The measure of the interior angle at vertex C is D. 144.
<h3>How to calculate the angle?</h3>
Based on the information given, the angle will be calculated thus:
8x + 8x + 8x + 3x + 3x = (5 - 2) × 180
30x = 540
Divide both side by 30
30x/30 = 540/30
x = 18
Therefore, at vertex C, we have 8x. This will be:
= 8x
= 8 × 18
= 144
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Step-by-step explanation:
in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.
a2 = 20
a5 = 1280 = a2×x×x×x = a2×x³ = 20x³
64 = x³
x = 4
=> a1 = 5
therefore
an = an-1×4 =

n > 1
Answer:

Step-by-step explanation:
=> (x-1)(x-1)
<u><em>Using FOIL</em></u>
=> 
=> 
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer:
its 4
Step-by-step explanation:
a 1 = 3 , a n = a n - 1 + 2
because if you aply this to the shapes that you see at problem 21 you will see that it meaches them