Addition and multiplication
What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.
From here, use the transitive property
We combine these two statements
into the following
WX = YZ
So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.
Through similar logic, we can chain together
to get VW = XY
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Consequently this means VW, WX, XY, and YZ are all the same length
Let's call that length m.
m = length of segment VW = length of WX = etc etc
This means,
VY = VW+WX+XY = m+m+m = 3m
and
WZ = WX+XY+YZ = m+m+m = 3m
Both VY and WZ are exactly 3m units long, therefore, VY = WZ
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number cube:
A number cube is a dice, which has six sides, numbered 1 to 6.
P(4)
One the sides is a 4, thus:
P(not a 2)
Of the 6 sides, one is a 2, and the other 5 are not 2. So
P(3 or 5)
One sides is 3, other is 5, 1 + 1 = 2. So
Answer:
<h3>
f(x) = -²/₄₉(x - 2)² + 4</h3>
Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex is (2, 4) so p = 2, q = 4
so:
f(x) = a(x - 2)² + 4
the parabola goes through the point (-5, 2) so x=-5, f(x)=2
2 = a(-5-2)² + 4
- 2 = a(49)
a = -²/₄₉
Therefore the equation of the parabola in vertex form:
f(x) = -²/₄₉(x - 2)² + 4
