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givi [52]
3 years ago
15

In triangle DEF, CG = (x + 5) units and DG = (3x – 2).

Mathematics
2 answers:
zmey [24]3 years ago
8 0
<span>In triangle DEF, CG = (x + 5) units and DG = (3x – 2).



What is DG?


___34__ units</span>
Otrada [13]3 years ago
8 0

Answer:  

34 units.

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the length of segment DG,

We can see that point g is the centroid of our given triangle as it is the point, where medians of our given triangle are intersecting.

Since we know that centroid of a triangle divides its medians in 2:1 ratio, so we can set an equation for DG and CG as:

2*CG=DG

Now let us solve for x.

2(x+5)=3x-2

2x+10=3x-2

2x-2x+10=3x-2x-2

10=x-2

10+2=x-2+2

12=x

Upon substituting x=12 in the expression for the length of segment DG we will get,

DG=3x-2

DG=3*12-2

DG=36-2

DG=34

Therefore, the length of segment DG is 34 units.

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Answer:

There are 9 ounces of peanuts

Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|

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sesenic [268]

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(9.69:9.58-1)*100 =

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3 years ago
Pilar says that two linear systems below have the same solution. (see picture) Is she correct? Explain.
wariber [46]
The first set:

3x + 2y = 2  ---1)
5x + 4y = 6  ---2)

From 1), multiply all by 2, 6x + 4y = 4  ---3)

3) - 2),

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x = 2

Sub in x = 2 into 1),

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(2 , -2)


The second set:

3x + 2y = 2  ---1)
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From 1), multiply all by 4, 12x + 8y = 8 ---3)

3) - 2),

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12x + 8y - 11x - 8y = -2
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From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.

Hope this helped! Ask me if there's any working from here that you don't understand! :)

5 0
3 years ago
Read 2 more answers
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sergejj [24]

Answer:

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Step-by-step explanation:

<em>Perimeter of triangle = sum of all sides</em>

Side 1: 14 - 2x

Side 2: 3x - 1

Side 3: 2x + 1

<em>Perimeter= side 1 + side 2 + side 3</em>

26 = 14 - 2x + 3x - 1 + 2x + 1

26 = 14 - 1 + 1 - 2x + 3x + 2x

26 = 14 + 3x

3x = 12

x = 12/3

x = 4

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Artyom0805 [142]

Answer:

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