Answer:
Step-by-step explanation:
Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.
So that;
NR ≅ OP (property of a regular polygon)
PM ≅ RM (half of the distance across flats of a polygon)
NM ≅ OM (half of the distance across flats of a polygon)
<NMR ≅ <PMO (vertically opposite angles)
<NRM ≅ <OPM (alternate angle property)
<RNM ≅ <POM (alternate angle property)
This therefore proves that: ΔNRM = ΔOPM
The first one is the same amount of points
The reasoning of Frank is not correct. The value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place instead of being 10 times.
In the question, we are given the number 0.555.
We can write it as:-
0.555 = 0.500 + 0.050 + 0.005
0.500 is the value of tenths place
0.050 is the value of hundredths place
0.005 is the value of thousandths place
We know that,
0.050*(1/10) = 0.050/10 = 0.005
Hence, the value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place.
To learn more about thousandths place, here:-
brainly.com/question/21467438
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The amount of water needed to fill the swimming pool completely is 864 cubic meters.
Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.
"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.
As we know, the swimming pool is in cubic shape.
So, we will find the volume of cube using the formula V=l×b×h.
Here, l=12m, b=12m and h=m.
Now, we want to substitute the values in the formula, we get
V=12m×12m×6m
V=864m³
Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.
Learn more about the volume of cube from here brainly.com/question/1972490
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