Answer:
A
Step-by-step explanation:
The two angles in the triangle in the question are 58 degrees and 54 degrees.
Three angles in a triangle add up to 180 degrees
58 + 54 + x = 180
112 + x = 180
subtract 112 on both sides
x = 180 - 112 = 68 degrees
Only option A has a triangle that has the same angles, thus triangles are similar.
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Answer:
(tan(theta)-1)^3
= (tan(theta)-1)(tan(theta)-1)(tan(theta)-1)
= (tan^2(theta)-2tan(theta)+1)(tan(theta)-1)
= tan^3(theta)-2tan^2(theta)+tan(theta)-tan^2(theta)+2tan(theta)-1
= tan^3(theta)-3tan^2(theta)+3tan(theta)-1
Hope this helps :)
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
3x = 18 - 3 times girls = # boys = 18
x = 6 - # of girls in the class
