![Mathematics](/tpl/images/cats/mat.png)
There are 38 Cube houses. Each house could hold 1,000 unit cubes that are1 meter by 1 meter by 1 meter. Describe the dimensions of a cube house using unit cubes. Remember the edges of a cube are all the same length.
![answer](/tpl/images/cats/otvet.png)
![Answer](/tpl/images/cats/otvet.png)
the length of o'p' is .
step-by-step explanation:
it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.
the center of dilation is origin and the scale factor is 1.5.
in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.
the scale factor is defined as
the scale factor is 1.5.
multiply both sides by op.
note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.
therefore length of o'p' is .
![Answer](/tpl/images/cats/otvet.png)
c. x=2.4cm
step-by-step explanation:
similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.
a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
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