Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = 
= 
= 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
Answer:
1. x =8
2. x=9
Step-by-step explanation:
Since these figures are parallelograms, the opposite sides are equal.
1. 6 = 2x-10
Add 10 to each side
6+10 = 2x-10+10
16 = 2x
Divide each side by 2
16/2 = 2x/2
8 =x
2. x+14 =23
Subtract 14 from each side
x+14-14 = 23-14
x = 9
Answer:
the sum of the digits of the smallest number 668 = 6+6+8 = 20
Step-by-step explanation:
3 consecutive even number: x, x+2, x+4
4x + 2*(x+4) = 3*(x+2) + 2006
6x + 8 = 3x + 6 + 2006 = 3x + 2012
6x - 3x = 2012 - 8 = 2004
3x = 2004
x = 668
the sum of the digits of the smallest number = 6+6+8 = 20
Answer:
P=76 ft
Step-by-step explanation:
P=19(4)
P=76
