Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?
1 answer:
Part (a):
We are given that Z is the <span>centroid of triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
In other words:
W is the midpoint of RS
V is the midpoint of RT
We are given that:
RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:
RV = VT
4x + 3 = 2x + 9
4x - 2x = 9 - 3
2x = 6
x = 3
Part (b):
We are given that:
WS = 5x-1
x = 3
Therefore:
WS = 5(3) - 1
WS = 15 - 1 = 14
Part (c):
Since W is the midpoint of RS, therefore RW = WS
We calculated WS = 14
Therefore:
RW = 14
</span>
We are given that Z is the <span>centroid of triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
In other words:
W is the midpoint of RS
V is the midpoint of RT
We are given that:
RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:
RV = VT
4x + 3 = 2x + 9
4x - 2x = 9 - 3
2x = 6
x = 3
Part (b):
We are given that:
WS = 5x-1
x = 3
Therefore:
WS = 5(3) - 1
WS = 15 - 1 = 14
Part (c):
Since W is the midpoint of RS, therefore RW = WS
We calculated WS = 14
Therefore:
RW = 14
</span>
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Answer:
Number of the peoples were satisfied with the career guidance are 300 .
Step-by-step explanation:
Formula
As given
A survey with a two-point scale was conducted in an organization.
It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.
If 2,000 people participated in the survey.
Total value = 2000
Percentage = 85%
Putting all the values in the formula
Part value = 1700
i.e
People not satisfied by the career guidance = 1700
People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .
Putting the values in the above
= 2000 - 1700
= 300
Therefore the number of the peoples were satisfied with the career guidance are 300 .
Answer:
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Step-by-step explanation:
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