Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.

2. Line MK is the perpendicular bisector of LN.

3. ML ≅ MP

4. ML ≅ MN

Step-by-step explanation:

To prove that ΔLMP ≅ ΔNMP by HL.

The second option or statement states that :

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

Statement 3 and 4 says that

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

Thus, the correct answer  - option 2, 3, and 4.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.