None of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
<h3>Properties of an Isosceles Triangle</h3>
- An isosceles triangle has two base angles having equal angle measure.
- The side lengths that are opposite each of the equal base angles are also congruent to each other.
Thus, none of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
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Diameter of a semi circular garden = 18 feet
Radius of the garden :



Thus, the radius of the semi circular fence = 9 feet
We know that :

Which means, the circumference of Mary's semi circular garden :

(pi value = 3.14)


Thus, the circumference of fence needed for the semi circular garden = 28.26 feet
28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3
Thus, Mary's reasoning is correct.
Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.
Given the greatest common divisor and the least common multiple, the least possible value of mn is 896
<h3>How to determine the least possible value of mn?</h3>
The given parameters are:
M and N are positive integers
Greatest common divisor = 8
Least common multiple = 112
As a general rule;
The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers
This means that
mn = Greatest common divisor * Least common multiple
So, we have
mn = 8 * 112
Evaluate
mn = 896
Hence, the least possible value of mn is 896
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Using the Pythagorean identity, the value of the cosine ratio is 
<h3>How to determine the cosine ratio?</h3>
The given parameter is:

By the Pythagorean identity, we have:

So, we have:

This gives

Evaluate

Take LCM

This gives

Take the square root of both sides

Cosine is positive in the fourth quadrant.
So, we have:

Hence, the cosine value is 
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