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bonufazy [111]
3 years ago
15

(PLS HELP?) Quadrilateral WXYZ is a rectangle. The perimeter of triangle XYZ=24, XY+YZ=5x-1, and XZ=13-x. Find the length of WY.

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
P_{\Delta XYZ}=24;\ |XY|+|YZ|=5x-1;\ |XZ|=13-x\\\\P_{\Delta XYZ}=|XY|+|YZ|+|XZ|\\\\subtitute\\\\24=(5x-1)+(13-x)\\\\5x-1+13-x=24\\\\4x+12=24\ \ \ |subtract\ 12\ from\ both\ sides\\\\4x=12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=3\\\\WXYZ\ is\ a\ rectangle\ therefore\ |WY|=|XZ|\\\\|WY|=13-x\\\\Answer:\boxed{|WY|=13-3=10}
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timofeeve [1]
An arithmetic series is a pattern of a series of numbers with same difference. First, let's find the difference:

16 -5 = 11
27- 16 = 11

So, the arithmetic series is obtained by adding 11 to every previous number. The formula for an arithmetic series is

An = A1 + (n - 1)d

where An is the nth term in the series, A1 is the 1st term in the series, n is the number of terms in the series and d is the difference. Hence,

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Thus, the 23rd term is 247.
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3 years ago
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4 years ago
How do I solve this problem
Ronch [10]

\overline{LK}\cong\overline{MK}\\LK=MK=7x-10\\KN=x+3\\MN=9x-11\\KJ=28\\\\MN=MK+KN\\\text{therefore we have the equation:}\\9x-11=(7x-10)+(x+3)\\9x-11=8x-7\ \ \ |+11\\9x=8x+4\ \ \ \ |-8x\\x=4

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Answer:

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Hope this helps!

Step-by-step explanation:

6 0
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