Ln triangle PQR, angle P-Q=20 and angle Q-R=50, find the value of angle R

Step-by-step explanation:

The sum of measures of angles in triangle is always 180°:

P + Q + R = 180

Q - R = 50    ⇒   Q = 50 + R

P - Q = 20    ⇒   P = 20 + Q = 20 + 50 + R = 70 + R

so:

  P  +  Q  +  R  =  180

70 + R + 50 + R + R = 180

120 + 3R = 180

    3R = 180 - 120

    3R = 60

     R = 60:3

      R = 20  

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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