To solve the problem, we need to use the relation between the angles to find a relation involving x. Then we need to solve for x and use that value to determine the measure of the desired angle.
The diagram shows you ...
... ∠KIJ + ∠JIH = ∠KIH
The problem statement tells you ∠KIJ = ∠JIH, so we can substitute ∠JIH in the above equation to get
... ∠JIH + ∠JIH = ∠KIH
... (4x+3) + (4x+3) = (12x)
... 8x +6 = 12x
... 6 = 4x . . . . . . . subtract 8x
Since we want to know the value of 12x, we can go directly there
... 18 = 12x . . . . . . multiply the above equation by 3
m∠KIH = 18°
Again set a proportion
x/4=35.25/1
=x=4(35.25)
x=141
Therefore the boat traveled 141 kilometres.
The answer is C.
Mean: 52.2 because its the average of all the numbers
Range: 2 because (60-58)
Median: 53 because its in the middle of all the numbers
Mode : None
(1) Outcomes
(2) Permutation
(3) Tree Diagram
(4) Counting Principle
(5) Combination
(6) Factorial
(7) Addition Principle of Counting
(8) Multiplication Principle of Counting
<em>Hope this helps</em>
<em>-Amelia The Unknown</em>
