Let G be some point on the diagonal line away from point E.
Angle DEG represents angle 1.
We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.
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Extra side notes:
If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.
If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.
Answer:
Yeah you are correct
Step-by-step explanation:
Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
The answer is 59,375 there hope this helps
Answer:
78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.
Step-by-step explanation:
The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.
then two trianglular sides with both having a base of 8 and height of 3
then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.
Now we add each face up.
rectangular base = 3x8 = 24
2 triangular sides = 2(.5*8*3) = 24
2 rectangular roof pieces = 2(5*3) = 30
Now add it all up
24+24+30 = 78
