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2 years ago

3. CDEF is a parallelogram. Find m2C

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

6 0

Answer:

m<C = 56°

m<D = 124°

Step-by-step explanation:

Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°

4x + 28 + 17x + 5 = 180 add like terms

21x + 33 = 180 subtract 33 from both sides

21x = 147 divide both sides by 21

x = 7 now to find the measure of each angle replace x with 7

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mr_godi [17]

Answer:

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3 years ago

What's the next number? 5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, (?)

tino4ka555 [31]

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2 years ago

Read 2 more answers

Compare.<br><br> 140/130 _____ 104%

Gnoma [55]

Answer:

140/130 > 104%

Step-by-step explanation:

When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%

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3 years ago

An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal rin

IgorLugansk [536]

$\bf \textit{"The distance around each dot is 24}\pi \textit{ inches."}\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\quad 
\begin{cases}
r=radius\\
-----\\
C=24\pi 
\end{cases}\implies 24\pi =2\pi r\implies \cfrac{24\pi }{2\pi }=r
\\\\\\
\boxed{12=r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=12
\end{cases}\implies A=\pi 12^2\implies A=144\pi$

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3 years ago

Read 2 more answers

The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Debora [2.8K]

Answer:

The width of the rectangle is 14'8", and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

$l = 2w + 4$

The perimeter is 96 feet:

$p = 96$

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

$p = 2l + 2w$

We can solve for w by plugging the other two values into the last:

$p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}$

Now we can find the length by plugging w into the first equation:

$l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}$

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

$p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96$

So we know our answer's correct

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2 years ago