10.5 Tangents. Hw 20

Answer:Refer to step-by-step.Step-by-step explanation:1. x = 4 x + 3 = 7x = 7-3x = 42.  x = 25We need to use the Pythagorean theorem to find x.a² + b² = c²15² + 20² = x²225 + 400 = x²652 = x²√652 = √x²x = 253. x = 12Line NP and Line QP will have the same measurement.x = 124. x = 29.41We need to use the Pythagorean theorem to find x.a² + b² = c²24² + 17² = x²576 + 289 = x²865 = x²√865 = √x²x = 29.415. NOWe apply the Pythagorean theorem to find if they are tangent.a² + b² = c²9² + 40² = 41²81 + 1600 = 25001681 = 2500 NO6. NOa² + b² = c²4² + 12² = 13²16 + 144 = 169160 = 169 NO7. NOa² + b² = c²20² + 21² = 28²400 + 441 = 784841 = 784 NO8. YES a² + b² = c²14² + 48² = 50²196 + 2304 = 25002500 = 2500 YES