The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
<h3>How to find vertically opposite angles?</h3>
We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
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Answer:
Step 1:
Addition is commutative
A + B = B + A
So the terms can be rearranged
Step 4:
2x(2x - 3) + 5(2x - 3)
Since (2x - 3) is common to both terms,
You can take it common
(2x - 3)(2x + 5)
This can be proved verified using distribution property
(2x - 3)(2x + 5) is the same as
(2x + 5)(2x - 3) because multiplication is commutative