we know that
Supplementary angles are those angles whose sum is equal to degrees and vertical angles are angles that are congruent.
so
Let
x--------> the first angle
y--------> the second angle
so
--------> equation
--------> equation
Substitute equation in equation
therefore
the answer is
the angles are right angles
the division property of equality
the addition property of equality
the subtraction property of equality
Answer:
A.The multiplication property of equality
Step-by-step explanation:
We are given that
If x=3 then
We have to find that which property of equality used to arrive at the conclusion.
Let p: x=3
q:
There is q is conclusion is
If we multiply by x on both sides then we get
Hence, the multiplication property of equality used to arrive at the conclusion.
Answer:A.The multiplication property of equality
Answer:
the probability that a randomly selected item is non-defective is approximately 96.3%.
Step-by-step explanation:
This involves finding the probability of an item being non-defective for each machine and then combining these probabilities based on the machine's contribution to the total production.
Let's calculate it step by step:
Probability that an item from Machine A is non-defective:
The probability of a defective item from Machine A is 3%, so the probability of a non-defective item from Machine A is 100% - 3% = 97%.
Probability that an item from Machine B is non-defective:
The probability of a defective item from Machine B is 4%, so the probability of a non-defective item from Machine B is 100% - 4% = 96%.
Probability that an item from Machine C is non-defective:
The probability of a defective item from Machine C is 5%, so the probability of a non-defective item from Machine C is 100% - 5% = 95%.
Now, we need to consider the contribution of each machine to the total production:
Machine A produces 50% of the items.
Machine B produces 30% of the items.
Machine C produces 20% of the items.
To find the overall probability that a randomly selected item is non-defective, we'll use a weighted average:
Probability (Non-Defective) = (Probability from A * Fraction from A) + (Probability from B * Fraction from B) + (Probability from C * Fraction from C)
Probability (Non-Defective) = (97% * 50%) + (96% * 30%) + (95% * 20%)
Now, calculate the weighted average:
Probability (Non-Defective) = (0.97 * 0.50) + (0.96 * 0.30) + (0.95 * 0.20)
Probability (Non-Defective) = 0.485 + 0.288 + 0.19
Probability (Non-Defective) = 0.963
So, the probability that a randomly selected item is non-defective is approximately 96.3%.
The probability that an item randomly selected from the production of machines A, B, and C is non-defective is 0.963 or 96.3%.
The question is about calculating the probability of an item being non-defective in a factory production environment. Here is how you can find the solution:
Learn more about Probability here:
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Answer:
Jason would have to work 60 hours.
Step-by-step explanation:
The equation you would use would be 450 + 12.50t = 1200.
1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.
You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!
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