470,441 views
15 votes
15 votes
Use the diagram below to find "x".

Use the diagram below to find "x".-example-1
User Ahmad Asjad
by
2.9k points

1 Answer

18 votes
18 votes

Answer:

Firstly, we are given that ∠BOA ≅ ∠BOC and ∠OCB ≅ ∠OAB. Next, we may notice that △COB and △AOB share side OB. Based on the reflexive property, we can prove that OB is congruent to itself, and establish a triangle congruency between △COB and △AOB by the hypotenuse-leg theorem. Now that these two triangles are congruent, corresponding parts of them must also be congruent. Therefore, CB ≅ BA and 24 - 2x = 3x. Now, we can simply solve for x, to reach the answer: 4.8.

Explanation:

User Epple
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.