Answer:
6.99
Step-by-step explanation:
11.99+2.99+5.99=20.97
20.97/3=6.99
<h2>
Hello!</h2>
The answer is:
The second distance (
) is equal to 7.5 feet.
<h2>Why?</h2>
Since we are given two forces acting at distance, torque will be created. We are given two forces and one distance, so, to calculate the other distance required to balance the system (solve this fulcrum problem), we need to write the following equation:

Where,

We are given,

So, substituting and calculating, we have:




Hence, the second distance (
) is equal to 7.5 feet.
It's a logical solution since the second force is twice the first force and it means that the second distance must be equal to half the first distance in order to maintain the equilibrium condition.
Have a nice day!
Given that a || b, m∠2 = 63° and m∠9 = 105°.
Now, all the angles are as follows:
m∠5=
m∠2 = 63° [vertically opposite angle]
m∠7=
m∠9=105° [vertically opposite angle]
m∠8=
180°-m∠9=180°-105°=75° [Supplementry angles, m∠8+m∠9=180°]
m∠10=
m∠8=
180° [vertically opposite angle]
m∠6=
m∠8=75° [ Alternate angles]
m∠3=
m∠6=75° [vertically opposite angle]
m∠1=
180°-(m∠2+m∠3)=180°-(63°+75°)=42° [as m∠1+m∠2+m∠3=180°]
m∠4=
m∠1=42° [vertically opposite angle]
m∠11=m∠4=42° [ Alternate angles]
m∠13=
m∠11=42° [vertically opposite angle]
m∠12=
180°-m∠11=180°-42°=138° [as m∠8+m∠9=180°]
m∠14 =
m∠12=138° [vertically opposite angle]
<span>Exponents are the repeated multiplication of a
number. It is represented by the formula of a^n where a is the number to be
repeated and n is the number of times the number is being multiplies by itself.
Also include the sign of the number, no matter how it is multiplied, it is
still important. In this problem, you have 4 as the repeated number. You can
see that it is multiplied by itself by two times. So you have (-4)^2.</span>