Answer:
Given: In parallelogram ABCD, AC=BD
To prove : Parallelogram ABCD is rectangle.
Proof : in △ACB and △BDA
AC=BD ∣ Given
AB=BA ∣ Common
BC=AD ∣ Opposite sides of the parallelogram ABCD
△ACB ≅△BDA∣SSS Rule
∴∠ABC=∠BAD...(1) CPCT
Again AD ∥ ∣ Opposite sides of parallelogram ABCD
AD ∥BC and the traversal AB intersects them.
∴∠BAD+∠ABC=180∘ ...(2) _ Sum of consecutive interior angles on the same side of the transversal is
180∘
From (1) and (2) ,
∠BAD=∠ABC=90∘
∴∠A=90∘ and ∠C=90∘
Parallelogram ABCD is a rectangle.
A cuboid has 8 vertices and 12 edges
Sick my dock is the answer
Subtract the second equation from double the first equation:
2x+6y-2x-(-4y)=0
10y=0
Therefore, y=0. Substituting this into the first equation, we see that:
x+3(0)=3
x=3
Therefore, x=3. The solution to this system is x=3, y=0, or (3, 0).
Answer:
Step-by-step explanation:
Given:
Original price of the ticket is 
Price after using the coupon is 
Coupon discount is 85% of 
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,
The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line strictly remains in the first quadrant as both and can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of and positive.
