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alina1380 [7]
2 years ago
6

Match each compound inequality to the graph of its solutions on the number line.

Mathematics
1 answer:
Basile [38]2 years ago
5 0
The answers for the exercise shown in the figure attached above, are shown 

 -The Compound inequality for the solution 1 is:
 -2(x+1)≥-4 or 4x-7≥5
 x≥1
 x≥3
 -The Compound inequality for the solution 2 is:
 -6≤2x-8≤-2
 1≤x≤3
 -The Compound inequality for the solution 3 is:
 3x-4≥5 or -5x+17≤12
 x≥3
 x<1
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I need helpppp (10 points )
irga5000 [103]

Answer:  The flagpole is about 22.3 feet tall.

This is roughly the size of a two story building, assuming each floor is 10 feet or so.

Since this height is under 25 ft, this flagpole is in compliance with the regulation.

=====================================================

Work Shown:

The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.

The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.

Use the tangent rule to connect the opposite and adjacent sides.

Solve for x.

tan(angle) = opposite/adjacent

tan(25) = (x-5.5)/36

36*tan(25) = x-5.5

x-5.5 = 36*tan(25)

x = 36*tan(25)+5.5

x = 22.28707569358

x = 22.3 ft is the approximate height of the flagpole

Make sure your calculator is in degree mode.

The height is not over 25 ft, so this flagpole meets the requirements.

4 0
2 years ago
What is the measure of
posledela
The triangle is isosceles so m∠A and m∠C are the same. 

So to find ∠B, we do 74 + 74 + b = 180

148 + b = 180
b = 180 - 148
b = 32

Answer B is the right choice. 
3 0
3 years ago
If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining three angles.
Anna007 [38]

Answer:

The remaining 3 angles are 300 degrees

Step-by-step explanation:

The sum of the interior angles of a parallelogram is 360 degrees

We know one angle is 60

360 -60 = 300

The remaining 3 angles are 300 degrees

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Step-by-step explanation: is this what you were looking for

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