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
-------------
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:
a. √9
Step-by-step explanation:
a. √9 = 3
b.√15 = sqrt(5*3) cannot be simplified
c. √18 = sqrt(9) sqrt(2) = 3 sqrt(2) cannot be simplified farther
d. √20= sqrt(4) sqrt(5) = 2 sqrt(5) cannot be simplified farther
a is the only answer that is a rational number
Answer: 29+2= 31
5x5=25
600-10=590
Step-by-step explanation: Math
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
Answer: The maximum numbers of rose bushes in garden is 16.
Explanation:
It is given that for every 18 mums she plants 12 tulips and for every 9 tulips there are 2 rose bushes.
Let the mums, tulips and roses are defined by M, T and R respectively.
From the given information,




Since it is given that
, we get,





From the above equation 110 mums we need 16.3 roses. So, the number mums exceeds 110 if the roses are 17.
Therefore, the maximum numbers of rose bushes in garden is 16 for which the number of mums cannot exceed 110.