Which additional information, if true, would to prove that δlmp ≅ δnmp by hl? check all that apply.

1. point p is the midpoint of mk.
2. line mk is the perpendicular bisector of ln.
3. ml ≅ mp
4. ml ≅ mn
5. pk ≅ pk

2. Line MK is the perpendicular bisector of LN.

3. ML ≅ MP

4. ML ≅ MN

Step-by-step explanation:

This 3 statements, if true, would help to prove that ΔLMP ≅ ΔNMP by HL.

Line MK being the perpendicular bisector of LN shows that angles PML and PMN are right angles. Thus, they are congruent.

Statement 3 and 4, shows that ML, MP and MN are congruent. Since ML is congruent to both MP and MN. Thus conclude that triangle ΔLMP ≅ ΔNMP by HL

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.