50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
2 answers:
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Answer:
CB = 5,
Step-by-step explanation:
Assuming that the marks next to angle D mean that , then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so .