Question

Find all the missing measurement​

Answer 1

Answer:

m = 6

n = 9/2 = 4.5

Step-by-step explanation:

we are dealing with similar triangles, and you need to find the scaling factor from small to large (or vice versa).

so, the triangle with 2 and 3 as sides turns into the larger triangle with 4+2 and m+3 as sides.

so, what is the scaling factor to go from 2 to 4+2 (=6) ? the scaling factor is 3.

so, (m + 3) = 3×3

m + 3 = 9

m = 6

and now we are further growing into the large triangle.

that means the right side goes from 6 to 6+3 = 9.

the factor to go from 6 to 9 is 9/6 = 3/2.

so, n + 6 + 3 = 3/2 × (6 + 3)

n + 9 = 3/2 × 9 = 27/2

2n + 18 = 27

2n = 9

n = 9/2