Answer:

Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence
So:
becomes

Cross Multiply:

Open Brackets


Collect Like Terms


Solve for k


4 i
I is the square root of negative one
Answer:
A = a^2
Step-by-step explanation:
The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.
<h3>What are
similar triangles?</h3>
Two triangles are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.
From the image shown, if the triangles are similar, hence:
AB / DE = AC / DF = BC / EF
Hence:
5.6 / 4 = 4.9 / 3.5 ≠ 2.4 / 1.5
1.4 = 1.4 ≠ 1.6
The ratio of corresponding sides of the triangle are not in the same proportion, hence they are not similar.
Find out more on similar triangles at: brainly.com/question/2644832
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