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grigory [225]
2 years ago
15

What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to fi

nish.
1.Construct a line perpendicular to line m through point F. Label a point on this line as point G.
2.Use a straightedge to draw line m and label a point on the line as point F.
3.Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK .
4.Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
5.With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.
6.Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.

Mathematics
2 answers:
Mazyrski [523]2 years ago
5 0

For those of you who are doin the test rn here are the answers to all of them. Hope this helps! ;) I did the quiz

Aleks04 [339]2 years ago
3 0
<span>The steps for using a compass and straightedge to construct a square are given as follows:

1. </span><span>Use a straightedge to draw line m and label a point on the line as point F

2. </span><span>Construct a line perpendicular to line m through point F. Label a point on this line as point G.

3. </span><span>With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.

4. </span><span>Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.

5. </span><span>Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.

6. </span><span>Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
</span>
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Answer:

Your solution is (-10, 6).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-5x + y = 56

x + y = -4

Let's change the second equation into one with one variable on each side.

y = -x - 4

Now, plug this into your first equation.

-5x + (-x - 4) = 56

Distribute the + sign.

-5x - x - 4 = 56

Combine the like terms.

-6x - 4 = 56

-6x = 60

Isolate x by dividing both sides by -6.

x = -10

Now plug this back into either equation.

-10 + y = -4

Add 10 to both sides to find y.

y = 6

Your solution is (-10, 6).

Check this by plugging in these values into the equation you have not checked yet.

-5(-10) + (6) = 56

50 + 6 = 56

56 = 56

Your solution is correct.

Hope this helps!

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