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den301095 [7]
3 years ago
14

Is (10 +62) mod 7 + 2 mod 7 ≡ (10 + 2) mod 7 + 62 mod 7?

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Yes.

(10 + 62) + 2 ≡ 72 + 2 ≡ 74 ≡ 4 (mod 7)

and

(10 + 2) + 62 ≡ 12 + 62 ≡ 74 ≡ 4 (mod 7)

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Answer:

Step-by-step explanation:

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3 years ago
Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
What is the area of the pentagon below?<br> 12.5 m<br> 20 m<br> 25 m<br> 27.5 m
igor_vitrenko [27]
20 m is the pentagon area
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3 years ago
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Thus,

2r = d

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For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

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Answer:

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Step-by-step explanation:

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