In circle M shown, diameter SW intersects chord VT at R such that m arc VS = 146 degrees and m arc ST = 64 degrees. Which of the following is the measure of angle VRW
(1) 37

(2) 44

(3) 49

(4) 52

Please provide an explanation

(3) 49

Step-by-step explanation:

The circle diagram is attached below. angle mVS = 146°

and  angle mST =  64°.

mWT = 360 -64 - 146 = 150 (angle at a point)

∠ VWS = 73° = mVS / 2

MVW = 180 - 146 = 34 (angle in a straight line)

MVW = 180 -73 - 34 = 73° (angle in a triangle)

∠TMR = 180 - 64 = 116° (angle on a straight line)

∠VMT = 116 + 34 = 150°

∠ MVT = ∠ MTV (base angles of an isosceles triangle)

150 +2∠ mTV = 180

∠ MTV = 15°

∠RVW = 73 - 15 = 58°

∠RVW + ∠ VWS  + ∠VRW = 180

∠VRW  = 180 - 58 - 73 = 49

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

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: