Answer:
Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.
Step-by-step explanation:
- Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
- With the reflexive property, we know side AC ≅ AC.
- Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.
The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>
The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
![S_n = a\frac{1 - r^n}{1 - r}](https://tex.z-dn.net/?f=S_n%20%3D%20a%5Cfrac%7B1%20-%20r%5En%7D%7B1%20-%20r%7D)
This gives
![S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20%5Cfrac%7B%281%20-%20%28-2%29%5E5%7D%7B1%20%2B%202%7D)
Evaluate
![S_n = \frac{1}{2} * \frac{33)}{3}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20%5Cfrac%7B33%29%7D%7B3%7D)
Evaluate
![S_n =\frac{11}{2}](https://tex.z-dn.net/?f=S_n%20%3D%5Cfrac%7B11%7D%7B2%7D)
Hence, the sum of the first five terms is 11/2
Read more about series at:
brainly.com/question/11346378
#SPJ1
Answer:
Answer: D (3 or 4)
Step-by-step explanation: