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Kipish [7]
3 years ago
5

I struggle a lot with pre-algebra pls help

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

Polygon B is similar to Polygon A.

Step-by-step explanation:

Polygon B has a <em>scale factor</em> of 2, because Polygon B looks identical to A, except the measurements are twice as large.

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The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) Parallelogram Rectangle Rhombus Square
VLD [36.1K]

Answer:

The figure is a rectangle

Step-by-step explanation:

* Lets explain how to solve the problem

- To prove the following set of coordinates represents which figure

  lets find the distance between each two points and the slopes of

  the lines joining these points

- The rule of the distance between two point is

 d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

- The rule of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- <em>Remember:</em>

* Parallel lines have same slopes

* The product of the slopes of the perpendicular lines is -1

# points (7 , 10) and (4 , 7)

∵ d1=\sqrt{(4-7)^{2}+(7-10)^{2}}=\sqrt{18}

∵ m1=\frac{7-10}{4-7}=\frac{-3}{-3}=1

# points (4 , 7) and (6 , 5)

∵ d2=\sqrt{(6-4)^{2}+(5-7)^{2}}=\sqrt{8}

∵ m2=\frac{5-7}{6-4}=\frac{-2}{2}=-1

# points (6 , 5) and (9 , 8)

∵ d3=\sqrt{(9-6)^{2}+(8-5)^{2}}=\sqrt{18}

∵ m3=\frac{8-5}{9-6}=\frac{3}{3}=1

# points (9 , 8) and (7 , 10)

∵ d4=\sqrt{(7-9)^{2}+(10-8)^{2}}=\sqrt{8}

∵ m4=\frac{10-8}{7-9}=\frac{2}{-2}=-1

∵ d1 = d3 = √18 and d2 = d4 = √8

∴ Each two opposite sides are equal

∵ m1 = m3 = 1 and m2 = m4 = -1

∴ Each two opposite sides are parallel

∵ m1 × m2 = 1 × -1 = -1

∵ m2 × m3 = 1 × -1 = -1

∵ m3 × m4 = 1 × -1 = -1

∵ m4 × m1 = 1 × -1 = -1

∴ Each two adjacent sides are perpendicular

- The set of coordinates represents a figure has these properties:

1. Each two opposite sides are equal

2. Each two opposite sides are parallel

3. Each two adjacent sides are perpendicular

∴ The figure is a rectangle

8 0
3 years ago
Change the following linear equation in standered form to slope- intercepts form: 2x-y=9
Yuki888 [10]
Since <span><span>2x,</span><span>2x</span></span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span><span>2x,</span><span>2x</span></span> from both sides.<span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span>Multiply each one <span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span> by <span><span>−1</span><span>-1</span></span>Multiply each one in <span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span> by <span><span>−1</span><span>-1</span></span>.<span><span><span><span>−y</span>⋅<span>−1</span></span>=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span><span><span>-y</span>⋅<span>-1</span></span>=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>make it simple <span><span><span>−y</span>⋅<span>−1</span></span><span><span>-y</span>⋅<span>-1</span></span></span>.Multiply some more. <span><span>−1</span><span>-1</span></span> by <span><span>−1</span><span>-1</span></span> to get <span>11</span>.<span><span><span>1y</span>=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span><span>1y</span>=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>Multiply <span>yy</span> by <span>11</span> to get <span>yy</span>.(but Y?)<span><span>y=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span>y=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>Simplify each stuff that you simplify. Multiply...again..... <span><span>−1</span><span>-1</span></span> by <span><span>−2</span><span>-2</span></span> to get <span>22</span>.<span><span>y=<span><span>2x</span>+<span>9⋅<span>−1</span></span></span></span><span>y=<span><span>2x</span>+<span>9⋅<span>-1</span></span></span></span></span>Multiply some more..... <span>99</span> by <span><span>−1</span><span>-1</span></span> to get <span><span>−9</span><span>-9</span></span>.<span>y=<span><span>2x</span><span>−<span>9.</span></span></span></span>
5 0
3 years ago
Read 2 more answers
The radius of a circle is 3cm. find its area to the nearest tenth<br>​
lianna [129]

Step-by-step explanation:

area of circle =πr²

=28.28cm²

hope it helps.

3 0
3 years ago
What problem led to playgrounds becoming more common in America cities
son4ous [18]
This link might help you :)
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3 years ago
- 7th Grade Work -<br><br> Please help, and answer only if you have an answer for this problem.
Serggg [28]

Answer:

8.5

Step-by-step explanation:

120 * 0.4 = 48 + 20 = 68

120 * 0.45 = 54 + 22.25 = 76.5

76.5 - 68 = 8.5

8 0
3 years ago
Read 2 more answers
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