Find the value of x and y in the rectangle below.

x=2 and y=2

2x or 2x2=4 + y or (2) = 6 which is what you would need to equal the parallel side of 6.

y=2 because 5 times x = 5 times 2 which equals 10.

4 times y = 4 times 2 which equals 8 and 10 + 8 = 18 which is what the parallel side of 18 would be .

Opposite sides are equal so set up the equations 6=2x+y and 18=5x+4y. This is called a system of equations and can be solved by substitution. Solve for y in 6=2x+y. This becomes 6-2x=y. Substitute this equation into the other one to solve. 18=5x+(-2x+6). Now solve for x which will equal to 4. Now substitute x=4 to either equation to find y. 6=2(4) +y will give you y=-2.

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step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.