9514 1404 393
Answer:
∠4 = 45°
Step-by-step explanation:
Angles 1, 2, and 4 are all congruent.
∠4 = ∠2
x +30 = 2x +15
15 = x . . . . . . . . . . . . . subtract x+15
x + 30 = 45 = ∠4
Answer:
Nuts for you
raisin-nuts
cran-soy
lots of cashews
Step-by-step explanation:
you take the price of each item and divide it by how many oz there are then put those numbers in order
Answer:
Simplifying
4cos(10x) + 2 = 2
Remove parenthesis around (10x)
4cos * 10x + 2 = 2
Reorder the terms for easier multiplication:
4 * 10cos * x + 2 = 2
Multiply 4 * 10
40cos * x + 2 = 2
Multiply cos * x
40cosx + 2 = 2
Reorder the terms:
2 + 40cosx = 2
Add '-2' to each side of the equation.
2 + -2 + 40cosx = 2 + -2
Combine like terms: 2 + -2 = 0
0 + 40cosx = 2 + -2
40cosx = 2 + -2
Combine like terms: 2 + -2 = 0
40cosx = 0
Solving
40cosx = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '40'.
cosx = 0.0
Simplifying
cosx = 0.0
The solution to this equation could not be determined.
Step-by-step explanation:
Answer: 0.665.
Step-by-step explanation:
60% of the bags are from supplier A, and 95% of them are undamaged.
40% of the bags are from supplier B, and 75% of them are undamaged.
Then, the number of undamaged bags from supplier A is:
0.6*0.95 = 0.57 or 57%
from B is:
0.4*0.75 = 0.3 or 30%
This means that the percentage of undamaged bags is:
57% + 30% = 87%.
Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:
P = 57%/87% = 0.655 or 65.5%
Then the probability that an undamaged bag comes from supplier A is 0.665.
Answer:
x = 14 is an extraneous solution
Step-by-step explanation:

Divide both sides by 4.

Square both sides.



Since we squared both sides, we much check for extraneous solutions because the process of squaring both sides can introduce extraneous solutions.
Check x = 14:





16 = -16 is a false statement, so the solution we found, x = 14, is an extraneous solution.