Answer:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, 
⇒
⇒
⇒
⇒
Thus, the value of x is 40, hence option A is correct.
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79
727.29 + 248.50 − x ≤ 500;
x ≤ $475.79
727.29 − 248.50 + x ≥ 500
x ≥ $21.21
727.29 – 248.50 - x ≤ 500
x ≤ $21.21
Answer:
irrational
Step-by-step explanation:
irrational because there will still be a 2 under the root when you simplify to 2√2
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
- Jack and Jill live 345 miles apart from one another
- They want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the route
- Jack's average rates 60 mph
- Jill's average rate is 55 mph
We need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
Learn more:
You can learn more about the word problems in brainly.com/question/3950386
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