make sure your calculator is in Radian mode.
Answer:
x = -1
Step-by-step explanation:
6x + 104 = 16x + 114
First subtract 104 from both sides
Now you have:
6x = 16x + 10
Subtract 16x from both sides
-10x = 10
Divide by -10 on both sides and you get your answer
x = -1
22 is an outlier in the given data set
Step-by-step explanation:
Given data set is:
7, 8, 9, 10, 10, 22
First of all, we have to defined an outlier.
An outlier is a thing that is far away from the main body.
The mathematical or statistical definition says:
"The value in the data set that is far away from the values in the data set is called outlier"
In the given data set,
The value 22 is an outlier, as all the other values are close to each other except 22
Hence,
22 is an outlier in the given data set
Keywords: Outlier, data set
Learn more about data set at:
#LearnwithBrainly
Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
The answer is
<span>–4, –2, and 6
proof
it is obvious jus t look where the graph intercepts the x axis</span>
