A student is constructing a pair of perpendicular lines using a compass and ruler. Here are her first steps:

1 answer:

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The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

<h3>Steps in constructing perpendicular lines</h3>

Place your compass on the given point
Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc
From each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.
Use your ruler to join the given point to the point where the arcs intersect.
Use your compass and ruler to draw a perpendicular line from each given point to the line segment

From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect

Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

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The graph below shows the solution set of which inequality ?

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Answer:

E. $|x| < 100$ .

Step-by-step explanation:

The solution of an absolute value function of the form $|x| < a$ represents the set of values of $x$ so that $-a < x < a$ . The solution must be at least $|x| < 7$ . Hence, the right choice is $|x| < 100$ .