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kompoz [17]
3 years ago
10

Solve for x. The polygons in each pair are similar.

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9

So, the value of x  is equal to 9.

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Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

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y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

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Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?
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|X\cup Y|=|X|+|Y|-|X\cap Y|

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There is a line that includes the point (6,9) and has a slope of 3. What is its equation in
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