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Phoenix [80]
3 years ago
13

In the figure, lines l, m, and n are parallel. A classmate says you can use the corollary to the side-splitter theorem to find x

. explain your classmate's error

Mathematics
1 answer:
bulgar [2K]3 years ago
7 0
The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem. 

If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:

\frac{M1}{M2} =  \frac{N1}{N2}

However, none of this would help us solve for x using this theorem. 
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Step-by-step explanation:

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agasfer [191]

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

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8 0
3 years ago
Line AB contains points A(-6,1) and B(1,4).
Free_Kalibri [48]

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

y=mx+b

Where m is the slope andb is the y-intercept.

2- Based on the information given in the problem, the lines AB andCD are parallel, which means that both have the same slope. Therefore, you can calculate the slope of AB:

m=\frac{y2-y1}{x2-x1}

m=\frac{4-1}{1-(-6)}=\frac{3}{7}

3- Use the coordinates of the point D(7,2) to calculate the y-intercept:

2=\frac{3}{7}(7)+b

4. Solve for b:

b=2-3=-1

5. The equation of the line CD is:

y=\frac{3}{7}x-1

The answer is: y=\frac{3}{7}x-1

6 0
3 years ago
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows​
Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given: x_1=-7, y_1=25, x_2=-4, y_2=13

Putting values in formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

3 0
3 years ago
What are the coordinates of A’, the image of A(-7, 9), after a rotation of -180° about the origin?
Dmitry_Shevchenko [17]

Answer:

7,-9

Step-by-step explanation:

4 0
3 years ago
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