The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

Then we can conclude that:

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.
Let's use an example:
On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

The sum of the remote interior angles is equal to the external angle.
To find the area of a <em>rectangle</em>, we multiply its length by its width. A square is a special case of a rectangle where all of the sides have the same length, so what we're really doing is taking the side length and multiplying it by itself. Fittingly, we call the process of multiplying a number by itself <em>squaring </em>that number. For example, "3 squared," - written as 3² - gives us 3 x 3 = 9, 4² gives us 4 x 4 = 16, and hopefully you get the idea from there.
Here, a square with a side length of 6.25 feet would have any area of (6.25)² <em>square feet</em> (because area takes up <em>space, </em>we can't measure it with length alone - we need to use something else that takes up space, and squares are the simplest type of shape for the job).
Doing the calculation, we find that this is (6.25)(6.25) = 39.025 square feet.
Answer:
- Cos 45=6/x
x=6/cos 45=6√2
x=6√2
tan 45=y/6
y=tan45 ×6
y=6
2.
sin 60=y/10
y=sin60×10
y=5√3
again
Cos 60=x/10
x=½×10
x=5
3.
Sin 45=x/5
x=1/√2×5 or
x=5√2/2
again
y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]
4.
Sin 30=8/x
½×x=8
x=8*2
x=16
again
cos 30= y/x
√3/2×16=y
y=8√3
5.
sin 60=7/x
x=7/[√3/2]
x=14/√3 or 14√3/3
again
cos 60=y/x
½×14√3/3=y
7√3/2=y
y=7√3/2
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Answer:
You would work 5 hours a day
Answer:
A. h=3v/b
Step-by-step explanation:
v=1/3bh
1) divide by b
v/b=1/3h
2) multiply reciprical
3v/b=h
h=3v/b