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2 years ago

Find the measurement indicated in the parallelogram

Mathematics

1 answer:

Daniel [21]2 years ago

7 0

Answer:

m(∠W) = 114°

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

By this property,

m(∠W) = m(∠U)

9x + 15 = 4 + 10x

15 - 4 = 10x - 9x

x = 11

Therefore, m(∠W) = 9x + 15

= 9(11) + 15

= 99 + 15

= 114°

Measure of angle W is 114°.

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The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

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$\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
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Find the measurement indicated in the parallelogram​

Find the measurement indicated in the parallelogram