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kramer
2 years ago
13

Help me please !!!!!

Mathematics
1 answer:
Serga [27]2 years ago
4 0

Answer:

6. B

7. A

8. B

Step-by-step explanation:

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Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
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Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

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Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

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nadezda [96]
<h2>\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}</h2>
  • ∠RSU and ∠USV are complementary angles
  • ∠RSU = (4x – 15)°
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<h2>\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}</h2>
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<h2>\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}</h2>
  • ∠RSU and ∠USV are complementary angles

\sf\implies{ \angle RSU + \angle USV = 90 \degree }

\sf\implies{ (4x-15) + 20 = 90 }

\sf\implies{ 4x-15+20=90}

\sf\implies{4x+5=90}

\sf\implies{4x=90-5}

\sf\implies{4x=85}

\sf\implies{x={\dfrac{85}{4}}}

\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}

<h2>\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}</h2>
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3 years ago
Round 7,954 to the place named.
Luden [163]

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8.0

Step-by-step explanation:

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