Answer:
∠ PQR = 55°
Step-by-step explanation:
∠ QPR = 74° ( vertical angles )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180°
∠ PQR = 180° - (74 + 51)° = 180° - 125° = 55°
Answer:
I believe it's 42
Step-by-step explanation:
Replace each letter in the expression with the assigned value.
First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you're substituting inside parentheses. The value that's given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression.
However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem.
Perform the operations in the expression using the correct order of operations.
Once you've substituted the value for the letter, do the operations to find the value of the expression.
Answer:
0.66
Step-by-step explanation:
As division is always done before addition you would divide the 6 by 10 and then divide the 6 by 100. 6 divided by 10 is equal to 0.6 as you move the decimal point to the left once. 6 divided by 100 is equal to 0.06 as you move the decimal point to the left twice. Addition is always done after division so you would add 0.6 and 0.06 together. This will give you 0.66 as your answer.
Answer:
8. $35.10
9. $59.63
10. $13.43
11. $70
12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.
Step-by-step explanation:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
8. Percent off is 22%. We pay 78%=0.78.
45(0.78)=$35.10
9. Percent off is 33%. We pay 67%=0.67.
89(0.67)=$59.63
10. Percent off is 44%. We pay 56%=0.56.
23.99(0.56)=$13.43
11. Percent off is 75%. We pay 25%=0.25.
279.99(0.25)=$70
12. See explanation above.
According to the rule of 72, that rate will be 72/33 ≈ 2.18 percent.
