The angle of rotation of triangle ABC to A'B'C is 105°
<h3>How to illustrate the information?</h3>
It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.
Point B is also on the x axis and point B' is in the second quadrant.
In this case, the angle that depicts the second quadrant is 105°.
In conclusion, the correct option is D.
The complete question is:
Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)
Determine the angle of rotation
A. -105 degrees
B. -75 degrees
C. 75 degrees
D. 105 degrees
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Answer:
x = 21
Step-by-step explanation:
Because GJ is a diameter, the angle K is a right angle (90 degrees).
Thus, 4x + 6 = 90, and 4x = 84. Thus, x = 21
We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.
We will use percent increase formula to solve our given problem.
Therefore, the mark-up will be 23% and option 'b' is the correct choice.
Based on the calculations, the ratio of AD to DB is equal to 0.6.
<h3>What is a ratio?</h3>
A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
From the graph, we have:
Length of AD = 1.5
Length of DB = 2.5
Ratio = AD/DB
Ratio = 1.5/2.5
Ratio = 0.6.
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Answer:
6000 pounds
Step-by-step explanation:
