Answers:
- A) Ray QS or Ray QR
- B) Line segment QS or SQ
- C) Plane QSR
- D) Line QS or RQ
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Explanation:
Part A)
When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.
The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.
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Part B)
A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).
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Part C)
When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.
So that's how we get the name "Plane QSR". The order of the letters doesn't matter.
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Part D)
To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.
- Line QR
- Line QS
- Line RQ
- Line RS
- Line SQ
- Line SR
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
- a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
- b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>
Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
- <u>First combination; (600, 300)</u>
Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
- <u>Second combination; (300, 600)</u>
Learn more about inequalities here:
brainly.com/question/22976364
Answer:
innate as an agent X or something else
Step-by-step explanation:
Answer: 0.000007638035
Step-by-step explanation:
We can use the formula for compound interest to solve this.
Now, the formula goes thus:
A = P ( 1 + r/n)^nt
Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.
From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.
Now, we substitute these into the formula
1912.41 = P ( 1 + 2.63) ^ 15
1912.41 = P ( 3.63) ^ 15
1912.41 = P ( 250,379,850)
P = 1912.41 ÷ 250,379,850
P = 0.000007638035
Looks pretty funny an answer right?
Answer:
A: square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide
Step-by-step explanation:
I just took the test
