What is the value of x?

Mathematics

1 answer:

blsea [12.9K]3 years ago

3 0

Since these are supplementary angles (two angles which sum to 180°) we can say:

4x+x=180 combine like terms on left side

5x=180 divide both sides by 5

x=36°

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Alejandro was picked by this teacher to find the integer that has the square root closest to 7, without going over. he wrote 52

andrey2020 [161]

Considering that the square root of 49 is 7, and 52 > 49, Alejandro was not correct, as the correct integer is of 48.

<h3>What is the integer that has the square root closest to n, without going over?</h3>

The integer that has square root n is given by:

S(n) = n².

Hence the closest is given by:

C(n) = n² - 1.

In this problem, we have n = 7, hence:

C(7) = 7² - 1 = 48.

Which means that Alejandro was not correct.

More can be learned about square roots at brainly.com/question/27678604

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2 years ago

15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080

Sholpan [36]

$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x$