Answer:
In ΔECB ,
∠ECD = ∠EBC + ∠BEC (∵ Exterior Angle Property of a triangle)
⇒ ∠BEC = ∠ECD - ∠EBC ................. eqn.1
In ΔABC ,
∠ACD = ∠BAC + ∠ABC (∵ Exterior Angle Property of a triangle )
⇒ 2∠ECD = ∠BAC + 2∠EBC
⇒ ∠BAC = 2∠ECD - 2∠EBC = 2(∠ECD - ∠EBC)
( Putting eqn.1 here )
⇒ ∠BAC = 2∠BEC (∵∠BEC = ∠ECD - ∠EBC)
Answer:
58/15
Step-by-step explanation:
1/6 a^2 + 9/10 b
Let a = -4 and b = 4/3
1/6 ( -4)^2 + 9/10 ( 4/3)
PEMDAS says powers first
1/6 (16) + 9/10 ( 4/3)
Then multiply
16/6 + 6/5
Simplify
8/3 + 6/5
Get a common denominator
8/3 *5/5 + 6/5 *3/3
40/15 + 18/15
58/15
Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
Answer:
Step-by-step explanation:
Given the equation 
Step 1;
Expand the bracket at the right hand side of the equation to have:
Taking the reciprocal of both sides:
