Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.
<h2>
Answer:
<u><em>
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Step-by-step explanation:
Step 1: Multiply the whole number part (1) by the denominator (8).
1 × 8 = 8
Step 2: Add the product from Step 1 (8) to the numerator (4).
8 + 4 = 12
Step 3: Write that result (12) above the denominator. So,

Step 4: The fraction 
Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
Answer:
x = 30
Step-by-step explanation:
well from the theorem we have

yes i know you could say that the right way is

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)
so
![\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C5%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C6%5B5%5D%3D6%5B%5Cfrac%7Bx%7D%7B6%7D%5D%5C%5C%5C%5C30%3Dx)
Average of eight minutes and twenty seconds to travel from the sun to the earth