Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
The length of vacation or time when each resort cost about the same is 32 days.
<h3>How to calculate the time?</h3>
From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.
The equation to compute the time will be:
1350 + 149x = 900 + 135x
Compute like terms
149x - 135x = 1350 - 900
14x = 450
x = 450/14
x = 32
Learn more about time on:
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Answer:
B
Step-by-step explanation:
