Answer:
B.
Step-by-step explanation:
<h3>
Answer: A) 57</h3>
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Explanation:
For any convex polygon, the sum of the exterior angles is always 360 degrees.
The exterior angles (5x+12), (10x-37) and (9x+1) add to 360. Use this to solve for x.
(5x+12)+(10x-37)+(9x+1) = 360
(5x+10x+9x) + (12-37+1) = 360
24x-24 = 360
24x = 360+24
24x = 384
x = 384/24
x = 16
The expression 10x-37 is then
10x-37 = 10*16-37 = 160-37 = 123
which is the measure of the exterior angle adjacent to angle BCA
The last step is to subtract this from 180 to get angle BCA itself
angle BCA = 180 - 123 = 57
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
Mid-point = ((-1 + 3) / 2 , (-5 + -1 )/ 2)
= (1 , -3)
Gradient = (-1 - -5 )/(-3 - -5)
= 2
m1_ = -1/2
y = mx + b ( we have to find b)
y = -1/2 x + b (we will use mid point x = x and y = y)
-3 = -1/2 (1) + b
-3 = -0.5 + b
b = -3 + 0.5
b = -5/2
so,
y = -1/2x + 5/2
Answer:
24cm^2
Step-by-step explanation:
Given data
Length= 6cm
Width=4cm
Required
The area of the Rectangle
Area=Length*Width
Substtiute
Area=6*4
Area= 24cm^2
The answer is 7 its simple or long term division