Here, sum of all the angles would be equal to 360.
We can see there are two right angles (=90)
So, 90 + 90 + x + 60 = 360
240 + x = 360
x = 360 - 240
x = 120
In short, Your Answer would be 120
Hope this helps!
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =

Check your work by plugging in

for x and then

.

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So,
x is
and 
.
Okay to find what 18+?=45 just subtract 18 from 45. ANSWER: 27
Answer:
The <em>p</em>-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4
The information provided is:
<em>n</em> = 9
<em>s</em> = 3
Compute the Chi-square test statistic as follows:


The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the <em>p</em>-value as follows:

*Use a Chi-square table.
Thus, the <em>p</em>-value is 0.809.