Zoe incurred $18.60 in tips and sales tax for her meal. The rate of sales tax stands at 11% while her tip amounted to 20%. (The tip does not include sales tax, and it is calculated on the dinner's price before tax.)
From the information provided, it's evident that both the tip and sales tax apply solely on the dinner cost. Thus, we have:-
Sales Tax = 11% of dinner cost
Tip = 20% of dinner cost
And Sales Tax + Tip = $18.60
Therefore, (20+11)% of dinner cost = 18.60
31% of dinner cost = 18.60
0.31 * dinner cost = 18.60
dinner cost = 18.60/0.31 = 60
Thus, Zoe's dinner cost was $60.
edf = 54 as well since both angles correspond to each other
We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.
Their measures are given as:
∠UVW = x - 10
∠XYZ = 4x - 10
Adding these, we have:
(x - 10) + (4x - 10) = 90
Simplifying:
5x - 20 = 90
Adding 20 to both sides:
5x = 110
Dividing by 5:
x = 22
Substituting back:
∠UVW = 22 - 10 = 12°
∠XYZ = 4(22) - 10 = 78°
Therefore, the values are:
x = 22°
∠UVW = 12°
∠XYZ = 78°
