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A tangent meets with the radius to form a right angle
Thus, we can use Pythagoras' theorem
b^2 = c^2 - a^2
Sub the values in:
b^2 = 5^2 - 3^2
b^2 = 16
Square root for the answer:
b = 4
Thus, the answer is option A.
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We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
x decreased by 60% = (1-0.60)x = 0.40x
x increased by 80% = (1+0.80)x = 1.80x