Use the diagram below to find "x".

Question

04-01-2022
Mathematics

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Use the diagram below to find "x".

Sagot :

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AshVel AshVel · Answer 1 · 2022-01-04T15:22:52-05:00

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.

Step-by-step explanation:

Sagot :

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