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3 years ago

9

EXTRA POINTS :) what is the value of x??

1 answer:

vlada-n [284]3 years ago

8 0

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180 subtract 10 from both sides

-10 -10

10x = 170 divide each side by 10

/10 /10

x = 17

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Graph the polygon and its image after a dilation centered at C(1,1)

Grace [21]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.

DIlations are defined by the follwing operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.
$k$ - Dilation factor.
$P(x,y)$ - Original point of the polygon.
$P'(x,y)$ - Dilated point of the polygon.

If we know that $O(x,y) = (1,1)$ , $k = 0.5$ , $J(x,y) = (3,1)$ , $K(x,y) = (5, -3)$ , $L(x,y) = (5,5)$ and $M(x,y) = (3,7)$ , then the coordinates of the new polygon are:

$J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]$

$J'(x,y) = (1,1)+0.5\cdot (2,0)$

$J'(x,y) = (1,1) +(1,0)$

$J'(x,y) = (2,1)$

$K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]$

$K'(x,y) = (1,1) +0.5\cdot (4,-4)$

$K'(x,y) = (1,1) +(2,-2)$

$K'(x,y) = (3,-1)$

$L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]$

$L'(x,y) = (1,1) + 0.5\cdot (4,4)$

$L'(x,y) = (1,1) + (2,2)$

$L'(x,y) = (3,3)$

$M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]$

$M'(x,y) = (1,1) +0.5\cdot (2,6)$

$M'(x,y) = (1,1) +(1,3)$

$M'(x,y) = (2,4)$

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.

We kindly invite to check this question on dilations: brainly.com/question/13176891

6 0

3 years ago

Help i'm in a hurry!!! first gets brainliest!!!!!!!!!!!!!!!!!!!<br> Help on the second one pls!

mina [271]

Answer:

THX FOR AWNSERING

Step-by-step explanation:

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3 years ago

2.1n -5.31 = 18 <br> Question : Find n <br> Pls Answer !!

Daniel [21]

Answer:

n = 11.1

Step-by-step explanation:

2.1n = 18 + 5.31

2.1n = 23.31

n = 23.31 / 2.1

n = 11.1

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A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters what is the width of the rectangle

notsponge [240]

Answer:

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Step-by-step explanation:

We are given that

Perimeter of rectangle, P=116 cm

Length of rectangle, l=26 cm

We have to find the width of the rectangle.

We know that

Perimeter of rectangle, P= $2(l+b)$

Where l=Length of rectangle

b=Width of rectangle

By using the formula

$116=2(26+b)$

$\frac{116}{2}=26+b$

$58=26+b$

$58-26=b$

$32=b$

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