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stiv31 [10]
3 years ago
5

What is a possible scale factor for the dilation of the quadrilateral ABCD?

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

\dfrac {1}{2}

Step-by-step explanation:

According to the diagram

if

The center is o

Then Distance from O to B'C'=1

Distance from O to BC=1+1=2

\therefore\sf Ratio\:is\:1:2.

<h3><u>More</u><u> </u><u>to</u><u> </u><u>know</u><u>:</u><u>-</u></h3><h3><u>Formulas</u><u> </u><u>related</u><u> </u><u>to</u><u> </u><u>surface</u><u> </u><u>area</u><u> </u><u>and</u><u> </u><u>volume</u><u>:</u><u>-</u></h3>

\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}

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Equation:     x + x + 6 = 2x = 25
smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

smallest side is    x 
largest size is      x + 6
3rd side is           2x
-----------------------------------
                           4x + 6 = 25 
                                  -6     -6
                             <u>4x</u> = <span><u>19</u>
</span>                             4        4

x = 4.75 is the smallest side


smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

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