Answer:
<h2> 0.7</h2>Step-by-step explanation:
A' is everything what is not A
So:
A' = {9, 10, 11, 12, 13, 15, 16}
Number of ways it can happen: |A'| = 7
Total number of outcomes: |Ω| = 10
Probability of an event happening:
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
<u>EXPLANATION</u>
We have the inequality
We can cancel directly to get;
We now divide both sides by 2,
See graph in attachment
