I thinks it’s A or C )) but it’s not b or d, I’m pretty sure. So imma go with A or c
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
A = length x width
15,000 = (w + 30) x w
15,000 =
+ 30w
0 =
+ 30w - 15,000
Use quadratic formula to find that w= -15 + or - 5
. Because distance cannot be negative, the width is -15 + 5
meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.
Answer:
1.125 pages per minute
Step-by-step explanation:
Mika read a 405 page book in 6 hours.
6 hours is equivalent to
6 × 60 minutes = 360 minutes
Number of pages read per minute = 405/360
= 9/8 = 1.125 pages
Mika read 1.125 pages per minute.
