Answer:
14
Step-by-step explanation:
the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8
the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6
add small and big rectangles: 8+6 = 14
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
In ΔDBC
BC=DC (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,
Now,
So,
In ΔABD
AB = BD (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
The correct answer is C
Hope this helped :)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
We are given three numbers-a,b,c.
We are given the property (ab)c = a(bc)
This implies that on the left hand side we first multiply a and b and then multiply the result by c. On the right side of the equation, we first multiply b and c and multiply a with the product of b and c.
As per the given property, the result in both the cases is the same.
This signifies the associative property of multiplication where the result is independent of the order of operation.
