In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.
1 answer:
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Answer:
Step-by-step explanation:
a). Ratio of OP and RT =
=
=
b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.
OQ =
OQ = 15 cm
c). m∠P = m∠T = 60°
d). m∠Q = m∠S
By applying angle sum theorem in ΔRST,
m∠R + m∠S + m∠T = 180°
26° + m∠S + 60° = 180°
m∠S = 180° - 86°
= 94°
Therefore, m∠Q = m∠S = 94°