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Anettt [7]
3 years ago
6

Read the following statements then decide if, when combined, they present a convincing argument. You may need to refer back to y

our Polygon Graphic Organizer as you consider the following statements and decide if the conclusion is correct. Be sure to justify your reasoning.
Fact #1: A square has four sides of equal length.

Fact #2: A square is a rectangle because it has four right angles.

Fact #3: A rhombus also has four sides of equal length.

Conclusion: A rhombus is a rectangle.
Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

9514 1404 393

Answer:

  the conclusion is not justified. No statement is made regarding the angles of the rhombus

Step-by-step explanation:

A square is a rectangle because of its right angles, not because of its equal-length sides. The rhombus having equal-length sides does not qualify it as a rectangle. The conclusion of the argument is unsupported.

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A rain gauge had 0.6 centimeter of rain after 2 hours, 0.9 centimeter after 3 hours, 1.2 centimeters after 4 hours, and 1.5 cent
Ulleksa [173]

Answer: 0.3 cm per hour

Step-by-step explanation:

got it off of quizizzes

3 0
3 years ago
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Likurg_2 [28]

Answer:

B) Angle 5 and angle 4

Step-by-step explanation:

Given

See attachment for sketch

See comment for options

Required

The alternate interior angles

Interior angles are such that they are located between the given parallel lines.

In the attached sketch, the interior angles are: 3, 4, 5 and 6

Alternate angles are at the opposite sides of the transversal

Hence:

<em>4 and 5 are alternate interior</em>

<em>3 and 5 are also alternate interior</em>

5 0
3 years ago
Which of the following is equivalent to (Cd) to the fifth power
Rina8888 [55]

Answer:

The 3rd option is correct.

Step-by-step explanation:

This is because of an exponent rule that goes:

(xy)^z = x^z(y^z)

The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)

5 0
3 years ago
What is 22.5% written as a fraction in simplest form?​
murzikaleks [220]

Answer:

9/40

Step-by-step explanation:

  • Write down the percent divided by 100 like this:

22.5/100

  • Multiply both top and bottom by 10 for every number after the decimal point:
  • As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

(22.5*10)(100*10)= 225/1000

  • Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.

225 ÷ 25/ 1000÷25 = 9/40

5 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0
3 years ago
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