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3 years ago

If x and x/4 are a pair of supplementary angles find angles

1 answer:

5 0

$\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}$

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nevsk [136]

Answer:

x = 2 and x = 4

Step-by-step explanation:

The solution of the given equation is shown on the graph

There are two intercepts with coordinates of

(2, 2) and (4, -22)

The x-coordinates are

x= 2 and x= 4

Correct option is 3 or C.

7 0

4 years ago

Read 2 more answers

After completing the fraction 8 devided 1/6 Pastel found a quotient of

Rama09 [41]

The answer is 2 be 8/16 is 2

3 0

3 years ago

Jeff and Tim spent $4.59 on gumballs. How many pounds did they buy? Gumballs $ .51 per pound

Tcecarenko [31]

Answer: 9

Step-by-step explanation:

5 0

3 years ago

How to solve this question

VMariaS [17]

The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

 $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

5 0

3 years ago

Which statement is correct?

sladkih [1.3K]

Answer:

Step-by-step explanation:

A line that rises from left to right has a positive slope.

4 0

4 years ago

Read 2 more answers

If x and x/4 are a pair of supplementary angles find angles​

If x and x/4 are a pair of supplementary angles find angles