<u>Answer-</u>
<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>
<u>Solution-</u>
From the question,
Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.
So the angle of the second swing = 
Then the angle of third swing = 
So, this follows a Geometric Progression.
a = The initial term = 30
r = Common ratio = 
As we have to find the number swings when the angle swept by the pendulum is less than 1°.
So we have the nth number is the series as 1, applying the formula
Putting the values,
Taking logarithm of both sides,
Therefore, after 76 swings the angle through which it swings less than 1°
Answer of 9 = 7 because those red arcs mean that both of those angles are the same, so if the angle on the right is 7, the angle on the left is 7
Answer of 11 = 60, because this is a equilateral triangle, which means all the sides are the same.
180 - 60 = 120 (180 is in the equation because all interior sides of a triangle add up to 180)
120 divided by 2 = 60
Answer: Choice D
Reason:
Whenever we have two lines cross to form an X shape, the vertical angles are always opposite one another. They do not have to be vertically stacked (as they can be side by side like angles 2 and 4 are). Vertical angles are always congruent.
50 ft. -15 ft. = 35 ft. tall for the antenna Sounds like a trick question don't count the anchor point
Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
