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The lines that appear tangent are tangent. What is the value of x, to the nearest tenth.

The Lines That Appear Tangent Are Tangent What Is The Value Of X To The Nearest Tenth class=

Sagot :

s1m1

Answer:

x ≈ 10.7

Step-by-step explanation:

Is given in the picture that x is the radius of the circle.

The radius of a circle and the tangent line to the circle form a right angle, therefore our triangle is a right triangle.

We can  apply the Pythagorean Theorem to find one equation that will have one unknown x.

         (x+12)² = x² +20² , use that (a+b)² = a²+b²+2ab

x²+12²+2·x·12 = x² +20², subtract x² from both sides of the equation

     12² + 24x  = 20², subtract 12² from both sides of the equation

              24x = 20²-12², raise to power and combine like terms

              24x = 256, divide by 24  both sides of the equation

                  x = 10.6666666..., round to the nearest tenth

                 x ≈ 10.7

View image s1m1
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