The figure has 5 sides, so it must be a pentagon. Pentagon’s interior angles sum up to 540°.
Therefore:
132+90+3x=540
222+3x=540
3x=318
x=106
Checking work, where x=106
222+3(106)=540.
So x°=106°
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Answer:
<em>Camera 2nd has to cover the maximum angle, i.e. </em>
.
Step-by-step explanation:
Please have a look at the triangular park represented as a triangle 
with sides
a = 110 ft
b = 158 ft
c = 137 ft
1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.
We can use law of cosines here, to find out the angles 
As per Law of cosine:
Putting the values of a,b and c to find out angles .
<em>Camera 2nd has to cover the maximum angle</em>, i.e. .
The answer is approx. 10.8 per hour.
If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.
