Answer:

Step-by-step explanation:
we know that

----> 
see the attached figure to better understand the problem
Triangles ABD and BCD are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so

substitute the given values



simplify

Answer:
Yes, lines CD & AB are perpendicular
Step-by-step explanation:
AB slope: y = -12/8x + 7
CD slope: y = 6/9x - 6
Once the slopes are simplified:
AB: -3/2
CD: 2/3
Hope this helps!
Answer: 10
Step-by-step explanation:
see attached picture
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<h3>Answer = -3/2</h3>
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<h3>Known</h3>
x1 = 2
y1 = 1.5
x2 = 4
y2 = 0
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<h3>Question</h3>
the slope = gradient (m)
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<h3>Way to do </h3>

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<h3>Note</h3>
•Formula of the slope (m)

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The arithmetic sequence with the given condition is determined recursively by

So we have



and so on with the general pattern

This means the 72nd term in the sequence is

so the answer is B.