Answer:
..Step-by-step explanation:
Answer:
Step-by-step explanation:
A=1/2(r+2)
2A=f(r+2)
2A/f=r+2
2A/f-2=r
Answer:
56
Step-by-step explanation:
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
13 (-5) = (x/7) + 5 (-5)
13 - 5 = x/7
8 = x/7
Isolate the variable x. Multiply 7 to both sides:
8(7) = (x/7)(7)
8(7) = x
x = 8 * 7
x = 56
56 is your answer for x.
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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