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irga5000 [103]
2 years ago
11

Find the coordinate of you prime after a Glide reflection of the triangle: translation 3 units down and 2 units right then a ref

lection across the y- axis
​

Mathematics
1 answer:
Dmitry [639]2 years ago
7 0

Answer: T' =  (2, 1)      U' = (2, -1)       S' = (-1, 0)

<u>Step-by-step explanation:</u>

T = (-4, 4)         U = (-4, 2)         S = (-1, 3)

down 3 units means subtract 3 from the y-coordinate

new T = (-4, 1)          new U = (-4, -1)         new S = (-1, 0)

right 2 units means add 2 to the x-coordinate

newer T = (-2, 1)           newer U = (-2, -1)        newer S = (1, 0)

reflection over y-axis means multiply x by -1

T' =  (2, 1)      U' = (2, -1)       S' = (-1, 0)

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What would be the next number in the pattered 64, 16,4,1
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Answer:

The next number would be 256

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3 years ago
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Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJ
dolphi86 [110]

Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.

SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.

For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:

<u>Slope of KL</u>:

slope = \frac{y_{K} - y_{L}  }{x_{K} - x_{L} }

slope = \frac{3-1}{2-4}

slope = -1

<u>Slope of MN</u>:

slope = \frac{y_{N} - y_{M}  }{x_{N} - x_{M} }

slope = \frac{1-5}{7-3}

slope = -1

Since the slopes of KL and MN are the <u>same</u> and the angle is <u>congruent</u>, we can conclude that ΔJKL~ΔJMN.

5 0
2 years ago
Find the 95th term of the arithmetic sequence 4, -5, -14
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Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

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Since the triangles are similar then corresponding angles are congruent

∠B and ∠Q are corresponding angles, hence

6v - 5 = 5v + 4 ( subtract 5v from both sides )

v - 5 = 4 ( add 5 to both sides )

v = 9


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3 years ago
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Answer:

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