Start by dividing both sides by 2 to get

. Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us

. Rewriting this in exponential form is

. That means that x = 8. Not negative, only positive.
120+120=240
The roof of the house is 240 ft^2
John sold 10 hamburgers and 14 cheeseburgers.
Step-by-step explanation:
Given,
Cost of one hamburger = $3
Cost of one cheeseburger = $3.50
Total burgers sold = 24
Total revenue earned = $79
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=24 Eqn 1
3x+3.50y=79 Eqn 2
Multiplying Eqn 1 by 3

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=14 in Eqn 1

John sold 10 hamburgers and 14 cheeseburgers.
Keywords: linear equation, elimination method
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Answer:
52 units squared
Step-by-step explanation:

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.
Read more about vertical opposite angles at; brainly.com/question/24425517
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