Find the length of x

Mathematics

1 answer:

qaws [65]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

Hi there!

<u>1) Prove similarity</u>

The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.

<u>2) Solve for x</u>

Now, we can set up a proportion to solve for x:

$\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3$

Therefore, x is 3 units long.

I hope this helps!

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dolphi86 [110]

Answer: $scale\ factor=230$

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

$actual\ height=2\ cm$

The height of the projected T-rex is:

$projected\ height=4.6\ m$

Make the conversion from meters to centimeters:

$projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm$

Therefore, the scale factor will be:

$scale\ factor=\frac{projected\ heigth}{actual\ heigth}$

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

$scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230$