Explain how to determine that you have constructed an accurate copy of an angle

1 answer:

5 0

You have determined that you have constructed an accurate copy of an angle because if you just draw a ray, and measure the angle of the original angle, use that same compass setting and put it on the vertex of the ray that you just drew. Make an arc that intersects the ray. At that intersection point that you just made, draw another arc with that same compass setting, through the other arc, making intersecting lines. At that final intersection point, that's where you draw your line through. Now you have constructed an accurate copy of an acute angle.

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The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

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The possible next steps are:

1. Expand the equation as follows

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2. Express x^2 -16 as a difference of two squares as follows

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However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$