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Mathematics 22 Online
OpenStudy (anonymous):

Geometry question need help

OpenStudy (anonymous):

HERE IS THE PROBLEM

OpenStudy (anonymous):

Answer is 24 cm.

OpenStudy (anonymous):

From the diagram, we see a tangent line. Thus, it forms a right angle. From this, we know that it is a right triangle and we can use the Pythagorean Theorem. a squared + b squared equals c squared.

OpenStudy (anonymous):

x) Tangent lines are perpendicular to the circle. THen use triangle sum theorem to solve for x by doubling the remaining angle. 180 - 90 - 16.3 = 73.7 x 2 = 147.4º y) 360 - x = y 360 - 147.7 = 212.3 z) Pythagorean Theorem. 7^2 + z^2 = 25^2 49 + z^2 = 625 z^2 = 576 z = 24

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