=180

Subtract 20 from both sides of the equation:

16x=160

Divide by the coefficient of x, which is 16:

x=10

~

Check your work by substituting 10 into one of the equations above:

8(10)+36+8(10)-16=180

80+36+80-16=180

180=180

It's correct!

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Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})

This gives

f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})

Evaluate the products

f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})

Evaluate the like terms

f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

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7 0
1 year ago
Solve for x. 8/9x=32
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Answer:

0.44444444444

Step-by-step explanation:

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3 years ago
Which list of numbers is ordered from least to greatest? A. 634,6.57,−6.53,−614 B. −6.53,−614,6.57,634 C. 634,6.57,−614,−6.53 D.
marusya05 [52]

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle
ValentinkaMS [17]

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

4 0
3 years ago
. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tourname
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Answer:

330 day passes, 367 tournament passes

Step-by-step explanation:

5 0
2 years ago
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