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irina1246 [14]
2 years ago
9

2x +5 > -1 on the number line​

Mathematics
1 answer:
Naya [18.7K]2 years ago
7 0

Answer:

Below

Step-by-step explanation:

2x + 5 > -1

Treat the equality sign (ex. < >) as the costumary equal sign (=).

2x + 5 + (-5) > -1 + (-5)  ---- -5 will cancel out the 5 on the left

2x/2 > -6/2  ------ divide by 2 to single out the x

x > -3

Remember to draw an open dot. Draw an arrow from -3 to the extreme right.

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Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

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sin 80 degrees = ---------------

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and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

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