No they are not in the corresponding angles theorem it states that if and only if two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent. And if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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Formula for Compound Interest
Amount = Principal * (1 + Rate/100)^Time
A = P * (1 + R/100)^T
P = A/((1 + R/100)^T) = 92000/((1 + 4.7/100)^16) = $44120.5503
Answer:
The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full. Using indices An index, or power, is the small floating number that appears after a number or letter. The plural of index is indices. Indices show how many times a number or letter
Step-by-step explanation: