Match each statement (term) with its value in relation to 0 (definition)

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

Concept: Mathematical Comprehensive

General notes:

When it says below, under, negative, owes, then that indicates a negative quantity.
If it say over, altitude, height, then that indicates a positive integer.

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Totally blanking on how medians work

Elis [28]

<h3>Answer: FC = 16</h3>

===============================================

The three medians of this triangle are:

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

5 0

3 years ago

The slope of mn is -3 Which segment are parallel to mn Select each correct answer.

Sati [7]

keeping in mind that any line parallel to MN will have the same exact slope as MN's.

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-6}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}\implies -3~~\checkmark \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-1}{5-8}\implies \cfrac{9}{-3}\implies \cfrac{3}{-1}\implies -3~~\checkmark$