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Mademuasel [1]
3 years ago
12

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>

<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

\mathbf{a^2 = 2^2}

\mathbf{a^2 = 4}

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

\mathbf{if\ a^2 = 4,\ then\ a \ne 2}

An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

\mathbf{a = -2}

Hence, the complete statement could be:

<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

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Alexeev081 [22]

You basically multiply across. 1/4 times 7/8 is 7/32 because numerator, 1 times 7 and denominator, 4 times 8. Hope it helps.

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Answer:

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Step-by-step explanation:

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Evaluate 3(a b c)2 for a = 2, b = 3, and c = 4.
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Solve -1 7/8 * (-2 2/5)
Semmy [17]

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exact form:

9/2

decimal form:

4.5

mixed number form:

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Sindrei [870]

Answer:

EF = 22 , AB = 1

Step-by-step explanation:

the midsegment of a trapezoid is equal to half the sum of the parallel bases

EF = \frac{1}{2} (AB + DC ) ← substitute values

x + 6 = \frac{1}{2} (2x - 9 + x + 5) ← multiply both sides by 2 to clear the fraction

2x + 12 = 3x - 4 ( subtract 3x from both sides )

- x + 12 = - 4 ( subtract 12 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

Then

EF = x + 6 = 16 + 6 = 22

Similarly

EF = \frac{1}{2} (AB + DC ) , that is

x + 3 = \frac{1}{2} (4x - 3 + 2x + 5 ) ← multiply both sides by 2 to clear the fraction

2x + 6 = 6x + 2 ( subtract 6x from both sides )

- 4x + 6 = 2 ( subtract 6 from both sides )

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Then

AB = 4x - 3 = 4(1) - 3 = 4 - 3 = 1

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2 years ago
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