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LenaWriter [7]
3 years ago
10

Lucy has decided to go on a vacation for five days and she has up to $2,500 to spend. Her plane ticket cost $367 and her hotel r

oom for all five days cost $435. Lucy wants to know how much more money she has to spend on food, entertainment and souvenirs. If m is the amount of money Lucy has to spend on food, entertainment and souvenirs, which inequality best represents the situation?
m−367−435≤2500m

m−367−435≥2500

m+367+435≤2500

m+367+435≥2500
Mathematics
2 answers:
Savatey [412]3 years ago
8 0
The answer to your question would be the third option
Softa [21]3 years ago
5 0
I believe thats the third oneofwwhat do
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Answer:

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4 0
2 years ago

rewona [7]
X = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

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Add 10 to both sides:
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Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
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Step-by-step explanation:

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