Plz

points l, m, and n are collinear. if lm = 7 and ln = 12, what is a possible value of mn?

There are two possible values: MN=5 or MN=19

Step-by-step explanation:

The points L and N are collinear, so we can visualize them on a right line as in Figure 1.  

First suppose that M is between L and N as in Figure 2. Then we can compute the distance between L and N as LN=LM+MN. Substracting LM from both sides, we obtain that MN=LN-LM=12-7=5.

For the other possibility, suppose that M is not between L and N as in Figure 3. Because LM<LN, it's impossible that M is located further to the right than N. Then M isn't at the right of L. Therefore, M is at the left of L, so L is between M and N, so the distance between M and N is given by MN=ML+LN=LM+LN=7+12=19.

i think it is 18

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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