What is the value of x:

Mathematics

1 answer:

notsponge [240]4 years ago

6 0

Answer:

100

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of $\sqrt{2}$ . x is therefore:

$100\sqrt{2}\div \sqrt{2}=100$

Hope this helps!

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The greater of two numbers is 5 more than the smaller. If the

xenn [34]

Answer:

First number = 4

Second number = 9

Step-by-step explanation:

If the first number = x, the second number = x + 5.

The calculation can be expressed as follows:

x + 2(x + 5) = 22

First, expand the bracket 2(x + 5):

x + 2x + 10 = 22

Combine like terms:

3x + 10 = 22

Subtract 10 from both sides:

3x = 12

Divide both sides by 3:

x = 4

First number = 4

Second number = 4 + 5 = 9

5 0

1 year ago

If the perimeter is 168 and the width is 6 feet longer than thr length what are the dimensions

Ksenya-84 [330]

$\bf \textit{perimeter of a rectangle}\\\\ P=2(L+w)~~ \begin{cases} L=length\\ w=width\\ ----------\\ P=168\\ w=\stackrel{\textit{6 feet longer than L}}{L+6} \end{cases}\implies 168=2(L+\stackrel{w}{L+6}) \\\\\\ 84=2L+6\implies 78=2L\implies \cfrac{78}{2}=L\implies \boxed{39=L} \\\\\\ w=39+6\implies \boxed{w=45}$