Answer:
Polygons are congruent
Step-by-step explanation:
Polygons are congruent when they have the same number of sides, and all corresponding sides and interior angles are congruent
Answer:
-5 • (2w + 1)
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2
Step-by-step explanation:
Here u go i hope this correct
The quotient is 212.96.
Solution:
Given expression is 
.
Divide the given expression to find the quotient.
Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..
- If you have one zero in the divisor (10), then the decimal point will move 1 place to the left of the last digit.
- If you have two zeros in the divisor (100), then the decimal point will move 2 place to the left of the last digit.
- If you have three zeros in the divisor (1000), then the decimal point will move 3 place to the left of the last digit.
Here, we have 3 zeros in the denominator.
So, the decimal point is move 3 digit to the left of the last digit.
So, option C is the right answer.
Hence the quotient is 212.96.
Answer:
- a(x) = 20 + 0.60x
- domain [0, 50]; range [20, 50]
- maybe
Step-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
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b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
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c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
