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fgiga [73]
3 years ago
15

This handrail is made from congruent parallelograms. In parallelogram ABCD, AB = 17.5 , DE = 18, and angle BCD is 110º. Find the

measure of angle ABC.                                    
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
I'm a bit confused however this is what I have come up with. I did not use the values for AB or DE at all. As a warning, my geometry skills are not great as I do not remember much from 8th grade. 
If my memory serves me right, angle BCD's degree must equal's angle DAB's degree, so 110. A parallelogram's angle sums up to 360. If you add BCD and DAB's measurements, it equals 220, subtract this number from 360 and you get 140. angles ABC and ADC must also equal one another so if we divide 140 we get the individual angle degrees. If you do this you should get 70 degrees.
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I don’t understand, help me out
Vikki [24]

Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

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The equation of an area of a rectangle is A or  area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

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Hope that helps, good luck with your homework!

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Mandarinka [93]
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3 years ago
\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }
amm1812
<h3>Answer:  5</h3>

Work Shown:

m = \frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}\\\\m = \frac{6^{n}*6^2-6^{n}}{6^{n}*6^1+6^{n}}\\\\m = \frac{6^{n}*36-6^{n}}{6^{n}*6+6^{n}}\\\\m = \frac{6^{n}(36-1)}{6^{n}(6+1)}\\\\m = \frac{6^{n}(35)}{6^{n}(7)}\\\\m = \frac{35}{7}\\\\m = 5\\\\

Therefore,

\frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}=5\\\\

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Step-by-step explanation:

hope this helps!!!!!

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