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Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.


Answer:
184.8 cubic cm
Step-by-step explanation:
The formula for the volume of a pyramid is
V = (1/3)(B)(h) where B is the area of the base, and h is the height
We are given B = 44 cm² andh = 12.6cm
Plug them into the formula and simplify...(I'm assuming you are allowed to use a calculator for these problems)
V = (1/3)(44cm²)(12.6cm)
<h2> V = 184.8 cm³ or 184.8 cubic cm</h2><h2 />
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➷ Since vertical angles are equal, we know this:
3x + 50 = 6x - 10
Now we just need to solve for x.
Subtract 3x from both sides:
50 = 3x - 10
Add 10 to both sides:
60 = 3x
Divide both sides by 3:
x = 20
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➶ Hope This Helps You!
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➶ Have A Great Day ^-^
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