Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
8x(5x2+3)=8x(15+3)=8x13=104
Answer:
Total number of choices with a straw: 12
Total number of choices without a straw: 12
Total number of choices: 24
Step-by-step explanation:
Taj has a choice of:
- water, iced tea, or lemonade (3 options)
- with lemon or lime twist (2 options)
- served in a small or large glass (2 options)
This made a total of 3*2*2: 12 different choices
if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24
