<z = 180 - 43
<z = 137
answer
<z = 137 degrees
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
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<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
I believe the number of students they had last year are 360 students i hope this helps.
