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Sonbull [250]
3 years ago
8

Point d is the centroid of triangle abc use the given information to find x. GD=2x-8 and GC=3x+3

Mathematics
2 answers:
BigorU [14]3 years ago
5 0
The centroid D cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.

Therefore: |DC| = 2|GD|
|GC| = |GD| + |DC| = |GD| + 2|GD| = 3|GD|

so... we have:

3x + 3 = 3(2x-8)
3x + 3 = 3 × 2x - 3 × 8
3x + 3 = 6x - 24    |<em>subtract 3 from both sides</em>
3x = 6x -27      |<em>subtract 6x from both sides</em>
-3x = -27    |<em>divide both sides by (-3)</em>

x = 9


sertanlavr [38]3 years ago
4 0
Answer and workings in the attachments below.

x=9.

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Answer:

<h3>Rational number</h3>

Step-by-step explanation:

A rational number are number that can be written as the ratio of two integers. Integers are whole numbers and they can be positive or negative including zero.

Looking at the value 5.371, we can write it in fraction form as shown;

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Since 5.371  is equivalent to 5371/1000 and <em>5371/1000 is a ratio of two integers 5371 and 1000 therefore we can conclude that 5.731 is a rational number</em>

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3 years ago
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How Can I Figure Out This Equation?
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Hope this helps!

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