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3 years ago

PLEASE HELP NOW I WILL MARK BRAINLYST IF CORRECT What property of equality is demonstrated below? 2 + (5 + 6) = (2 + 5) + 6

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

The property demonstrated in the example 2 + (5 + 6) = (2 + 5) + 6 is The Associative Property.

We can tell this is the associative property because of what the associative property states. The associative property states that it doesn't matter where you put parenthesis when adding or multiplying numbers. Since we see an equation that has addition, and two equations being equal to each other, despite having different placements of parenthesis, we can see that this equation is demonstrating The Associative Property.

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Step-by-step explanation:

Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.

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2 years ago

What value of x satisfies the equation 3x + 3 = 27?

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Amy wants to estimate 11% of $9.11. what is a good estimate of the answer

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3 years ago

Mia used 3 different base 10 blocks to model a 3 digit number what is the number?

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3 years ago

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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Debora [2.8K]

Answer:

The width of the rectangle is 14'8", and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

$l = 2w + 4$

The perimeter is 96 feet:

$p = 96$

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

$p = 2l + 2w$

We can solve for w by plugging the other two values into the last:

$p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}$

Now we can find the length by plugging w into the first equation:

$l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}$

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

$p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96$

So we know our answer's correct

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2 years ago