Answer: x=90° y=43°
Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.
Answer:
The answer is "562.432"
Step-by-step explanation:
Given:

Using formula:


I would plug in each of the solutions to every equation and see which one works. This is probably easier than solving for x, y, and z. But let me know if you would like me to run through the steps!
First choice: using the first equation, -3(-3)-4(4)+6=-19 not -1 as listed. False.
Second choice: using the first equation, -3(4)-4(-3)+(-1)=-1 ; using the second equation, 2(4)+(-3)-(-1)=6 not -8 as listed. False.
Third choice: using the first equation, -3(-3)-4(4)+8=-17 not -1 as listed. False.
Fourth choice: using the first equation, -3(3)-4(-4)+-(-6)=-1 ; using the second equation,
2(3)+(-4)-(-6)=8 ; using the third equation, 3+8(-4)-(-6)=23
So the answer should be the fourth choice. Hope this helps! :)
Disjoint events are those which do not have any outcome in common. From the given options only option D represents such an event.
Spinning a number less than 4 will result in 1,2 or 3 as outcome. Second event is getting a 6. So these two events do not have anything in common.
Thus, the answer is option D