Answer:
-5/12
Step-by-step explanation:
Let's solve your equation step-by-step.
1
/3 = n + 3
/4
Step 1: Flip the equation.
n + 3
/4 = 1/
3
Step 2: Subtract 3/4 from both sides.
n+ 3
/4 − 3/4 = 1/
3 − 3
/4
n= −5
/12
Factors of 30: 1,2,3,5,6,10,15,30
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN