Answer:
P'(-12, -18)
Step-by-step explanation:
The image of a point reflected over the y-axis is as far to the left of that axis as the original point is to the right. That is, the reflection changes the sign of the x-coordinate. The reflected point is ...
P'(-12, -18)
Answer:
6x + 16
Step-by-step explanation:
To simplify this, distribute each term in the parentheses to the 2.
2 · 3x = 6x
2 · 8 = 16
Putting these two terms together, the final simplified expression is 6x + 16.
To find this answer, we must first find the percentage of batteries that are defective. We can do this by dividing 3 by 500.
3 / 500 = 0.006
So our percentage of defective batteries is 0.6%.
Now, to find out how many defective batteries would be in a batch of 12000, we just need to multiply the constant (percentage of defective batteries) by the amount in the new batch.
12000 * 0.006 = 72
In a shipment of 12,000 batteries, 72 will be defective, so the correct answer choice would be B.
Hope that helped =)
The answer for this is m
=
5.436564
v
2
?
Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
