Answer:
x = 16
Step-by-step explanation:
Given a tangent and a secant from an external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent, that is
9(9 + x) = 15²
9(9 + x) = 225 ( divide both sides by 9 )
9 + x = 25 ( subtract 9 from both sides )
x = 16
Do you have A picture of the line?
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
The given inequality is:
6m + 2 > - 27
Subtract 2 to both sides of the inequality
6m + 2 - 2 > -27 - 2
6m > -29
Divide both sides by 6
For the inequality 8(p-6)>4(p-4)
Expand the inequality using the distributive rule
8p - 48 > 4p - 16
Collect like terms
8p - 4p > -16 + 48
4p > 32
Divide both sides of the inequality 4
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
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