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Korolek [52]
3 years ago
9

Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line

is `1.5.` Do you agree with either of them? Explain.
Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

m = \frac{Rise}{Run}

Where

Rise = Vertical\ Distance

Run = Horizontal\ Distance

From the attachment, we have the following:

Triangle A

Rise = 6\ units

Run = 4\ units

So:

m = \frac{Rise}{Run}

m = \frac{6}{4}

<em>In this case, Mai is correct:</em>

Triangle B

Rise = 1.5\ units

Run = 1\ units

So:

m = \frac{Rise}{Run}

m = \frac{1.5}{1}

m = 1.5

<em>In this case, Elena is also correct:</em>

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you want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable preliminary estim
andrey2020 [161]

Answer:

The value is  n =2401

Step-by-step explanation:

From the question we are told that  

 The  margin of error is  E = 2%= 0.02

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

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Here we are going to assume that the sample proportion is  \^ p =  0.50

  Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5  )

=>    n =2401

 

7 0
2 years ago
One of two supplementary angles is five times the other. Find the angles. (Recall that supplementary angles are angles whose sum
UNO [17]
5x+x=180
6x=180
x=30
5(30)= 150
One angle is 30 degrees and the other is 150 degrees.
6 0
3 years ago
Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that pas
Ilya [14]
Parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 0}}\quad ,&{{ 0}})\quad &#10;%   (c,d)&#10;&({{ -2}}\quad ,&{{ -12}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

\bf \begin{array}{lllll}&#10;&x_1&y_1\\&#10;%   (a,b)&#10;&({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies 6&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5}  \right)&#10;\\\\\\&#10;y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5}&#10;\\\\\\&#10;y=6x-11
6 0
3 years ago
(EASY MULTIPLE CHOICE I BEG YOU)
iogann1982 [59]
1) its number 2. 30x^7y^4
8 0
2 years ago
Which descriptions can describe more than one triangle? check all that apply
babunello [35]

Answer:

Angle measurements of 35°, 35°, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

If you specify only the three angles, you can have an infinite number of similar triangles of different sizes.

A is wrong. There can be only one triangle in which all three side lengths are specified.

C is wrong. The angles do not add up to 180°.

5 0
3 years ago
Read 2 more answers
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