3 years ago

2 figures are blank if one can be obtained from the other by a series of rotations, reflections, or trnaslations

Mathematics

1 answer:

kodGreya [7K]3 years ago

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3 years ago

Find the width of a rectangular prism with a surface area of 250 square cm, a height of 5 cm, and a length of 10 cm. 15 cm 50 cm

oksian1 [2.3K]

Let, the width = w

We know, A = 2(lw + wh +hl )
250 = 2(10w + 5w + 50)
250 = 2(15w + 50)
250 = 30w + 100
30w = 250 - 100
w = 150/30
w = 5

In short, Your Answer would be Option C) 5 cm

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Alex73 [517]

$\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}$

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3 years ago

Geometry math question no Guessing and Please show work

MAXImum [283]

If the point P(x, y) partitions the segment AB in the ratio 1 : 1, then the point P is midpoint of segment AB.

The formula of a midpoint of segment:

$A(x_A;\ y_A),\ B(x_B,\ y_B)\\\\P_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have:

$A(13,\ 1)\to x_A=13,\ y_A=1\\B(-5,\ -3)\to x_B=-5,\ y_B-3\\\\P\left(\dfrac{13+(-5)}{2};\ \dfrac{1+(-3)}{2}\right)\to P\left(\dfrac{8}{2};\ \dfrac{-2}{2}\right)\to P(4,\ -1)$

Answer: C. (4, -1)

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3 years ago