Answer:
7x +2y =24 --------- (i)
8x +2y= 30 ---------(ii)
Subtracting eqn. (i) & (ii)
7x +2y =24
8x +2y= 30
- - -
___________
-x = - 6
Putting the value of x in eqn. (i)
7*6 +2y =24
42 +2y =24
2y =-18
y = - 9
Hence, x=6 and y= - 9
Hope it helps!!
Answer:
AB is 16 units.
Step-by-step explanation:
Given:
AE = EC
BF = FC
EF = 8 and DF = 10
To Find:
AB = ?
Solution:
Mid Point Theorem:
The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".
AE = EC .....Given
Therefore E is the Mid Point of AC.
BF = FC .....Given
Therefore F is the Mid Point of BC.
Therefore,
EF || AB ........................Mid Point Theorem.
..............Mid Point Theorem.
Substituting the values we get
Therefore AB is 16 units.
Step-by-step explanation:
This is the concept of algebra. The value of x three times less than the value of 45-10x will be as follows;
The value of x three times is:
3x
subtracting 45-10x we get:
3x-(45-10x)
3x+10x-45
13x-45
the answer is:
13x-45
