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3 years ago

Find the value of x in the angle pair.

Mathematics

2 answers:

adelina 88 [10]3 years ago

7 0

Answer:

$\huge\boxed{\tt{x = 50}}$

Step-by-step explanation:

3x + 30 = 180 (Angles on a straight line add up to 180 degrees)

Subtract 30 to both sides

3x = 180 - 30

3x = 150

Divide 3 to both sides

x = 150 / 3

x = 50

$\rule[225]{225}{2}$

Hope this helped!

Fudgin [204]3 years ago

5 0

Answer:

$\Large \boxed{\sf x=50}$

Step-by-step explanation:

Angles on a straight line add up to 180°

$30+3x=180$

Solve for x

$3x=150$

$x=50$

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Step-by-step explanation:

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Read 2 more answers

P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5

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$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}$

solve for "k", to find k or the "constant of variation"

then plug k's value back to $\bf p=\cfrac{k}{(q-2)^3}$

now.... what is "p" when q = 5? well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is

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