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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The equation that can be used to find the number of wolves in the state on January 1 is w - 23 = 84
<h3>How to represent a situation with an equation?</h3>
A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier.
The equation that can be used to find the number of wolves in the state on January 1 can be calculated as follows:
where
- w = number of wolves in the state January 1.
Therefore, the equation to represent the situation is as follows:
w - 23 = 84
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Domain: 3<x<6
Range: 11<y<8
Twelve million, three hundred twelve thousand, eighty-seven
Answer:
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Step-by-step explanation: