Point m lies between points l and n on .
if ln = 12x + 16, what is the length of in units?
16 units
40 units
48 units
64 units

64 units

Step-by-step explanation:

Since, point M lies between points L and N.

∴ LN = LM + MN

⇒ LN = (10x + 8) + (5x - 4)

⇒ LN = 15x + 4

Also it is given that, LN = 12x + 16

Thus, 16x + 4 = 12x + 16

⇒ 4x = 12

⇒ x = 3

So, LN = 12 × 3 + 16

⇒ LN = 64 units

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°