Plzz answer this question properly step by step

54°

Step-by-step explanation:

∠A = 2x + 10, ∠C = 3x - 14

∠E + 266 = 360 (sum of angles around a point)

∠E = 360 - 266

∠E = 94°

AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:

∠B + ∠D = 180° (sum of interior angles on the same side)

∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)

2x + 10 + 3x - 14 + 94 + 180 = 540

5x + 270 = 540

5x = 540 - 270

5x = 270

x = 54°

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98