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zubka84 [21]
3 years ago
7

How do I find the answers to 17, 19, and 20?

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

... CG = 6 2/3

_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

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Hunter-Best [27]

Answer: don't know sorry

Step-by-step explanation:

5 0
2 years ago
Three consecutive integers whose sum is -147
suter [353]

Step-by-step explanation:

Let the first integer be x

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5 0
3 years ago
Please help
Alenkasestr [34]

Answer:

Domain: {-4, -2, 1, 2, 4}

Range: {-4, -2, -1, 1, 4}

The relation is a function.

Step-by-step explanation:

A <u>relation</u> is any set of ordered pairs, which can be thought of as (input, output).

A function is a <em>relation</em> in which no two ordered pairs have the same first component and different second components.

Remember that a function can only take on <u>one output for each input</u>. We cannot plug in a value and get out two values.

The Vertical Line Test allows us to know whether or not a graph is actually a function.  If a vertical line intersects the graph in all places <u><em>at exactly one point</em></u>, then the relation is a function.

I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.

The <u><em>domain</em></u> of the given relation is the set of x-values, while the <em><u>range</u></em> is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.

Relation:  {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.

Domain: {-4, -2, 1, 2, 4}

Range: {-4, -2, -1, 1, 4}

Please mark my answers as the Brainliest if you find my explanations helpful :)

4 0
3 years ago
The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find width.
Alla [95]
<span>width = x
</span><span>length = 6x + 8 

x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m  </span>← width
5 0
3 years ago
Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?
nekit [7.7K]

Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

<em><u>Arranging </u></em><em><u>like </u></em><em><u>terms </u></em>

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

<h3>5 ( 20x - 21y + 14) </h3>
5 0
1 year ago
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