Answer: The common ratio is -1/3
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Work Shown:
Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.
r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3
This means you multiply each term by -1/3 to get the next term
For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9
Based on the CPCTC theorem, the congruences that are true about the given triangles are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
<h3>What is the CPCTC Theorem?</h3>
According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.
Given that triangles JKL and RST are congruent to each other, therefore:
∠J ≅ ∠R
∠K ≅ ∠S
∠L ≅ ∠T
JK ≅ RS
KL ≅ ST
JL ≅ RT
Therefore, the congruences that would be true by CPCTC are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
#SPJ1
<h2>sum of a triangle= 180°</h2>
- 63+56=119
- 180-119=61
- ans=61°
Answer:
Option C is correct.
Step-by-step explanation:
We are given the expression:

The value of a =5 and k = -2
Putting the values and solving

Option C is correct.