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Xelga [282]
3 years ago
13

In the diagram, GB = 2x + 3..

Mathematics
2 answers:
Sauron [17]3 years ago
8 0

Answer:

it's 15 on edge

Step-by-step explanation:

basically, you want to solve for x and substitute it for 2x+3,

Solving for x is

5x=2+18

3x=18

x=6

now getting GB

2(6)+3

12+3

15

Hope that helps

True [87]3 years ago
5 0

Answer:

<h2>10 units</h2>

Step-by-step explanation:

It's important to know that the centroid is always two-thirds of the median. Which means

AG=\frac{2}{3}FA\\ x+9=\frac{2}{3}(5x+x+9)\\ x+9=\frac{2}{3}(6x+9) \\x+9=4x+6\\9-6=4x-x\\3x=3\\x=1

Which means AG=x+9=1+9=10.

But, the centroid has always the same distance from each vertex, which means

AG=BG=10

Therefore, BG is 10 units long.

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Answer:

340 units2

Step-by-step explanation:

draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.

The triangle has base=3, angle 60 degrees and angle of 90 degrees.

Finding third angle:

180-60-90= 30

finding other two sides of triangle by using law of sines:

a/sinA=b/sinB

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b=3(0.866)/0.5

b=5.2

b is the perpendicular line we drew

a/sinA=b/sinB

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c=3sin90/sin30

c=3(1)/0.5

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c is the hypotenuse of the triangle

Now Finding the perimeter of base:

The perimeter of the base=sum of the lengths of sides.

p=6+9+6+5.2

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area of trapezoid:

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total surface area of prism:

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where h is height of prism = 10

TSA= 26.2(10) + 2(39)

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Answer:

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Step-by-step explanation:

The formula for slope is m=\frac{y2-y1}{x2-x1}

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Answer:

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Answer:

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