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dezoksy [38]
3 years ago
11

Need help gotta turn in at midnight​

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

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Someone please help. which triangles are similar to ABC? triangle A, triangle B, both or neither?
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Mya deposits $5,000 in a savings account that pays 2.9% interest, compounded semiannually, what is her balance after six months?
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3 years ago
line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through t
castortr0y [4]

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

<h3><u>Solution:</u></h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

<em><u>Let us first find slope of the line "m"</u></em>

Given two points are (-3, 4) and (1, 0)

m = \frac{y_2 - y_1}{x_2 - x_1}

\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)

m=\frac{0-4}{1-(-3)}=-1

Thus slope of line m is -1

We know that <em>product of slope of given line and perpendicular line are always -1</em>

So, we get

\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x - x_1)

(x_1, y_1) = (-2, 6) and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

7 0
3 years ago
A distribution has the five-number summary shown below. What is the
Irina-Kira [14]

Answer:

The interquartile range(IQR) is <u>31</u>.

Step-by-step explanation:

Given:

A distribution has the five-number summary shown below:

24, 36, 42, 57, 65.

Now, to find the interquartile range (IQR).

So, to get the IQR we need to find the quartile 1 and quartile 3:

As, 42 is the median.

Quartile 1 is the average of first half.

<u>24, 36</u>, 42, 57, 65.

Q1 = \frac{24+36}{2}

Q1 = \frac{60}{2}

Q1 = 30

Quartile 3 is the average of last half.

24, 36, 42, <u>57, 65</u>.

Q3 = \frac{57+65}{2}

Q3 = \frac{122}{2}

Q3 = 61

Thus, by putting the formula we get IQR:

IQR = Q3 - Q1.

IQR=61-30

IQR=31.

Therefore, the interquartile range(IQR) is 31.

4 0
3 years ago
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