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Vika [28.1K]
3 years ago
11

What is the length of CD in this diagram, ABC - EDC,

Mathematics
2 answers:
natima [27]3 years ago
8 0

Answer:

<h2>4</h2>

Option A is the right option.

solution,

∆ABC~∆EDC

\frac{bc}{cd}  =  \frac{ac}{ec}  \\  \:

putting the values,

\frac{20 - x}{x}  =  \frac{20}{5}  \\  or \: 5(20 - x) = 20x(cross \: multiplication) \\ or \: 100 - 5x = 20x \\ or \:  - 5x - 20x =  - 100 \\ or \:  \:  - 25x =  - 100 \\  \: or \: x =  \frac{ - 100}{ - 25}  \\ x = 4

Hope this helps..

Good luck on your assignment..

Verdich [7]3 years ago
7 0

Answer:

it's 4. I just did this on Apex and the answer was 4

Step-by-step explanation:

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The sum of interior angles of a polygon measures 11,520. How many sides does the polygon have?
Digiron [165]
The sum of angles in a regular n sided polygon:

(n - 2)*180

(n - 2)*180 = 11520

(n - 2) = 11520/180

(n - 2) = 64

n - 2 = 64

n = 64 + 2

n = 66

Polygon has 66 sides.
4 0
3 years ago
45/43 as a percentage rounded to the nearest tenth?
Zolol [24]

Answer:

104.65116279%

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s
devlian [24]

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

5 0
3 years ago
Read 2 more answers
For the parallelogram, fond the value of the variables. Show your work.
lisabon 2012 [21]

For this case, the first thing you should know is that the opposite sides of the parallelogram are the same.

Therefore, we have the following equations:

3y-6 = 21\\5x + 2 = 17

From equation 1 we have:

3y = 21 + 6\\3y = 27

y = \frac{27}{3}\\y = 9

From equation 2 we have:

5x = 17 - 2\\5x = 15

x = \frac{15}{5}\\x = 3

Answer:

the value of the variables are:

y = 9\\x = 3

3 0
3 years ago
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If you are looking for the height of a pyramid and the volume is 18,069,333.33333 and the length and width are both 440 what is
makkiz [27]

Answer:

h=123,200

Step-by-step explanation:

First you must in the formula for the pyramid, which is

v=\frac{wlh}{3}

and as far as the question has gave us

V=18069333.33333

LW=440

1.) Plug those numbers into the the equation, which should be:

(18,069,333.33333)= \frac{(440)h}{3}

2.) Then isolate the "h" by dividing both sides by \frac{440}{3}, or multiplying its reciprocal, which is \frac{3}{440}

(\frac{3}{440}) 18,069,333.33333=\frac{440h}{3} (\frac{3}{440} )

3.) Simplify or round the numbers if you need to.

h= 123,200

5 0
3 years ago
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