The area of a triangle is 1/2(base)(height) and since this is a right triangle the two legs can be base and height. So the area is 1/2(2x-4)^2 which becomes 1/2(4x^2-16x+16) which is simplified to 2x^2-8x+8. B is the correct answer.
Answer:
∠A=65º
Step-by-step explanation:
- A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
- The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
- Remove parenthesis, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 180, -2x=-50
- Divide by -2, so x=25
Now:
- ∠CAB=(25+40)º=65º
- ∠ABC=[180-6(25)]º=30º
- ∠BCA=[3(25)+10]=85º
Answer: 75 degrees
Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75
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Hence, the sum of a 7-term geometric series is:
-32766.
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Step-by-step explanation:</u></h3>
We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:
On putting the value of a,n and r in the given formula we have:
Hence, the sum of a 7-term geometric series is:
-32766.