Answer:
84
Step-by-step explanation:
because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:
x/48 = 21/12 (multiply both sides by 48)
x = (21/12)· 48
x = 21 ·4
x = 84
Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
<em>Which trig ratio relates "opposite" and "hypotenuse"??</em>
<em>Yes, it is SIN. Thus we can write:</em>
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<em>We can now solve for C:</em>
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<em>Correct answer is A</em>
The difference between 16 and 12 feet is 4 feet, or 48 inches
Answer:
Step-by-step explanation:
For this case we have the following data:
Days to Maturity Dollar Value $ Millions)
20 20
12 30
7 10
5 15
6 10
For this case the definition of weigthed mean is given by:
Where represent the weight of each value and represent the observations (Days to maturity)
Our interest is the number of days so then our weighting variable would be the dollar Value, so then we can find the weighted mean like this: