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4vir4ik [10]
2 years ago
10

HELP PLEASE I NEED HELp

Mathematics
1 answer:
lidiya [134]2 years ago
4 0

Answer:

Step-by-step explanation:

GH bisects ∠FGI

∠HGI = ∠HGF

4x - 14 = 3x - 3

4x = 3x - 3 + 14    {Add 14 to both sides}

4x = 3x + 11             {Subtract 3x from both sides}

4x - 3x = 11

x = 11

∠HGI = 4x - 14

         = 4*11 - 14

         = 44 - 14

         = 30°

∠FGI = 30 + 30

        = 60°

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How do you find the height of a triangle (to calculate area)?
Lilit [14]

Answer:

The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:

  • <u>Height of the triangle = 10.392</u>

And the area of the triangle is:

  • <u>Area of the triangle = 31.176 units^2</u>

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:

  • <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

  • (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
  • (adjacent leg)^2 = 12^2 - 6^2
  • (adjacent leg)^2 = 144 - 36
  • (adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

  • adjacent leg = \sqrt{108}
  • <u>adjacent leg = 10.392 approximately</u>.

Now, with these data, we can find the area of the triangle with the next formula:

  • Area of a triangle = (base * height) / 2
  • And we replace the measurements:
  • Area of a triangle = (6 * 10.392) / 2
  • <u>Area of a triangle = 31.176</u>

As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.

4 0
2 years ago
Julia and Anthony each ride their bicycles along a path to the park. The equations that represent their distances in miles from
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2.5 miles just took the test
6 0
3 years ago
Read 2 more answers
Table of values 3x+2y=24
Mekhanik [1.2K]

3
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Graph a dashed line, then shade the area above the boundary line since
y
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−
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4 0
3 years ago
The clock below shows time that lance got home from school. 3:32. What time did he get home A: seventeen minutes before three B:
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Answer:

If Lance got home from school at 3:32 p.m. A and B both represent:

A: seventeen minutes before 3 would be before 3 o'clock even happens

B: 28 minutes before 4 would make more sense, since 3:32 is before 4 o'clock

Lance got home 28 minutes before 4

Hope this helps ;)

5 0
3 years ago
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last ba
jarptica [38.1K]

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

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Quick steps: 21/3=7*2=14-8=6

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2 years ago
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