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:
x^2 - x^3 - 3x^2y - 3xy^2
Step-by-step explanation:
x^3 +y^3 - (x + y)^3
Expand the expression
x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)
Remove the parentheses
x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3
Remove the opposites
Answer:
x^2 - x^3 - 3x^2y - 3xy^2
Hope this Helps!
Answer:
a. 20%
b. 130 mg
c. 7.7 ounces
Step-by-step explanation:
a. Next to saturated fats it says 20%
b. 1000*0.13 is 130
c. 1000 divided by 130 is 7.69 rounded is 7.7
Hope this helps!
Answer:
8 small tables
Step-by-step explanation:
they told you they have 5 large tables that seat 10 guests and 98 guests are coming. You need to subtract 50 from 98 because after you multiple how many guests can sit at each large table by how many large tables they have it equals 50 so 98-50=48 then you need to divide 48 by six because each small table sits six people so 48/6=8 so you need 8 small tables.