This problem is solved better well when given the drawing or the figure. It may have been given and you forgot to attach it in the question. However, so that we can solve this now, I drew the figure on my own (see the attached pic).
We can see from the figure that two parallel lines are intersected by a straight line. This type of scenario creates special angles. Angle PXY and angle RYX are called alternate interior angles since they are on the interior opposite sides of the cut.
By virtue of alternating interior angles, angle PXY and angle RYX are congruent hence:
m∠RYX = m∠PXY
m∠RYX = 64.36°
Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
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<u>Geometric sequence</u>
General form of a geometric sequence:
(where a is the first term and r is the common ratio)
Given:
Therefore:
<u>Sum of the first n terms of a geometric series</u>:
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula: