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Dima020 [189]
3 years ago
11

Which property is represented below? 12+(8+5)=(12+8)+5

Mathematics
1 answer:
NikAS [45]3 years ago
3 0
Associative Property of Addition
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What is the slope of the line that passes through the points (1,7) and (-4,-8)?
Aleksandr [31]

Answer:

D. 3

Step-by-step explanation:

To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.

All we can do now is insert the values of the points into the equation.

-8-7/-4-1=m

-15/-5=m

3=m

Thus, the slope is 3.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Please help thanks in advance
Galina-37 [17]

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

7 0
3 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
RSB [31]

Answer:

A.

Step-by-step explanation:

<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

y=2(x+3)

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

y=3x+5

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

y=2(x+3)\\y=2x+6\\-2x+y=6

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

-2x+y=6\\2x-y=-6

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

y=3x+5\\-3x+y=5\\3x-y=-5

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

7 0
3 years ago
Find the area of the regular polygon below and round your answer to the nearest tenth.
stira [4]
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
  a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
  A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
4 0
3 years ago
From 12,000 graphing calculators produced by a​ manufacturer, an inspector selects a random sample of 550 calculators and finds
maria [59]

Answer:

131

Step-by-step explanation:

Using proportion,

If Out of 550 calculators = 6 are defective,

Then out of 12000 calculators = ? are defective

\frac{12000 calculators}{550calculators} * 6

= 21.8 * 6

= 130.8 ≈ 131

∴ Approximately 131 calculators are defective

3 0
3 years ago
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