May someone help me please :)
2 answers:
<h3>Answer: Similar - AA </h3>
Reason:
We're given these two angle congruences:
These are the blue and red angles marked in the diagram below. Since we have two pairs of congruent angles, we can use the AA similarity theorem to prove the triangles are similar.
Similar triangles have the same shape, but are likely different sizes. Triangles with the same shape indicates the corresponding angles are congruent.
The info that PR = 12 and SU = 3 isn't used or needed. Your teacher may have put that in there as a distraction or filler.
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First term [ a ] = 6.3
Common difference [ d ] = 8.8 - 6.3 = 2.5
Using general term formula,
78.8 = 6.3 + (n-1)*2.5
2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]
n-1 = 29
n = 30
Hence, 78.8 is the 30th term in the arithmetic series.
Common difference [ d ] = 8.8 - 6.3 = 2.5
Using general term formula,
78.8 = 6.3 + (n-1)*2.5
2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]
n-1 = 29
n = 30
Hence, 78.8 is the 30th term in the arithmetic series.