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3 years ago

Translate the image by (x+4, y - 6)

Mathematics

1 answer:

irinina [24]3 years ago

7 0

A’ = (2, -2)
B’ = (4, -16)
C’ = (1, -1)

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Is 0.09 less than half?

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Step-by-step explanation:

13.

$1.\overline{52}\\$ = 1.525252...

Let x = 1.525252...

10x = 15.2525252....

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14.

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4x - 8x = - 26 - 10

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15.

Given breadth of a rectangle is ( 2/3) its length.

Let the length be x

Therefore, breadth = ( 2 /3) of x

$= \frac{2}{3} \times x\\\\=\frac{2}{3}x$

Given perimeter = 40m

Perimeter of a rectangle = 2( length + breadth)

$40 = 2 (x + \frac{2}{3}x )\\\\\frac{40}{2} = \frac{2}{2}(x + \frac{2}{3}x)\\\\20 = x + \frac{2}{3}x\\\\20 = \frac{3x + 2x}{3}\\\\20 \times 3 = 5x \\\\x = \frac{60}{5}\\\\x = 12\\\\Therefore, Length = x = 12 \ m \ and \ breadth = \frac{2}{3}x = \frac{2}{3} \times 12 = 8 \ m$

16.

Sum of the angles of a triangle = 180°

Given ratio = 2 : 3 : 4

Sum of the ratio = 9

Therefore,

$first \ angle = \frac{2}{9} \times 180 = 2 \times 20 = 40 ^\circ\\\\Second \ angle = \frac{3}{9} \times 180 = 3 \times 20 = 60^\circ\\\\Third angle = \frac{4}{9} \times 180 = 4 \times 20 = 80^\circ$

17.

Sum of interior angles of a polygon with n sides = ( n - 2) x 180°

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That is ,

x + 125 + 125 + 88 + 60 = 540°

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x = 142°

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