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tangare [24]
3 years ago
8

Find FG. The diagram is not to scale.

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
7 0
FG = FE
3n - 4 = n + 8
2n = 12
  n = 6

FG = 3(6) - 4
FG = 18 - 4
FG = 14

answer
14
viva [34]3 years ago
6 0
We can use similar triangles.  Since we have two right triangles that have two equal angles, that means all 3 angles are congruent.  

Thus triangle EDF is similar to GDF.

Then we can set up a proportion.

(3n-4)/(n+8) = DF/DF   (where DF is the length of they hypotenuse, but since they are the same length, DF/DF is just equal to 1.)

So:  (3n-4)/(n+8) = 1

Now just solve:  3n - 4 = n + 8

2n = 12

n = 6

Therefore FG = 3(6) - 4 = 18 - 4 = 14

FG = 14
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olya-2409 [2.1K]
Use the formula of the present value of an annuity ordinary which is
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K compounded monthly 12
N time 5years
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5 0
3 years ago
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Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

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3 years ago
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djverab [1.8K]

Answer:

Step-by-step explanation:

2x + 2 -3x -15 > 0

-x-13 > 0

-x > 13

Answer: x < -13

8 0
3 years ago
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noname [10]

A equation of a linear function in a standard form:

Ax + By = C

2y-\dfrac{x}{6}-4=0\ \ \ \ |\cdot(-6)\\\\-12y+x+24=0\ \ \ \ |-24\\\\-12y+x=-24\\\\\boxed{x-12y=-24}

<h3>Answer: YES. It's a linear function.</h3>
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