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rodikova [14]
3 years ago
8

Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 15

0 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to answer a similar question.

We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.

From the image attached, we can see the lengths of the sides, hence we can find the values of x.

\frac{JN}{AE}=\frac{LM}{CD}\\  \\\frac{4.8}{4}=\frac{x}{3}\\  \\1.2=x/3\\\\x=3.6

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A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
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Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


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3 years ago
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Step-by-step explanation:

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