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stealth61 [152]
2 years ago
11

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

Mathematics
1 answer:
Dimas [21]2 years ago
5 0

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

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Agata [3.3K]

Answer:

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Step-by-step explanation:

The ordered pairs are affected by the y value. The X value stays the same since you didn't move the shape any to the right or left. The y values went down three on all of the points because you moved the whole shape down three spots.

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Answer:

3 1/3

Step-by-step explanation:

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3 years ago
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Vitek1552 [10]
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So you'll go from this 0.003045 to this 3.045 after this move.
 
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Therefore, 0.003045 = 3.045 \times 10^{-3}

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3 0
3 years ago
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Semmy [17]

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 + 4t

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3 years ago
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