Answer:
d. 6
Step-by-step explanation:
The product of lengths to the near and far intersection points is the same for both secants:
PB×PA = PD×PC
We can use this relation to solve for x, then use the value of x to find PD.
7×12 = (3x)(7x)
4 = x² . . . . . . . . . divide by 21
2 = x . . . . . . . . . . take the square root
__
PD = 3x = 3·2
PD = 6
I'd say the answer is 5 wins
hope this helps
Answer:
75 degrees
Step-by-step explanation:
Use trigonometry
we are given opposite(27) and hypotenuse(28), so use sin
sin=opp/hyp
sin(x)=27/28
x=arcsin(27/28)
x=74.64111442
The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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-10 x -5 = 50 and -10 + -5 = -15
