The measure of <ACD is 120. Find the measure of <ACB, <BCD, and <ACE. Explain how you found the measure of <ACE.

m∠ACB = 39°

m∠BCD = 81°

m∠ACE = 60°

Step-by-step explanation:

From the picture attached,

m∠ACD = 120°

Since, m∠ACD = m∠ACB + m∠BCD

x + (2x + 3) = 120°

3x + 3 = 120

3x = 117

x = 39

Therefore, m∠ACB = 39°

m∠BCD = (2x + 3) = 2(39) + 3

             = 81°

Since, m∠ACE +  m∠ACB + m∠BCD = 180° [Angles formed at a point on a straight line]

m∠ACE + 39 + 81 = 180

m∠ACE = 180 - 120

m∠ACE = 60°

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: