2 years ago

Help I need a awnser

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

6 0

The answer would be 8/35

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Good Morning Ethansledd17!<br> what is 54873578x958498=?

pickupchik [31]

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Step-by-step explanation: Hoped this helped!!!

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2 years ago

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Given that KD is congruent to AT prove that angle K is congruent to angle T

Mademuasel [1]

KD is congruent to AT as:

<h3>angles are of equal measure</h3><h3>sides KD and TA are equal</h3><h3>sides DT and KA are equal</h3>

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<h3>They are constructed in a way of having same angle.</h3>

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1 year ago

What are the next three terms of the following geometric sequence: 32, 48, 72...

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Step-by-step explanation:

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2 years ago

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Varvara68 [4.7K]

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2 years ago

Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.

sp2606 [1]

Answer:

I think that what you are trying to show is: If $s$ is irrational and $r$ is rational, then $r+s$ is rational. If so, a proof can be as follows:

Step-by-step explanation:

Suppose that $r+s$ is a rational number. Then $r$ and $r+s$ can be written as follows

$r=\frac{p_{1}}{q_{1}}, \,p_{1}\in \mathbb{Z}, q_{1}\in \mathbb{Z}, q_{1}\neq 0$

$r+s=\frac{p_{2}}{q_{2}}, \,p_{2}\in \mathbb{Z}, q_{2}\in \mathbb{Z}, q_{2}\neq 0$

Hence we have that

$r+s=\frac{p_{1}}{q_{1}}+s=\frac{p_{2}}{q_{2}}$

Then

$s=\frac{p_{2}}{q_{2}}-\frac{p_{1}}{q_{1}}=\frac{p_{2}q_{1}-p_{1}q_{2}}{q_{1}q_{2}}\in \mathbb{Q}$

This is a contradiction because we assumed that $s$ is an irrational number.

Then $r+s$ must be an irrational number.

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2 years ago