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KatRina [158]
3 years ago
13

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele

ct none.
When m<2 = m<6

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
The second choice is correct.  Given that angle 2 and angle 6 are congruent, the largest in each of the corresponding triangles are vertical angles meaning that two known angles are known in each triangle (and they are equal) which means that the last "unknown" (angles 3 and 7) are congruent.  The lines DC and AB correspond with these defined, congruent triangles meaning they are parallel.
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Alex17521 [72]
3o'clock - directly to the right of the origin; on the x axis - (5,0)
6o'clock - directly below the origin; on the y-axis - (0,-5)
9o'clock - directly to the left of the origin; on the x-axis, (-5,0)
12o'clock - directly above the origin; on the y-axis, - (5,0)
7 0
3 years ago
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What is the sum of 821 and 153?
Snezhnost [94]
The sum of this is 974
3 0
3 years ago
Please help me!!!<br> Will give 100 points.<br> Will give BRAINILEST
Oksana_A [137]

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

  • Be an irregular polygon (different sides and/or angles).
  • Have at least five sides.
  • Have the approximately the same area as a 14" diameter circle.
  • Fit in a 14⅛" × 14⅛" square.
  • Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top.  If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions.  The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in².  If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions.  This is just one way.

3 0
3 years ago
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Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.
JulijaS [17]
A:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x-5+3x+9

(f+g)(x)=7x+4

B:

(f•g)(x)=f(x)•g(x)

(f•g)(x)=(4x-5)(3x+9)

(f•g)(x)=12x^2-15x+36x-45

(f•g)(x)=12x^2+21x-45

C:

(f○g)(x)=f(g(x))

(f○g)(x)=4(3x+9)-5

(f○g)(x)=12x+36-5

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6 0
3 years ago
The table represents some points on the graph of a linear function.
Sunny_sXe [5.5K]

Answer:

B. -\frac{9}{2}

Step-by-step explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

Rate of change = \frac{y_2 - y_1}{x_2 - x_1}

Let,

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(0, 3) = (x_2, y_2)

Plug in the values

Rate of change = \frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}

7 0
3 years ago
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