Please Show Work.
1 answer:
Answer:
The angle x is equal to 30°.
Step-by-step explanation:
We are given that
- Lines A and B are parallel.
- These lines are transversed by Line C.
We can find out what angle is the supplement of 150° by setting up a simple equation.
Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.
Therefore, the angle that is to the top right of x is equal to 150°.
Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.
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Part A: 42.50+0.65x<60
Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.
Step-by-step explanation:
Given,
Admission cost to fair = $42.50
Cost of each ride = $0.65
Amount you can spend = $60
Let,
x be the number of rides you can take.
Admission fair + Cost of each ride*number of rides < Amount you can spend
Part A: write an inequality that represents this situation.
42.50+0.65x<60
Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.
Dividing both sides by 0.65
Rounding off to nearest whole number;
x<27
Less than 27 means, you cannot take 27 rides, therefore,
You can enjoy maximum 26 rides at the fairy tale spectacular.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly