Answer:
Step-by-step explanation:
TO prove this we have to prove one of following.
SSS ( all three sides are equal )
SAS ( two sides and their middle angle is equal )
ASA ( two angles and their middle side are equal )
I am proving both triangles equal by ASA method.
The complete proof and explanation is given in attachment below.
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Answer:
Answer is 36cm
Step-by-step explanation:
Given:-
The perimeter of a square is 24 cm
To Find:-
It's Area
Solution:-
One side of the square
=24/4cm
=6cm
We know that, formula of the area of a square,
Area=(one side)^2
so,the area of the square=6^2cm=36
Important formula:-
•Perimeter of square=4×one side
•Perimeter of rectangle =2(length+breadth)
•Area of rectangle=length×breadth
I hope it's helpful!
That would be
( x + 3)^2 + (y + 5)^2 = 6^2
(x + 3)^2 + (y + 5)^2 = 36 answer
The temp decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3- hour period.
