Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
Answer:
<h2>x = 39.5</h2>
Step-by-step explanation:
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Question:
A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random. what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?
Answer:
The probability of getting an orange and carrots is 
Step-by-step explanation:
The fruits offered in cafeteria = oranges, apples, or bananas.
The vegetables offered in cafeteria = peas, green beans, or carrots.
There are 3 fruits and 3 vegetables . Therefore the total possible number of outcomes is = 
= 9
Now the probability of getting an orange and carrots =
The possibility is very unlikely to happen
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<span>Question:
</span>------------------------------------<span>
3n - 7 + 2n = 8n + 11
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Combine like terms:
</span>------------------------------------<span>
5n - 7 = 8n + 11
</span>------------------------------------<span>
subtract 8n from both sides:
</span>------------------------------------<span>
-3n - 7 = 11
</span>------------------------------------<span>
Add 7 to both sides
</span>------------------------------------<span>
-3n = 18
</span>------------------------------------
Divide by -3 on both sides:
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n = -6
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Answer: n = -6
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