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  

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

3

step-by-step explanation: