Answer:
D
Step-by-step explanation:
The line can be named with small latin letters or with two large latin letters which represent two points lying on the line.
Consider all options:
A. Points V and X lie on the line, so you can name the line as VX (true option)
B. Points W and X lie on the line, so you can name the line as WX (true option)
C. p represents the line (small letter given on the diagram) - (true option)
D. You cannot name the line using point V and line p, so this option is false
The answer is 8km.
1:100,000 = 1.6 miles = 1 kilometer x 8 = 8 km
<h3>
Answer: 40</h3>
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Explanation:
JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.
See the diagram below.
The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)
We know that JN = 60
Let x = JQ and y = QN
The ratio of x to y is x/y and this is 2/1
x/y = 2/1
1*x = y*2
x = 2y
Now use the segment addition postulate
JQ + QN = JN
x + y = 60
2y + y = 60
3y = 60
y = 60/3
y = 20
QN = 20
JQ = 2*y = 2*QN = 2*20 = 40
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We have
JQ = 40 and QN = 20
We see that JQ is twice as larger as QN and that JQ + QN is equal to 60.