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Wittaler [7]
2 years ago
12

Solve for the value of k

Mathematics
2 answers:
ELEN [110]2 years ago
8 0

Answer:

k=6

Step-by-step explanation:

a line is 180deg and since there is a 90deg angle there, you can subtract it from 180, leaving you with 90.

(7k + 8) + 40 = 90     >> subtract 40 from both sides

7k + 8 = 50                >> subtract 8 from both sides

7k = 42                       >> divide both sides by 7 to get k alone

k = 6

Fofino [41]2 years ago
7 0

Answer:

Combine like terms in the left side. Substract both sides. Divide by both sides therefore. the answer is the option

Step-by-step explanation:

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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3
Nookie1986 [14]
\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
\end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k
\\\\\\
13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}
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2 years ago
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