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3 years ago

13

Last year 64 new houses were built in the neighborhood so far this year 5/8 of them have been sold. How many new houses have bee

n sold this year? Write your answer in simplest form.

1 answer:

Mariana [72]3 years ago

7 0

5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

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Answer:

15<em>y</em> = -28 <em>x</em> + 205.

Step-by-step explanation:

Slope intercept form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

<em> y = mx + c</em>

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15<em>y</em> = -28 <em>x</em> + 205.

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In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.

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Read 2 more answers

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patriot [66]

If 4600 corresponds with 100, multiply 4600 by .09 and you get 414.

Also:

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