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:
15 . Undefined
16. undefined
Step-by-step explanation:
Answer:
300 doors.
Step-by-step explanation:
1.5 minutes for 1 door.
7.5 hours for 300 doors.
7.5 hours = 450 minutes.
Answer:
1/4
Step-by-step explanation:
The orange shape is 3 units tall and 4 units wide. The black shape is 12 units tall and 16 units wide. The scale factor is ...
orange/black = 3/12 = 4/16 = 1/4
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Answer:
66 carnations and 34 roses
Step-by-step explanation:
.75x + 2.75y = 139
x+ y = 100
im not smart but bear with me:
rewrite the 2nd equation:
x=-y+100
.75(-y+100)+2.75y=139
-.75y+2.75=139-75
2y=64
y=34 ; now substitute this into out 2nd equation
x+y=100
x+ (34) =100
x=100-34
x=66
