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
Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and 
teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 
teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and teaspoons of corn starch for 8 servings.
i.e. 5 cups + teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need 
i.e. x cups +
teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is 
So to equal the ratio multiply (1) by 
cups + 
teaspoon = 
servings
cups + teaspoon = 12 servings
On comparing with (2),
The value of x is .
Therefore, The broth do we need is 
cups.
So, Option A is correct.
10 people because all the sisters have the same brother so 7+1+2.
