6. The lengths of two tangent lines to a circle are equal, which can be proved using similar triangles. The perimeter is 2*(3+2+5)=10.
14. c=40 degrees, since c and the given 40 angle correspond to the same arc on the circle. b=40, since b and the given angle are alternate interior angles of two parallel lines. d=180-40-40=100 degrees. a=180-d=180-100=80 degrees.
18. a is two times the given angle according to the inscribed angle theorem. a=2*20=40. b=180-a=140. c=90 since the tangent line is perpendicular to the diameter of the circle.
19. b=85, a=95. Connect the two points on the circle near 45 degrees on the diagram. b is the sum of the two angles formed (b is the exterior angle of the small triangle), and the sum is half the central angles they correspond to, which is 360-145-45=170. So b=170/2=85, and a=180-85=95 degrees.
20. Use power of a triangle. 5*(10+5)=6(6+x), x=6.5.
Answer:
y=9 7/15
Step-by-step explanation:
y + 3 7/15 = 12 14/15 - 8/15
y + 3 7/15 = 12 14/15
y + 3 7/15 = 12 14/15
- 3 7/15 - 3 7/15
y = 9 7/15
Answer:
Step-by-step explanation:
1) x - 21x = 5
x = x * 1
21x = x * 21
GCF = x
x - 21x = 5
x*(1 -21) = 5
x * (-20) = 5
-20x = 5
x =5/-20
x = -1/4
2) 6n² = 6 * n * n
30n = 6 * 5 * n
GCF = 6*n = 6n
6n² + 30n = 0
6n*(n + 5 ) = 0
6n = 0 or n + 5 = 0
n = 0 n = -5
n = 0 or -5
Z = -5. This sentence is used to make up for the extra characters needed.
