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mrs_skeptik [129]
2 years ago
7

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides. Qu

estion 8 options: A six-sided figure can have four sides congruent. A rectangle has four sides. Some triangles have all sides congruent. A square has four congruent angles.
Mathematics
2 answers:
Damm [24]2 years ago
7 0
A square is a figure with 4 congruent sides.

This is telling us that a figure with 4 congruent sides is a square. So we need to find other figures with 4 congruent sides that are not squares.

Since you are given choices you are looking for the choice that gives a figure with 4 congruent sides that is not a square. The correct choice is "A 6-sided figure can have 4 congruent sides"
Varvara68 [4.7K]2 years ago
6 0

Answer:

1. The six-sided figure can have 4 sides congruent but is not a square.

Step-by-step explanation:

We are given the statement,

'A square is a figure with four congruent sides'.

It is required to find the statement which is the counter-example for the above statement.

For the counter-example, the statement should hold:

<em>1. The figure has 4 congruent sides</em>

<em>2. The figure is not a square.</em>

According to the options, we see that,

The six-sided figure can have 4 sides congruent but is not a square.

Thus, option 1 is true.

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Coach Wilson ordered T-shirts for the basketball team from two different T-shirt suppliers. One supplier charged $16 for each sh
zhuklara [117]
Part A:
# of shirts bought in total (T)times cost of each shirt (E) =X. X times .5 (same as 5%)= shipping charge (S) =
first: T*E=X. second: X*.5=S

Part B:
vendor 1:
# of shirts bought (A) times cost of each shirt (B) plus shipping charge(C) times 10%=T. A*B+C*.10=T

vendor 2:
# of shirts bought (A) times cost of each shirt (B) plus shipping charge (C) minus $20= T. A*B+C-20=T

Part C:

vendor 1:
15*16=240 (total # of shirts * cost of ea.)
240+8= 248 (1st answer + $8 of shipping)
248*.10= 24.80 (2nd answer * 10% discount)
248-24.80= [223.20] (2nd answer - 10%)
vendor 1 total cost: 223.20.


vendor 2:
15*18=270 (# of shirt bought * cost of ea.)
270+12.60=280.60 (answr 1 + shipping cost)
280.60-20=[260.60](answr 2 -$20discount)
vendor 2 total cost: 260.60.
4 0
2 years ago
A machine is made up of 3 components: an upper part, a middle part, and a lower part. the machine is then assembled. 5 percent o
a_sh-v [17]
10 out of 100 are defective
7 0
2 years ago
Select all of the answers below that are equivalent to T = {Tinkey-Winky, Laa-Laa,
stepan [7]

Answer:

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}

Step-by-step explanation:

The options that will be equivalent to T will have to be the options that have the same Cardinality as T. Cardinality refers to the number of elements in a set and in the set T, there are 4 elements being Tinkey-Winky, Laa-Laa,  Dipsy, Po so the Cardinality is 4.

The equivalent sets would therefore be sets with a cardinality of 4 as well and those are;

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}
3 0
2 years ago
If 25% of 150 is equal to 700 percent of n, then n is equal to what number?
adelina 88 [10]
25% of 150 = 37.5
700% of x = 37.5
x = 5.35714285
5 0
2 years ago
The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many se
marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per <em>n</em> seconds

- Need to solve for <em>n</em>

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\frac{1.86 * 10^5}{1} = \frac{5.062 * 10^1^3}{n}

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13

4. Solve for <em>n</em> by isolating the variable and dividing.

\frac{n (1.86 * 10^5)}{1.86 * 10^5} = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n</em> = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)

4 0
2 years ago
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