1.)Name the property that is illustrated.
a) 7 „e 6 ƒ 6 „e 7
b) 7 ƒy (1 ƒy 9) ƒ (7 ƒyƒn1) ƒy 9
2.)
a) Identify the base in the following statement
b) Solve for the amount.
What is 81% of 285?
3.)a) Find the supplement of „£A.
b) Find the compliment of „£A.
m„£A ƒ 72„a
1.) Name the property that is illustrated.
a) This is the commutative property of addition, which states that the order of the numbers being added does not change the sum. In this case, 7 + 6 is the same as 6 + 7.
b) This is the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term of the sum and then adding the products. In this case, 7 multiplied by the sum of (1 multiplied by 9) is equal to 7 multiplied by 1, plus 7 multiplied by 9.
2.)
a) In the statement "What is 81% of 285?", the base is 285. In percentage problems, the base is the whole or total amount being referred to.
b) To solve for the amount, we use the formula: Amount = (Percentage/100) x Base. In this case, the percentage is 81, and the base is 285. Plugging these values into the formula, we have: Amount = (81/100) x 285 = 0.81 x 285 = 231.45. Therefore, 81% of 285 is 231.45.
3.)
a) The supplement of angle A is the angle that, when added to angle A, gives a sum of 180 degrees. So, to find the supplement of angle A, we subtract the measure of angle A from 180. In this case, the supplement of angle A is 180 - 72 = 108 degrees.
b) The complement of angle A is the angle that, when added to angle A, gives a sum of 90 degrees. So, to find the complement of angle A, we subtract the measure of angle A from 90. In this case, the complement of angle A is 90 - 72 = 18 degrees.