Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².
<h3>What is Pythagorean theorem?</h3>
Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.
The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer: 6 .
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Explanation:
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To cover the triangle shown in the figure, we consider the height of the triangle (8 ft tall) and the length of the base (24 ft wide).
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Since we are given that this is a "frame", this is a rectangular frame. The problems asks, how many (minimum number of) 8 ft x <u>4</u> ft. sheets are needed to cover the entire frame?
Since the entire frame is 8 ft. x <u>24</u> ft. , The answer would be "6", since:
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24 ft ÷ 4 ft = 24 ft / 4 ft = 24 / 4 = 6 .
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Step-by-step explanation:
Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.
First for y = -2x + 1
Since the line has to be parallel to y = -2x + 1
the slopes would be the same.
so, so far the equation would be
y = -2x + b
now we substitute (5,2) into the equation
2 = -2(5) + b
2 = -10 + b (Add 10 to both sides of the equation)
+10 +10
12 = b
Now that we solved for b
The equation would be
y = -2x + 12
^^ This equation is parallel to y = -2x + 1
Now to solve for an equation parallel to y = 2x + 1
Both equations would have the same slope
So far we would have
y = 2x + b
Now we solve for be by substituting the point (5,2)
2 = 2(5) + b
2 = 10 + b (subtract 10 from both sides)
-10 -10
-8 = b
After solving for b
The equation is
y = 2x - 8
This equation is parallel to y = 2x + 1
The answer is C. Since 414 is an even number, it is divisible by 2. Since 115 ends in 5, it is divisible by 5. And 273 is divisible by 3 (if you add all the digits and that number is divisible by 3, so it the originals. 2+7+3=12 12/3=4)
Answer:
My answer is 8. I just rounded if you don't want to round just go with 7.5.