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3 years ago

What are the angle relationship(s) that must be formed around a single intersection

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

Opposite (or in The US, vertical) angles are congruent.

Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).

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ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th

almond37 [142]

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

$A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}$

The area of the square ABCD is:

$A_s =x*x =x^2$

Thus, the probability that a random point lies in the triangle MCN is:

$P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125$

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.

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Answer:

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A.
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