Answer:
<u>The correct answer is C. 66.7</u>
Step-by-step explanation:
1. y varies directly with regard to x
y = 9 and x = 24
If y = 25, what is the value of x?
2. For finding that value of x, first of all, we should understand what happened to y.
If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division
25/9 = 2.777
3. And we should use that same number or value to calculate the new value of x
If x was 24, now the new value of x is 24 * 2.777
24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)
<u>The correct answer is C. 66.7</u>
Answer:
perpendicular bisector
Step-by-step explanation:
sorry if im wrong
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Step-by-step explanation:
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Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2