Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal
1 answer:
A pair of the opposite sides of a hexagon has equal length and this is proved below.
<h3>How to illustrate the hexagon?</h3>It should be noted that a hexagon is a polygon that has six sides.
In this case, it has 6 sides.
The total angles will be:
= (n - 2) × 180
= (6 - 2) × 180
= 720°
Each angle will hence be:
= 720°/6
= 120°
Each angle are equal and this illustrates that the parallel sides are equal.
A diagram is attached to illustrate the pair of parallel sides.
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Answer:
(8,-1)
Step-by-step explanation:
Given :
To Find: solution of given system of equations.
Solution:
Equation a :
Equation b :
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:
⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒
for x = -1
⇒
⇒
⇒
Thus (x,y)=(-1,8)
For x =8
⇒
⇒
⇒
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .