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3 years ago

Find the measure of angle 2. degrees

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

$If\ it's\ a\ rhombus,\ then:\\\\|\angle1|=90^o\\|\angle4|=30^o\\|\angle2|=|\angle3|\\\\|\angle2|+30^o+90^o=180^o\\|\angle2|+120^o=180^o\ \ \ |subtract\ 120^o\ from\ both\ sides\\\boxed{|\angle2|=60^o}$

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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t

katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on $y=x$ line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

$(x,y)\rightarrow (y,x)$

Points on line EF

$(0,6) , (-5,-2)$

On reflection of this line on $y=x$ the new points we get for line JK are

$(6,0),(-2,-5)$

Points on line GH

$(-4,9),(-9,1)$

On reflection on y=x line the new points we get for line LM are

$(9,-4),(1,-9)$

Slope of line JK

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}$

Slope of line LM

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}$

For two line to be parallel, their slopes will be same.

$m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}$

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

5 0

3 years ago

Please help me with this question

Anettt [7]

Answer:

136

Step-by-step explanation:

(6-10i)(6+10i)

36 +60i - 60i - 100i²

36 - 100i² (i² = -1)

36 + 100

136

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Cboxed%7B%20%5Cbegin%7Barray%7D%7B%7D%5Clarge%5Ctt%20The%20%20%5C%5C%20%20%5Ct

larisa86 [58]

Distance formula

$\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

Now

$\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units$

$\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units$

$\\ \tt\Rrightarrow LM=\sqrt{(-4-4)^2+(6+4)^2}=\sqrt{64+100}=\sqrt{164}\approx 13units$

$\\ \tt\Rrightarrow PC=\sqrt{(5-2)^2+(1-3)^2}=\sqrt{9+4}=\sqrt{13}=3.2units$

$\\ \tt\Rrightarrow QR=\sqrt{(-2+10)^2+(3-9)^2}=\sqrt{64+36}=\sqrt{100}=10units$

8 0

3 years ago

Read 2 more answers

Will 6,8, and 14 form a triangle

katrin [286]

No, you can't form a triangle.
6+8=14 and you can't build a triangle.

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3 years ago

URGENT Why is social distancing so important in stopping the spread of a virus? Simple: exponential growth. Find out how exponen

vagabundo [1.1K]

Answer:

to be safe

Step-by-step explanation:

the further you are the better, because we don't know who have the virus from who don't have it it's better to be 6 feet apart frome each other where ever you go.

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3 years ago