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xz_007 [3.2K]
2 years ago
10

A line and two triangles are shown on the coordinate plane.

Mathematics
1 answer:
harkovskaia [24]2 years ago
4 0

The slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

<h3>Slope of a Line</h3>
  • Slope = rise / run = change in y / change in x
  • Any two points on a line will have the same slope.

Find the slope between D and B:

Slope of DB = BC/DC

Slope of DB = 3 units / 6 units

Slope of DB = ½

Find the slope between E and F:

Slope of EF = GE/GF

Slope of EF = 2 units / 4 units

Slope of EF = ½

Therefore, the slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

Learn more about slope on:

brainly.com/question/3493733

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What is the rule when you multiply several factors together? an even number of negative signs will result in
IrinaVladis [17]
⓵
When multiplying several factors together, an even number of negative signs will result in a positive answer.

↠ Because when you multiply two negative signs together, the negative signs turn into a positive sign, giving you a positive answer.

↠ If you have an even number of negative signs to multiply, then all your negative signs will be turned into positive signs, giving you a positive answer!

⓶
When multiplying several factors together, an odd number of negative signs will result in a negative answer.

↠ Because when you multiply a negative sign by a positive sign, the negative sign always wins, giving you a negative answer.

↠ If you har an odd number of negative signs to multiply, this means that once you are done multiplying all of the negative signs together except for the last one, you will be multiplying a positive sign with a negative sign.

↠ Here’s another way to see it : if you have 5 negative signs to multiply together, you will start by multiplying the first 2, which will give you a positive result. Then you will multiply the third and the fourth negative signs together, which will also give you a positive result. By that time, you will have two positive signs and one negative sign left, which means you will have no choice but to multiply a positive sign by the last negative sign, resulting in a negative answer!

I hope this helps! If you need a visual example, just tell me, it will be my pleasure! ☻
4 0
3 years ago
Can somebody explain this to
beks73 [17]

Check the picture below.

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}

6 0
2 years ago
Dilate the triangle with a scale factor of 2 and a center of dilation at the origin
satela [25.4K]

Answer:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.

The picture below shows a dilation with a scale factor of 2. This means that the image, A', is twice as large as the pre-image A. Like other transformations, prime notation is used to distinguish the image fromthe pre-image.

Step-by-step explanation:

ur welcome

4 0
2 years ago
Please help !!!!!!!!!!!
Dvinal [7]

Answer: 6) x= 17 Same side interior angles sum to 180.

7) x= 3 Alternate exterior angles are equal.

8) x= 35 Corresponding angles are equal.

9) x= 12 Alternate interior angles are equal

Step-by-step explanation:

6) x= Same side interior angles sum to 180.

53+(8x-9)= 180

44+8x= 180

Subtract 44 from both sides

8x= 136

Divide both sides by 8

X = 17

7) x= Alternate exterior angles are equal. 15x+29= 26x-4

Subtract 15x from both sides

29= 11x-4

Add 4 to both sides

33= 11x

Divide both sides by 11

X=3

8) x= Corresponding angles are equal.

4x+7= 6x-63

Subtract 4x from both sides

7 = 2x -63

Add 63 to both sides

70= 2x

Divide both sides by 2

X= 35

9) x= Alternate interior angles are equal

9x+37= 14x-23

Subtract 9 x from both sides

37= 5x -23

Add 23 to both sides

60= 5x

Divide both sides by 5

12=x

7 0
2 years ago
Brandon saved $50 to buy his mom a birthday present. He found a necklace that he knew she would like. the necklace cost $48 plus
ivanzaharov [21]

Answer: 51.84$

Step-by-step explanation: Because 8% of 48 is 3.84$

6 0
3 years ago
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