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Alona [7]
3 years ago
7

Please help me out! its urgent!

Mathematics
1 answer:
sineoko [7]3 years ago
5 0

Answer:

<em>x = 7.5 cm </em>

Step-by-step explanation:

ΔBCA ~ ΔECD ⇒ the corresponding sides are proportional.

\frac{AC}{DC} = \frac{AB}{DE}

AC = 4 + 6 = 10 cm

\frac{10}{6} = \frac{x+5}{x} ⇔ 10x = 6(x + 5) ⇒ <em>x = 7.5 cm</em>

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A washer and a dryer cost $847 combined. The washer costs $53 less than the dryer. What is the cost of the dryer?
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--------------------------------------------------------------
Define x :
--------------------------------------------------------------
Let the dryer be x.
Dryer = x 
Washer = x -53

--------------------------------------------------------------
Construct Equation :
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The washer and the dryer cost $847
⇒ x + x - 53 = 847

--------------------------------------------------------------
Solve x :
--------------------------------------------------------------
x + x - 53 = 847
2x - 53 = 847
2x = 847 + 53
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x = 450

--------------------------------------------------------------
Find cost of dryer and washer :
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Dryer = x = $450
Washer = x = 450 - 53 = 397

--------------------------------------------------------------
Answer: Dryer = $450
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