Answer:
The answer to your question is: 20°
Step-by-step explanation:
Data
m∠XZY = 40
m∠XZB = 20
Process
1.- Find the measure of ∠ XAB
∠XAB = 40° because AB ║ YZ
2.- Find the measure of ∠ZAB
∠ZAB + ∠XAB = 180
∠ZAB = 180 - ∠XAB
∠ZAB = 180 - 40
∠ZAB = 140°
3.- Find the measure of ∠ABZ
The sum of the internal angles in a triangle equals 180°
∠AZB + ∠ZAB + ∠ABZ = 180
20° + 140° + ∠ABZ = 180
∠ABZ = 180 - 20 - 140
∠ABZ = 20°
Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1
tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1
Your answer is simple times 6 to 3 to get 18 then 15 by 8 to get 96 then add up everything to get 114
Answer:
The marked price of the watch is $2,702.27.
Step-by-step explanation:
Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:
1 - 0.2 = 0.8
0.8 x 1.1 = 2378
0.88 = 2378
0.88 = 2378
0.8 = X
0.8 x 2378 / 0.88 = X
1,902.4 / 0.88 = X
2,161.81 = X
0.8 = 2,161.81
1 = X
2,161.81 / 0.8 = X
2,702.27 = X
Therefore, the marked price of the watch is 2,702.27.
