<u>The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.</u>
Answer:
<em>x = 10</em>
Step-by-step explanation:
<u>Internal Angles of a Triangle</u>
The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:
48 - x + 9x - 38 + 90 = 180
Simplifying:
100 + 8x = 180
Subtracting 100:
8x = 180 - 100 = 80
x = 80/8
x = 10
Point-slope form: y - y₁ = m(x - x₁)
[m is the slope, x₁ and y₁ ---> (x₁, y₁) is the point]
Since you know:
m = 5
(2, 6) = (x₁, y₁) Substitute/plug in the values into the equation
y - y₁ = m(x - x₁)
y - 6 = 5(x - 2) The 1st option is your answer
Answer:
she will have 12 ounces of chocolate left
Step-by-step explanation:
The mean absolute deviation is 10.52.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.
MAD =1/n ∑ l x - m(x) l
Where:
n = total numbers in the data set
x = number
m(x) - median
The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2
Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2) + (1 - 10.2) + (2 - 10.2) + (4 - 10.2) + (5 - 10.2) + (6 - 10.2) + (7 - 10.2) + (3 - 10.2) = 105.2
Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52
To learn more about mean absolute deviation, please check: brainly.com/question/27365177
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Answer:
The perpendicular slope would be -1/5.
Step-by-step explanation:
This is because we can locate the slope of the original line as 5 (the number just outside of the x-coordinate parenthesis.
Then we know that perpendicular lines have opposite and reciprocal slopes. So we take the 5 and change the sign (-5), then we flip it (-1/5).
