What's the difference between
1 answer:
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This can be solved using the angle bisector theorem. Note that line segment AD is the angle bisector of triangle DAB from angle DAB. Therefore, we know that the ratios 
and 
are equal. Solving, we get 
. Cross multiplying, we get 
, and solving this equation we get 
. 10.2 is your answer.
Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
=> equation 1
Second month:
=> equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 ×
2 ×
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
Subtract 16.5 from each side
Divide both sides by 2
Thus, cost of each movie = $4.25.