Is ∆LMP≅∆NMP by HL? If so, which legs allow the use of HL?

Step-by-step explanation:

For the 2 triangles to be ≅by HL we need the hypothenuse and pair of legs to be congruent.

We know for sure that we have a pair of legs ≅

the legs MP≅MP by reflexive propriety ( is congruent with itself)

But we do not know from the picture that the hypothenuses are ≅

in ΔLMP the  hypothenuse is LM

inΔNMP the hypothenuse is NM

So unless is given that LM si congruent to MN the Δs are not ≅ by HL theorem

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.