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determine whether y varies directly with x. if so, find the constant of variation k and write the equation.

x y
7 11
8 13
9 15
10 17

Not a direct variation

Step-by-step explanation:

The formula for direct variation is

y =kx

Rewriting

y/x =k

Substituting points in

11/7 =k =1.571428

13/8 =k =1.625

Since the values of k are not equal, this is not a direct variation

∠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.