Answer:


Step-by-step explanation:
Given


Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)

Collect Like Terms


Solve for x

Substitute 5 for x in 



For this case we have the following equation:

Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:

Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
Craig has every 13th night and Edie has every 5th night off.
You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.
Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.
This means, they will have the same every 65th night off.
Answer:
m∠FJH=60°
Step-by-step explanation:
The complete question is
JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°
What is FJH
we know that
m∠FJH=m∠FJG+m∠GJH -----> equation A
If ray JG is an angle bisector of ∠FJH
then
m∠FJG=m∠GJH -----> equation B
substitute the given values in equation B and solve for x
(2x + 4)°=(3x -9)°
3x-2x=4+9
x=13
Find the measure of angle FJH
m∠FJH=(2x + 4)°+(3x -9)°
substitute the value of x
m∠FJH=(2(13) + 4)°+(3(13) -9)°
m∠FJH=(30)°+(30)°
m∠FJH=60°
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