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.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98