Find the coordinates for the midpoint of the segment with endpoints given

Question 1: Find the coordinates for the midpoint of the segment with endpoints given (5, 6) and (8, 2).

Options:

a) (5, 7);

b) (3/2, 2);

c) (13/2, 4).

Question 2: Find the coordinates for the midpoint of the segment with the endpoints given. (3, 5) and (-2, 0).

Options:

a)      (1/2, 5/2)

b)      (5/2, 1/2)

c)       (1, 5/2)

Question 3: I had 5.6% battery left in my laptop and each hour it is decreasing by -0.8%. How many hours I can use it until the battery is drained or empty?

Question 4: Given the equation 5 + x/12 = - 2 - x + 7:

Part A. Solve the equation 5 + x/12 = - 2 - x + 7. In your final answer, be sure to state the solution and include all of your work.

Part B. Use the values x = 0.5, 0, 1 to prove your solution to the equation 5 + x/12 = - 2 - x + 7. In your final answer, include all of your calculations.

Question 5: A map uses a scale of 1 centimeter = 200 meters. If it is 5 kilometers between two locations, how many centimeters on the map is it?

Options:

a) 2.5 cm b) 40 cm c) 1,000 cm d) 25 cm

Question 6: A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose sides will exceed their base by 5 in. If the perimeter is 100 in., what are the lengths of the three sides? The base is and the equal sides are.