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sweet [91]
2 years ago
11

PLEASE HELP IM STRESSED I CANT THANK YOU :)

Mathematics
1 answer:
PolarNik [594]2 years ago
3 0

Answer:

125

Step-by-step explanation:

In ΔPTO we are given that

∠PTO = 90° (indicated by the right angle)

and ∠TPO = 35°

And we need to find the exterior angle (∠TOB)

If you didn't know this is the rule about exterior angles

Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle

So more specifically for this problem

∠TOB = ∠PTO + ∠TPO

Now that we have created an equation we want to plug in the values that we are given

∠TOB = 90 + 35

90 + 35 = 125

Therefore the answer is 125

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Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to
Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

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formula

Sn = a1(1-r^n)/1-r

Sn = sum

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sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

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