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:
Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
c) Solve the equation.
<u>Substitute x in the second equation and solve for y:</u>
- x + y = 51
- 2y + y = 51
- 3y = 51
- y = 51/3
- y = 17
<u>Then find x</u>
The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.
Answer:
The answer is 2.
This is because on the left side of the triangle, we can see that the original length is ten cm greater than the second variation. therefore, the other side would also be 10 cm greater than the other variation's side. 5(2)×10= 20, which keeps the triangle to scale.
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Answer:
2 pounds of turkey and 5 1/2 pounds of ham
Step-by-step explanation:
