What are all the common factors of 24 and 44
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A. -2.5 - 3.5n
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Please help!
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The measures of ∠ L and ∠ M are 180 degrees - x and 132 degrees - x, respectively.
Since the interior angles of a triangle add up to 180 degrees, we have the following equation:
x + x + L + M = 180 degrees
We also know that the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Therefore, we have the following equation:
L = x + 48 degrees
We can substitute this equation into the first equation to get:
x + x + x + 48 degrees + M = 180 degrees
Combining like terms, we get:
3x + 48 degrees + M = 180 degrees
Subtracting 48 degrees from both sides, we get:
3x + M = 132 degrees
Subtracting x from both sides, we get:
2x + M = 132 degrees - x
We can now substitute this equation into the equation L = x + 48 degrees to get:
L = (132 degrees - x) + 48 degrees
L = 180 degrees - x
Therefore, the measures of ∠ L and ∠ M are 180 degrees - x and 132 degrees - x, respectively.
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Final answer:
In triangle LMN, both angle L and angle M are 24 degrees, calculated using the property of exterior angles in triangles.
Explanation:
From your question, it seems like we're dealing with an issue of triangle geometry and exterior angles in particular. In a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. This means, in triangle LMN, angle ONP (which is 48 degrees) equals to the sum of angle NLM (which is x) and angle LMN (also x).
Therefore, we can make the equation as 2x = 48, where 2x accounts for angles NLM(x) and LMN(x). Solving this equation gives us x = 24. Hence, ∠L (or NLM) = 24 degrees and ∠M (or LMN) = 24 degrees.
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PV = nRT for T
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Answer:
PV+=+nRT divide both sides by nR
PV/NR
Step-by-step explanation:
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pythagorean theorem
a and b are legs, c is hypotonuse (diagonal in this problem)
in square, legs are equal
a=b
a^2+b^2=c^2
diagonal is 34
a=b
a^2+a^2=34^2
2a^2=1156
divide both sides by 2
a^2=578
a=17√2
perimiter is 4 time 1 side for square
p=4 times 17√2
P=68√17 feet
aprox 96.1665 feet
By the Pythagorean Theorem (or knowledge of 45-45-90 triangles) we can find the length of a side from the hypotenuse.
s² + s² = 34²
2s² = 34²
2s² = 1156
s² = 578
s = √578
s ≈ 24.04
There are 4 sides to the square:
P = 4s
P ≈ 96.16
Answer:
About 96 feet
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