Answer:
x = 21°
Step-by-step explanation:
Complementary angles have a sum of 90°. If ∠A + ∠B = 90°, we know that
x - 6° + 3x = 90°.
4x - 6° = 90°
4x = 96°
x = 24°
Hope this helps!
Answer:
D: All real numbers except x=-1 and x=1
Step-by-step explanation:
It's a three sided polygon; a flat shape with straight sides. And it's a figure formed by 3 segments connecting 3 non-colinear points
Answer:
Option A is the answer
Step-by-step explanation:
From the question we are told that
The mean of laborers is 3
The standard deviation is 1
The mean of white collar workers is 7
The standard deviation for white collar workers is 3.16
From this value given we can see that the white collar worker is more dissatisfied than the laborers
Also the from the value of standard deviation of the laborers we see that the deviation from the mean is 1 which means that they are equally dissatisfied
But in the case of white collar workers we see deviation from the mean is very high which implies that the dissatisfaction varies more with white collar workers
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.
The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109.

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles.
(10x+6) is angle A.
(13x-2) is angle B.
(8x-1) is angle C.
and 109 (the one we solved) is angle D.
We know that the
total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values.

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values.

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x.

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C.

You get 31x. To get what x is, you divide 248 by 31.

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas.




Check your work by plugging your answers in and seeing if they add up to 360.

Which they should:)
So...
angle A= 86
angle B=102
angle C=63
angle D=109
and x=8
Hope this helped!!!