Aimee must add together the following numbers: 3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00as her first step, aimee writes: (3.50 + (–7.50)) + (–1.25 + 5.25) + (4.00 + 2.00)which is the best explanation of what aimee did in this step? a. aimee used the associative and commutative properties to put opposite numbers together. b. aimee used the identity property to put numbers with the same values after the decimal point together. c. aimee used the associative and commutative properties to put numbers that are easy to add next to each other. d. aimee used the inverse property to pair each positive decimal with a negative decimal so that they will cancel out.

Step-by-step explanation:

The given problem is

Aimee's first step is

As you can observe Aimee associated all numbers in a way that helped her to percieve clearl the operations she needs to do. That's a proper use of the associative property.

Therefore, the right answer is C., because Aimme used the associative and commutative properties to make it easier for her.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1