Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
The sum of angles on a straight line is 180°.
( R ) and ( 2x + 5 ) are both on the same straight line.
Therefore:
Equation No. 1 -
R + 2x + 5 = 180
R = 180 - 2x - 5
R = 175 - 2x
Vertically opposite angles are equivalent to each other.
( R ) is vertically opposite ( 3x + 15 ).
Therefore:
Equation No. 2 -
R = 3x + 15
Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )
R = 3x + 15
175 - 2x = 3x + 15
- 2x - 3x = 15 - 175
- 5x = - 160
x = - 160 / - 5
x = 160 / 5
x = 32
Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).
Equation No. 2 -
R = 175 - 2x
R = 175 - 2 ( 32 )
R = 175 - 64
R = 111
FINAL ANSWER:
Therefore, the answer is:
R = 111
x = 32
Hope this helps! :)
Have a lovely day! <3
Answer:
what exactly am i solving for ?
Step-by-step explanation:
Answer:
Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.
Step-by-step explanation:
there are commas where they are supposed to be
A function assigns the values. The force that will be required to move the rock is 48 lbs.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
A.) The inverse of the function f(x)=1/x is,
f(x) = 1/x
y = 1/x
x = 1/y
g(x)=1/x
Hence, The inverse of the function f(x)=1/x is g(x)=1/x.
B.) The force that will be required to move the rock using the momentum,
9ft × 80lbs = 15 ft × F
F = 48 lbs
Hence, The force that will be required to move the rock is 48 lbs.
Learn more about Function:
brainly.com/question/5245372
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