<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
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<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
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<em>b is negative, so −b is positive.</em>
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<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
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<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
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<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
Answer:
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
Substitute,
Inverse operations,
Simplify,
The correct answer among the choices listed is option C. The statement that is not true about corresponding sides is that they are connected by a vertex. Corresponding sides are not connected, they are separate parts in similar polygons.
72/75 in the simplist form is a 24/25 as 3 is the only the number that divides into them both for an whole answer
It equals 3/16 because I first multiplied the first to fractions together and I know that negative times a positive is negative so we would get a negative and I also multiplied the 2 to get -9/40 and then multiplied -5/6 to -9/40 to get the answer of 3/16!
