Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:
4x + 28 = 180
This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:
(x + 34) = 72°
(2x - 6) = 70°
x° = 38°
Answer:
Parallel lines have the same slope, so the one with the same slope.
Experimental probability = 1/5
Theoretical probability = 1/4
note: 1/5 = 0.2 and 1/4 = 0.25
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How I got those values:
We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.
Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.
The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.
For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.
In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.
Is that supposed to be x squared, or x times 2 in the beginning of the first one?
Answer:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.
