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3 years ago

Determine the value of x in the diagram, 108° 72 1080

Mathematics

2 answers:

Sergio [31]3 years ago

7 0

Answer:

Step-by-step explanation:

parallel sides= same angle.

also alternate angles theorem shows that if angles that alternate are the same. 72,108,72,108

DanielleElmas [232]3 years ago

3 0

Im pretty sure the answer is 72

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

sweet-ann [11.9K]

Answer: $25,500

<u>Step-by-step explanation:</u>

The given sequence {1300, 1300+150, ... } provides the following information:

the first term (a₁) = 1300
the difference (d) = 150

We can use the information above to find the explicit rule of the sequence:

$a_n=a_1+d(n-1)\\.\quad =1300+150(n-1)\\.\quad =1300+150n-150\\.\quad =1150+150n$

We can use the explicit rule to find the 12th term (a₁₂)

$a_n=1150+150n\\a_{12}=1150+150(12)\\.\quad =1150+1800\\.\quad =2950$

Next, we can input the first and last term of the sequence into the Sum formula:

$S_n=\dfrac{a_1+a_n}{2}\times n\\\\S_{12}=\dfrac{a_1+a_{12}}{2}\times 12\\\\.\quad =\dfrac{1300+2950}{2}\times 12\\\\.\quad =\dfrac{4250}{2}\times 12\\\\.\quad =2125\times 12\\\\.\quad =25,500$

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