Question

Hw 17 arcs and chords

Answer 1

1. 105°

2. 85°

3. 80°

4. 148°

5. 116°

6. 82°

7. 135°

8. x = 7

9. x = 2

10. x = 1

11. x = 10

Explanation:

1. Arc WZ = Arc XY

Arc WZ = 105° Therefore Arc XY = 105°

2. Arc SR = Arc TU

Arc SR = 85° Therefore Arc TU = 85°

3. Arc PQ = Arc QR

Arc PQR = 40° + 40°

Arc PQR = 80°

4. Arc RT = 64°

x = (360° - 64°)/2

x = 296°/2

x = 148°

5. x = 116°

If the chords are congruent to each other, then the arcs are also congruent to each other.

6. x = 82°

If the chords are congruent to each other, then the arcs are also congruent to each other.

7. Arc BC = 90°

x = (360° - 90°)/2

x = 270°/2

x = 135°

8. 2x + 4 = 18

2x = 18 - 4

`(2x)/(2)=(14)/(2)`

x = 7

9. 2x + 1 = 5x - 5

2x - 5x = -5 - 1

`(-3x)/(-3) = (-6)/(-6)`

x = 2

10. 3x + 16 = 12x + 7

3x - 12x = 7 - 16

`(-9x)/(-9)=(-9)/(-9)`

x = 1

11. 3x - 11 = x + 9

3x - x = 9 + 11

`(2x)/(2)=(20)/(2)`

x = 10