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°.

You might be interested in

It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce

Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0

3 years ago

Money from an allowance or job is known as what

sineoko [7]

Answer:

salary my guesss don't know right or wrong

3 0

3 years ago

Read 2 more answers

Kelly deposits $3,000 at a rate of 5.2% compounded quarterly. With no additional deposits or withdrawals, what is the account ba

lorasvet [3.4K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637$