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a_sh-v [17]
3 years ago
15

Which of the following is a result of the construction of a median of a triangle?

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

9514 1404 393

Answer:

  A side of the triangle is bisected

Step-by-step explanation:

The median of a triangle connects a vertex to the midpoint of the opposite side. That is, it bisects the side it meets:

  A side of the triangle is bisected

_____

<em>Comment on other choices</em>

A median will be an angle bisector only if the triangle is isosceles. Likewise, it will only be perpendicular to the side if the triangle is isosceles.

There are several points called "center" of a triangle, including the centroid (on the median), the incenter, the circumcenter, and the orthocenter.

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Answer:

40% and 4/10

Step-by-step explanation:

If you convert them into decimals, they will both give the same decimals which gives 0.4

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Write the equation of a line that is parallel to y=6x and that passes through the point (-7,1)
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Answer:

so y=6x+43

Step-by-step explanation:

Slope is 6, so using y=mx+b

1=6(-7)+b, b = 43

so y=6x+43

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How old am I if 500 reduced by 2 Times my age is 250​
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Step-by-step explanation:


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The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
ryzh [129]

Given:

The bases of a trapezoid lie on the lines

y=2x+7

y=2x-5

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

On comparing y=2x+7 with slope intercept form, we get

m_1=2,b_1=7

On comparing y=2x-5 with slope intercept form, we get

m_2=2,b_2=-5

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

m=m_1=m_2=2

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

b=\dfrac{b_1+b_2}{2}

b=\dfrac{7-5}{2}

b=\dfrac{2}{2}

b=1

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

y=2x+1

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