Question

10.5 Tangents. Hw 20

Answer 1

Answer:

Refer to step-by-step.

Step-by-step explanation:

1. x = 4

x + 3 = 7

x = 7-3

x = 4

2.  x = 25

We need to use the Pythagorean theorem to find x.

a² + b² = c²

15² + 20² = x²

225 + 400 = x²

652 = x²

√652 = √x²

x = 25

3. x = 12

Line NP and Line QP will have the same measurement.

x = 12

4. x = 29.41

We need to use the Pythagorean theorem to find x.

a² + b² = c²

24² + 17² = x²

576 + 289 = x²

865 = x²

√865 = √x²

x = 29.41

5. NO

We apply the Pythagorean theorem to find if they are tangent.

a² + b² = c²

9² + 40² = 41²

81 + 1600 = 2500

1681 = 2500 NO

6. NO

a² + b² = c²

4² + 12² = 13²

16 + 144 = 169

160 = 169 NO

7. NO

a² + b² = c²

20² + 21² = 28²

400 + 441 = 784

841 = 784 NO

8. YES

a² + b² = c²

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500 YES