If possible, use the Law of Detachment to make a conclusion. If it is not possible to make a conclusion, tell why. 1. If a triangle is a right triangle, then the triangle has one 90º angle. ΔABC is a right triangle.
2. If a parallelogram has four congruent sides, then the parallelogram is a rhombus.
The parallelogram has four congruent sides.
3. If x > 7, then |x| > 7.
x < 7
4. If cats prowl, mice will scatter.
Mice are scattering.
5. If the light is flashing yellow, then you may drive with caution through the intersection.
The light is flashing yellow.
6. If a triangle has two congruent sides, then the triangle is isosceles. In ΔDEF, DE EF ≅ .

Which equation is true? i. 56 ÷ 4·7 = 82 ÷ (11 + 5) ii. (24 ÷ 8 + 2)3 = (42 + 9)2 neither i nor ii ii only i and ii i only

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

The value of cos 30° is the same as which of the following?