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
To get the answer, first, you must find the amount in each box, so you must divide, 122 divided by 8, you should get 15.25, but that's not your answer. The question asks how many COMPLETE boxes, so just choose the whole number, which is 15. 15 is the answer.
Answer:
there is 1/2 a chance you will roll an odd number.
Answer:
Translation then Reflection
Step-by-step explanation:
Step 1 to 2 is Translation
Step 2 to 3 is Reflection
<u>What do we know so far</u>:
*we converted the number of laps into improper fractions
<u>We want to know the number of laps in an hour</u>
⇒ so we must find the rate which ⇒ lap/hour
<u>So William can run</u> ⇒ <u>10 laps in one hour</u>
Hope that helps!
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⇒
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