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
= 2ab + 4a + 6 - 6
= 2ab + 4a
you can factor this to 2a(b + 2)
Answer:
r = 63 meters
Step-by-step explanation:
C=2πr
We know pi and C
396 = 2*22/7*r
396 = 44/7 *r
Multiply each side by 7/44 to isolate r
396*7/44 = 7/44 *44/7 *r
63 =r
C is 23 because if you get all rhe numbers and measure thats your answer. I think i might be wrong. if I am then sorry
Answer:
x = 4
Step-by-step explanation:
Given
5(2x - 1) = 35 ( divide both sides by 5 )
2x - 1 = 7 ( add 1 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
