Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
Total inner angles add up to 720 because its a hexagon. so,
160 + 108 + 113 + 132+ 75+ x = 720
answer should be : 132°
Answer:
x=3
Step-by-step explanation:
We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.
First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x
Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180
180-45x+25x+57+x=180
237 - 19x = 180
57 = 19x
x=3
Let me know if you need any further explanation.
First find the value or (DEA)
For this you will have to use the Pythagorean theory,

C is mainly the hypotenuse,
Meaning you either want to find A or B,
Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,
Then 16 will be A or B, in this case it will be A,
To find a you must first move A to the other side by doing the opposite,

Now plug in the values,



Now just find the square root of both factors,

The value of (DEA) is,

Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,

Now plug in the value



Now find the square root of both factors,


The value of (d) is (8)
Hope this helped
:D