Can someone explain how to do this for me!

x = 90 degrees

Step-by-step explanation:

the above figure is of a circle, so the sum of the measures of angles will be 360 degrees.

measure of arc = measure of the angle inscribed by the arc

therefore, the measure of arc JK will also be x ( vertically opposite angles)

therefore, x + x + 30 + (2x - 30) = 360 (1)

therefore, 2x + 30 + 2x - 30 = 360

therefore, 4x = 360( as -30 and +30 will be cancelled)

therefore, x = 90 degrees

Cross correction:-

by putting in x = 90 in (1)

90 + 90 + 30 + 2*90 - 30 = 360

180 + 30 + 180 - 30 = 360

180 + 180 = 360

so, x= 90 degrees is verified.

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: