Answer:x= 45°
Step-by-step explanation:
The value of angle LKN is 75°becausw the theorem vertically oposite angles
Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°
The value of x is also 45° because of vertically oposite angles theorem
First find the slope between the 2 points
0--2/4--4
=2/8
=1/4
Then y=1/4 x+b
Now substitute one pair of x and y into the equation
0=1/4*4+b
b=-1
So y=1/4x-1
Done!
Answer:
16 cm^2/min
Step-by-step explanation:
dV/dt=24
V=a^3, differentiate with respect to t
dV/dt=3a^2*da/dt, a^2*da/dt=8
S=6a^2, 216=6a^2. a=6. da/dt=(8/36)
dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min
Answer:
£2.16 per day
Step-by-step explanation:
Thats 90 litres a day.
24p each litre, u do 24x90
So the cost each day is 216p or £2.16.
Answer:
B) x=0
Step-by-step explanation:
x +20+ 10x= 9x +20
1st step: simplify the left side by combining like terms
10x+x=11x
2nd) 11x+ 20= 9x +20
Next, you subtract 11 and 9 which is equal to 2.
2x+20=20
Now, the 20 cancels out the other twenty so your left with 2x which is not an answer, therefore the only other number is 0 to be possible.
Check: 0+20+0=20 (first expression)
0x9=0 0+20= 20 (2nd expression)
20 = 20 so this is CORRECT!!!!!!!!