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Licemer1 [7]
3 years ago
5

In AABC, point D is the centroid, and AD= 12. Find AG

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Answer:

AG = 18

Step-by-step explanation:

The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.

Lets make x represent AG.

So, 2/3 of x is 12

or

\frac{2}{3}x = 12

Multiply both sides by the reciprocal of \frac{2}{3} , which is \frac{3}{2}.

( \frac{3}{2}) \frac{2}{3}x = 12 (\frac{3}{2})  (x is left alone, the fractions = 1 when multiplied)

x = 12 (\frac{3}{2})         ( 12 times 3 = 36, divided by 2 = 18)    

x = 18

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A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Katen [24]

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

5 0
3 years ago
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Delicious77 [7]
I think it would be 4 hours sorry if I'm wrong
7 0
3 years ago
Explain why graphs show the first quadrant but omit the other three quadrants.
vampirchik [111]
It's because if you are only working with positives, then the first quadrant is the only one that can help you, if you draw the other 3, then you just take up too much space to represent something you don't even need to show
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4 years ago
What is <br><br> 2 1/8 - 1 7/8=?
deff fn [24]

Answer:

1/4

Step-by-step explanation:

2 1/8 - 1 7/8

Borrow 1 from the 2 in the form of 8/8

1 + 8/8+1/8 - 1 7/8

1 9/8 - 1 7/8

2/8

Simplify

1/4

7 0
4 years ago
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In circle O, central angle COD has a measure of 48. Find the measure of arc BC. In your final answer, include all your work ​
grandymaker [24]

Answer:

Measure of arc BC = 132°

Step-by-step explanation:

Measure of the central angle COD = 48°

Therefore, measure of arc AB = 48°

Since, segment AC is a diameter and central angle for a diameter is 180°.

Measure of major arc ABC = 180°

measure of arc AB + measure of arc BC = 180°

48° + measure of arc BC = 180°

Measure of arc BC = 180° - 48°

                                = 132°

5 0
3 years ago
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