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pogonyaev
2 years ago
7

Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.​

Mathematics
2 answers:
asambeis [7]2 years ago
7 0

Answer:

Yes, because <UVW is congruent to <XVY and <VUW is congruent to <VXY.

Step-by-step explanation:

antoniya [11.8K]2 years ago
5 0

Answer:

Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal

In this problem

m<VXY=m<VUW ------> by corresponding angles

m<XVY=m<UVW -----> is the same angle

therefore

m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent

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yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

  • Chris only has 1 possible seat.
  • Jo has 2 possible seats.
  • Dave, Alex, and Barb have 3 possible seats.
  • Gareth, Fred, and Eddie have 3 possible seats.
  • There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

  • Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
  • Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
  • Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

  • Number of possibilities = 1 × 2 × 6 × 6 × 24
  • Number of possibilities = 1728

Learn more about the factorial function in: brainly.com/question/16674303

4 0
2 years ago
How do i solve this problem?
Dominik [7]

Answer:

Step-by-step explanation:

surface area of one  can 2πrh+2πr²

=2πr(h+r)

≈2×3.14×3/2(4.25+1.5)

≈9.42(5.75)

≈54.165 in²

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=18 cans

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2 years ago
The figure is cute into 12 equal pieces shade 3/4 of the figure
netineya [11]

Shade in 9 boxes

12÷4= 3 (This is 1 fourth)

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6 0
3 years ago
Help me out pls and give me the right answers it a quiz
emmainna [20.7K]

Answer:

A and C

Step-by-step explanation:

B has a solution and D is 0. A and C are the only ones with no solution.

5 0
2 years ago
A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the initial mass and k is a ne
velikii [3]

Answer:

M = 1/0.000121 = 8264.5 years

Step-by-step explanation:

M = − k ∫∞₀ teᵏᵗdt

To obtain this mean life, we'll use integration by parts to integrate the function ∫ teᵏᵗdt

∫udv = uv - ∫ vdu

u = t

du/dt = 1

du = dt

∫ dv = ∫ eᵏᵗdt

v = eᵏᵗ/k

∫udv = ∫ teᵏᵗdt

uv = teᵏᵗ/k

∫ vdu = eᵏᵗ/k

∫ teᵏᵗdt = (teᵏᵗ/k) - ∫eᵏᵗ/k

But, ∫eᵏᵗ/k = (1/k) ∫eᵏᵗ = (1/k²) eᵏᵗ = eᵏᵗ/k²

∫ teᵏᵗdt = (teᵏᵗ/k) - eᵏᵗ/k²

The rest of the calculation is done on paper in the image attached to this question

3 0
3 years ago
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