The length of segment 
found using properties of an equilateral triangle and segment addition postulate is 10
<h3>What is segment addition postulate?</h3>
Segment addition postulate states that a line AC contains a point B if we have AB + BC = AC
The sides of ∆PQR are equal to 5, therefore, ∆PQR is an equilateral triangle
According to the mid segment theorem, we have;
RQ || MN
RQ = 0.5 × MN
RP || ON
RP = 0.5 × ON
PQ || MO
PQ = 0.5 × MO
Therefore, from alternate interior angles theorem, we have;
‹PRQ = ‹RPM
‹PQR = ‹QPN
‹QRP = ‹RQO
However, ‹PRQ = ‹PQR = ‹QPR = 60°, which gives;
∆MRP and ∆QPN are equilateral triangles of side length 5
From which we have;
MR = RP = MP = 5
PN = QN = PQ = 5
MN = MP + PN; Segment addition postulate
Therefore;
MN = 5 + 5 = 10
Learn more about segment addition postulate here:
brainly.com/question/1721582
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Answer:
The volume of hemi-sphere is calculated by:
V = (4/6) x pi x radius^3 = (4/6) x pi x 7^3 = 718.38
Hope this helps!
:)
Y=3x-4
There you go my friend. Please consider brainliest
Answer:
When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:
[M -S, M + S]
In this case, we have:
M = 782
S = 52
Then the interval is:
[782 - 52, 782 + 52]
[730, 834]
Then any number between 730 and 834 are possible answers to this question, for example, we can choose:
789 and 801
Answer:
The equation could be used to find the dimensions of the window would be: 
Step-by-step explanation:
as
- The length of a rectangular window is 5 feet more than its width, w.
and
- The area of the window is 36 square feet.
So it means
Therefore, the equation could be used to find the dimensions of the window would be:
