One hundred fifty is what percent of 200?

1 answer:

8 0

$Method\ 1:\\\\\dfrac{150}{200}\cdot100\%=\dfrac{15}{20}\cdot100\%=15\cdot5\%=75\%\\\\Method\ 2:\\\\200\ -\ 100\%\\150\ -\ p\%\\\\cross\ multiply\\\\200\cdot p=150\cdot100\\200p=15,000\ \ \ |divide\ both\ sides\ by\ 200\\\boxed{p=75\ (\%)}$

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How does the orientation of the image of the triangle compare with the orientation of the preimage?

Studentka2010 [4]

The complete question is:

Joni translates a right triangle 2 units down and 4 units to the right. How does the orientation of the image of the triangle compare with the orientation of the preimage?

The orientation (will/will not) be the same.

Answer:

The orientation will be the same

Explanation:

The orientation of a figure is described by the angles of its sides with respect to some cartesian axis system.

The figure is said to be translated.

Translation consits in sliding the figure without changing the orientation: all the angles with respect to the original axis system remain unchanged.

When Joni translates a right triangle 2 units down and 4 units to the right, the triangle is just shifted down and to the right, but the orientation will not change; it will remain the same.

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SCORPION-xisa [38]

This is given by the multinomial coefficient:

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If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter $n$ times, where $n$ is the number of times it shows up in the original word.

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