Given the replacement set {2, 3, 4, 5}, solve 4x – 3 = 2x + 5. GIVING 20 POINTS !!
1 answer:
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The length of CS is 11.0
Explanation:
Given that the length of the tangent AR is 12
The length of SR is 7.7
To find: The length of CS
The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."
Applying the tangent secant theorem, we have,
Rewriting the above equation, we get,
Substituting the values, we get,
Simplifying, we have,
Subtracting both sides by 59.29, we get,
Dividing both sides by 7.7, we have,
Rounding off to the nearest tenth, we get,
Thus, the length of CS is 11.0
Part A:
Let the width of the rectangle be = x inches
As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches
Perimeter is given as = 54 inches
Perimeter =
Equation becomes:
=54
Part B:
Solving the equation we get
Hence, the width of the rectangle is 12 inches
Length = x+3 = 12+3 = 15 inches
Hence, length of the rectangle is 15 inches.