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Q3) The following figures GUNS and RUNS are parallelograms. Find x and y ​

Q3) The following figures GUNS and RUNS are parallelograms. Find x and y ​-example-1
User Unameuname
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1 Answer

4 votes

Answer:

Let's call the point where the lines GU and NS intersect point X. Because GUNS is a parallelogram, we know that UX = SG and that NX = GS. We can use these relationships to set up a system of equations to solve for x and y.

UX = SG => 3y - 1 = 3x

NX = GS => 18 = 3x + 26

Solving for x first, we substitute 3y - 1 for 3x in the second equation:

18 = 3x + 26

3y - 1 = 18

3y = 19

y = 6.33

Next, we substitute y back into the first equation:

3y - 1 = 3x

19 - 1 = 3x

18 = 3x

x = 6

So x = 6 and y = 6.33.

sorry but the I'm not sure about the answer

User Nsantana
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