The answer for this question is 5 because 5 shows up the most. The mode is the number that shows up more often then any other numbers
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: -32
Step-by-step explanation: -14 - 6 - 12 = -32
Answer:
x = 100
Step-by-step explanation:
1. To get rid of the denominator of 5, multiply both sides of the equation to get 5
-40 + x = 60
2. Add 40 on both sides to get the variable x by itself
x = 60 + 40
3. Solve
x = 100
Answer:
350 dollars
Step-by-step explanation:
7 * 5 = 35
10 * 35 = 350
number of hours = number of hours per a day * number of days
total = pay per an hour * number of hours
