Answer:
x = 6
Step-by-step explanation:
The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.
The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.
i.e,
Length of the midsegment = (1/2) *(Length of base1 + Length of base2)
6x - 24 = (1/2) * (5 + 2x + 7)
12x - 48 = 2x + 12
10x = 60
x=6
∴ x = 6
Answer:
-3
Step-by-step explanation:
The slope of a line is the numerical coefficient in front of the x. The number in front of the x in this case is -3. That's your answer.
Forgot something. The y must be on the other side of the equal sign, and the number in front of it is a 1.
12×12 squared is = 12•144/=
1728
If you need a better explanation just ask in the comments.
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#18. C. 1&3
This is be cause when you simplify to y=.. for 4y=3x and 8y=6x, they both turn out to be y=3/4x. The constant of proportionality is 3/4 because both equations simplify to have that as a constant.
#19. D
Kathy can add less than or equal to 7 books to her suitcase.
To cross off the first two choices(A&B), you input a number above 7 and then multiply it by 1 3/4 . Add it to 37 1/2 and it will be more than 50, meaning it will not fit since the suitcase can’t have more than 50 pounds in it.
To cross off C, you would multiply 1 3/4 by 7 and get 12.25. Add 12.25 to 37 1/2 and you will get 49.75 . This result would mean that you can have less than 7 books or just 7 books, leaving the answer to be D.
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
<h3>What is solution to 1 - cos(6x)?</h3>
Given that; 1 - cos(6x) = ?
First, we rewrite using trig identity
1 - cos(2 × 3x)
Using the double angle identity, { <em>cos2(x) = 1 - 2sin²(x)</em> }
1 - ( 1 - 2sin²(x) )
Eliminate the parentheses
1 - 1 + 2sin²(x)
2sin²(x)
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
Learn more about trig identity here: brainly.com/question/10376944
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