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dalvyx [7]
2 years ago
8

PLEASE HELP DONT JUST GUESS JUST TO GET POINTS LOL Plot any four points on the coordinate plane and connect them to form a quadr

ilateral. Find the midpoint of each side of the quadrilateral and connect consecutive midpoints to form a new quadrilateral. What type of quadrilateral is formed? Repeat the process by starting with a different set of four points. Do you get the same result? Complete the conjecture about your findings.
The quadrilateral formed by this process will always be a

A)Trapezoid that is not a parallelogram
B) square
C)rectangle
D)parallelogram
Mathematics
1 answer:
sveticcg [70]2 years ago
5 0

The quadrilateral formed by this process will always be a parallelogram

<h3>Quadrilaterals</h3>

A quadrilateral is simply any polygon that has four sides and four corners.

Common examples are:

  • Square
  • Rectangle
  • Rhombus
  • Kite
  • Trapezoid
  • Rhombus
  • Parallelogram

<h3>Figure 1</h3>

A square is drawn at the coordinates:

(0,0), (6,0), (0,6) and (6,6)

The midpoints of the square sides are at the following coordinates:

(0,3), (3,6), (6,3) and (3,0)

When the points of the midpoints are joined together, they form a parallelogram

<h3>Figure 2</h3>

A trapezoid is drawn at the coordinates:

(0,0), (2,6), (8,6) and (10,0)

The midpoints of the square sides are at the following coordinates:

(5,0), (5,6), (1,3) and (9,3)

When the points of the midpoints are joined together, they form a parallelogram

Hence, the quadrilateral formed by this process will always be a parallelogram

Read more about quadrilaterals and parallelograms at:

brainly.com/question/1190071

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alexandr402 [8]
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This is because 14 * 14 = 196, which means that if each side length was 14 squares, that the area of the square would contain 196 squares.  
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3 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
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Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0
3 years ago
g A trial jury of 6 people is selected from 20 people: 8 women and 12 men. What is the probability that the jury will have an od
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Answer: P(odd) = 0.499

Step-by-step explanation:

Given:

Total number of people = 20

Number of men = 12

Number of women = 8

Number of jury to be selected = 6

For the jury to have an odd number of women. it must have either of the three.

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2. 3 women, 3 men

3. 5 women, 1 man

The total possible ways of selecting the 6 people jury is;

N = 20C6 = 20!/6!(20-6)!

N = 38760

The possible ways of selecting;

Case 1 : 1 woman, 5 men

N1 = 8C1 × 12C5

N1 = 8 × 792 = 6336

Case 2 : 3 women , 3 men

N2 = 8C3 × 12C3

N2 = 12320

Case 3 : 5 women, 1 man

N3 = 8C5 × 12C1

N3 = 672

P(Odd) = (N1+N2+N3)/N

P(odd) = (6336+12320+672)/38760

P(odd) = 19328/38760

P(odd) = 0.499

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