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3 years ago

Use the figure below to Find midsegment please help

Mathematics

1 answer:

serious [3.7K]3 years ago

8 0

Answer:

38 units.

Step-by-step explanation:

4x + 6 = $\frac{1}{2}(4x + 44)$ {midpoint theorem}

4x + 6 = $\frac{1}{2}*4x + \frac{1}{2}*44$

4x + 6 = 2x + 22

4x -2x + 6 = 22

2x + 6 = 22

2x = 22 -6

2x = 16

x = 16/2

x = 8

Length of midsegment = 4x + 6 = 4*8 + 6

= 32 + 6

= 38

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3 years ago

The boys had 5 4 6 gallons of water to share throughout the day. James drank 1 1 3 5 6 1 2 gallons and Simon drank 2 3 gallon. H

dsp73

Answer:

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Step-by-step explanation:

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Volume drunk by Simon = $\frac{2}{3}$

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4 years ago

Read 2 more answers

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

weeeeeb [17]

Answer:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

$y-2=\frac{-4}{5} (x+3)$

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

$y=\frac{-4}{5} x-\frac{2}{5}$

Thus, our two equations are:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

8 0

3 years ago