If 1/6 of the population of the zoo are males and there are 2 males, then there must be 12 lions in all. 2 males and 10 females.
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
3600 * 1 * 0.085 = 306
answer: interest would be $306
Answer:

Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:

Now, we can write the force in terms of density.

V is the volume (V=2*1*1=2 m³)
So the work will be:

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.


I hope it helps you!
Answer:
x = 133
Step-by-step explanation:
First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).
114 x 6 = 684
Next, add the five known values to get a sum of 551.
Now, just: 684 - 551 = 133
For the mean to be 114, x must equal 133.