For question 4, 
Question 5. Option a and question 6. Option j
Step-by-step explanation:
Step 1:
The three basic formula needed to solve these questions are:

Step 2:
Using the above formula, we solve the following values









Step 3:
For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.

SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.
Step 4:
For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.

SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.
Answer:
= 70 Meters
Step-by-step explanation:
We can use the sine rule as follows:
Angle ABC=180-(70.5+38.833)
=70.667°
Using the sine rule and sides AB, AC and angles ABC and ACB:
b/Sin B=c/Sin C
Replacing with the values above we get:
AC/Sin ABC= AB/Sin ACB
105.6/Sin 70.667=AB/Sin 38.833
AB=(105.6 Sin 38.833)/Sin 70.667
=70.17 meters
The distance between the two points to the nearest meter is 70 meters
The segment bisector of line JK would be L since it passes through M
How to find JM is that you would have to solve 3x+15=8x+25 to get x and once you find x you just plug it into the equation for JM, 3x+15
3x+15=8x+25 (subtract 8x on both sides)
-5x+15=25 (subtract 15 on both sides)
-5x=10 (Divide on both sides)
x=-2
Plug that in:
3(-2)+15
-6+15
JM=9
Answer:
The reason is explained below.
Step-by-step explanation:
Partition means to separate or to divide. A line segment can be partitioned into smaller segments which are compared as ratios.
The ratio of 1:3 shows that the segment will actually be divided into 4 equal sections and finding half the length of the directed line segment implies that the line segment divides in the ratio 1:1 i.e the segment will actually be divided into 2 equal sections.
Hence, partitioning a directed line segment into a ratio of 1:3 is not the same as finding half the length of the directed line segment