Answer:
Step-by-step explanation:
Let represent the cost of the torch and
represent the cost of the battery.
The torch and a battery cost £2.50 altogether.
The torch costs £2.00 more than the battery.
We substitute the second equation into the first equation to get;
£2.50
The price of the battery is £0.25
We express this as a fraction of the total cost which is £2.50 to get;
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Step-by-step explanation:
If (x , y) is the mid-point of a segment whose end points are and
then,
In a parallelogram, its diagonals intersect each other at their mid-points
that means its diagonals bisect each other
∵ HIJK is a quadrilateral
∵ HJ and IK are its diagonals
∵ H = (-2 , 2)
∵ J = (4 , -2)
- Find the mid point of HJ
∵
∴
∴
∴ The mid-point of HJ is (1 , 0)
∵ I = (4 , 3)
∵ K = (-2 , -3)
- Find the mid point of IK
∵
∴
∴
∴ The mid-point of IK is (1 , 0)
∵ The mid-points of HJ and IK are equal
∴ HJ and IK bisects each other
∴ HIJK is a parallelogram because its diagonals bisect each other
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Learn more:
You can learn more about parallelogram in brainly.com/question/6779145
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Answer:
The angle opposite to side with length 3.1 is x
The triangle in the attached figure
Step-by-step explanation:
we know that
In a right triangle the tangent of an angle x is equal to divide the opposite side to angle x by the adjacent side to angle x
In this problem we have
therefore
opposite side to angle x is 3.1 units
adjacent side to angle x is 5.2 units
The angle opposite to side with length 3.1 is x
see the attached figure to better understand the problem
