3 years ago

Mr. Bryan used similar quadrilaterals to make an art wall. Which statement about the quadrilaterals on the wall must be true?

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

They have corresponding angles that are congruent

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harina [27]

Answer: x = -3

Step-by-step explanation: hope this helps

23 – 7x + 6 + 8x = 26

x + 29 = 26

x + 29 - 29 = 26 - 29

x = 26 - 29

x = -3

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Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

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This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

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But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

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4 years ago