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Morgarella [4.7K]
3 years ago
6

The inequality 6 - 2/3x < x - 9 is equivalent to

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

For this case we have the following inequality:

6- \frac {2} {3} x

We add\frac {2} {3} x to both sides of the inequality:

6

We add 9 to both sides of the inequality:

6 + 9

We multiply by 3 on both sides of the inequality:

15 * 3

We divide between 5 on both sides of the inequality:

\frac {45} {5}

Thus, the solution is given by all values of x greater than 9.

Answer:

x> 9 is equivalent to the given inequality.

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In ΔEFG, the measure of ∠G=90°, EF = 95 feet, and FG = 26 feet. Find the measure of ∠F to the nearest degree.
Firdavs [7]

Answer:

74.4°

Step-by-step explanation:

Given

  • ∠G=90° => ΔEFG is a right triangle
  • EF = 95 feet
  • FG = 26 feet

Use sine law to find ∠F

As we know:

Sin(GEF)/ GF = Sin(EGF)/EF

<=> Sin(GEF) / 26 = Sin(90)/95

<=>Sin(GEF) / 26 = 1/95

<=> Sin(GEF)  = 26/95

<=> ∠GEF ≈ 15.8°

=> ∠F = 180° - ∠G - ∠GEF

∠F = 180° - 90° - 15.8° = 74.4°

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3 years ago
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Black_prince [1.1K]

3,000 in.

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The dimensions on the sketch are 10 times less than the actual rug.


40 in., 7.5 in.


The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.

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The solution is X=10.

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