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romanna [79]
3 years ago
8

Solve the inequality. m + 3 < 5 Please help with this

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

Step-by-step explanation:

m+3 < 5

Isolate the m by subtracting 3

m+3 - 3 < 5 - 3

m < 2

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54.8. Hope that helped :)
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The perimeter of a regular hexagon is 84 cm. What is the length of one side?
bonufazy [111]

Answer:

14cm

Step-by-step explanation:

As we know , hexagon has six sides .

so ,

We will divide the number of sides by the total perimeter to obtain the length of one side :

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Hexagon = 6 sides .

Length of one side of hexagon would be = 84/6

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3 years ago
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How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using wha
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I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

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3 years ago
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Find the limit, if it exists. (if an answer does not exist, enter dne.) lim (x, y) → (0, 0) x4 − 20y2 x2 + 10y2
Firdavs [7]
Traveling along the x-axis, we have

\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-20y^2}{x^2+10y^2}=\lim_{x\to0}\frac{x^4}{x^2}=\lim_{x\to0}x^2=0

On the other hand, along the y-axis we get

\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-20y^2}{x^2+10y^2}=\lim_{y\to0}\frac{-20y^2}{10y^2}=\lim_{y\to0}(-2)=-2

Therefore the limit doesn't exist.
5 0
3 years ago
Find the value of X<br>​
arsen [322]

Answer:

x = 118

Step-by-step explanation:

1. All the angles in a pentagon add up to 540, so to find the value of x, we can use this equation x + 122 + 103 + 98 + 99 = 540.

2. (Solving)

Step One: Simplify both sides of the equation by adding like terms.

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  • x + 422 = 540

Step Two: Subtract 422 from both sides.

  • x + 422 - 422 = 540 - 422
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8 0
3 years ago
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