The construction of copying <QPR is started below. The next step is to set the width of the compass of the length of AB. How does this step ensure that the new angle will be congruent to the original angle?

PA = ST, PB = SU, AB = TU ⇒ ∠P = ∠Q

Step-by-step explanation:

Point S is drawn to mimic point P.

The length of PA is measured and copied to point S so PA = ST.

The length of PB is measured and copied to point U so PB = SU.

Now we know that AB = SU.

Since all of the sides are congruent (if we were to draw a triangle), we can state that the triangles are congruent by Side-Side-Side Congruency Theorem.  Thus, ∠P ≡ ∠S  by CPCTC Theorem.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150