Triangle EDC is similar to Triangle CBF by angle angle. Angle B is congruent to angle D because in a parallelogram opposite angles are congruent. Angle BFC is congruent to angle ECD because parallel lines imply alternate interior angles are congruent. FC=7 DC=16 2/3 EC=10
Answer:
$232
Step-by-step explanation:
1/14 of 280 is $20 and 1/10 of 280 is $28
232 - (20+28) = 232
Answer:
Step-by-step explanation:
Given that,
The arc length is four times the radius
Let he radius be 'r'
Then, the arc length be 's'
The arc of a sector can be calculated using
s=θ/360 × 2πr
Then, given that s=4r
So, 4r = θ × 2πr / 360
Divide both side r
4 = θ × 2π/360
Then, make θ subject of formula
θ × 2π = 360 × 4
θ = 360 × 4 / 2π
θ = 720 / π
So, area of the sector can be determine using
A = θ / 360 × πr²
Since r = ¼s
Then,
A = (θ/360) × π × (¼s)²
A = (θ/360) × π × (s²/16)
A = θ × π × s² / 360 × 16
Since θ = 720 / π
A = (720/π) × π × s² / 360 × 16
A = 720 × π × s² / 360 × 16 × π
A = s² / 8
Then,
s² = 8A
Then,
s= √(8A)
s = 2 √2•A
Given expression: 1/4 (16-12x).
Solution: We can see that 1/4 is in front of paranthesis.
That represents multiplication of 1/4 with (16-12x)
In order to 1/4 with (16-12x), we need to distribute 1/4 over (16-12x).
On distributing 1/4 over (16-12x), we get
1/4 (16-2x) = 1/4 * 16 + 1/4 * (-12x).
On multiplying 1/4*16, we get 16/4 and 1/4 * (-12x) = -12x/4.
16/4 could be simplify to 4 and -12x/4 could be simplify to -3x.
So, final answer would be 4 - 3x.
Therefore, second option is our correct option, that is 4 - 3x.
