Answer:
x=17
Step-by-step explanation:
Since the triangles are congruent, the angles are equal
I≅ P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x= 68
Divide by 4
4x/4 = 68/4
x = 17
A line which represents the line of best fit is: C. Line B.
<h3>What is a line of best fit?</h3>
A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
<h3>The characteristics of a line of best fit.</h3>
In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
- The line should be very close to the data points as much as possible.
- The number of data points that are above the line should be equal to the number of data points that are below the line.
By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.
Read more on line of best fit here: brainly.com/question/12284501
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The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
<h3>What is the length of line segment?</h3>
Length of a line segment is the distance of both the ends of it.
Point m lies between points l and n on line segment l n .
- The space between l and m is 10x 8.
- The space between m and n is 5x -4.
The value of line segment LN is,
The sum of LM and LN is equal to the line segment LN. Thus,
Put this value of x in the equation of line segment LN,
Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
Learn more about the line segment here;
brainly.com/question/2437195
Because the cos theta < 0 then theta must be an obtuse angle
so a^2 + b^2 < a^2
C
Answer:
7 quarts
Step-by-step explanation:
you subtract the amount that the first aquarium can hold from the second amount
