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
Two intersecting lines will form 2 pairs of congruent vertical angles. Congruent angles have the same angle measure and vertical angles are opposite angles formed by two intersecting lines. Hope this helps.
Answer:
C.1/16
Step-by-step explanation:
When a coin is tossed 4 times, the number of outcomes are:
2^4 = 16
So,
From the outcomes, only one outcome will be when there will be all heads
So, the probability will be:
One out of the 16 outcomes
Hence, the probability of a coin landing on heads all 4 times is:
C.1/16
Answer:
D
Step-by-step explanation:
The 30-60-90 triangle has the shortest leg as x.
If there is no x you have to use the 2x or 
GCF(13; 52) = 13
13 = 13 · 1
52 = 13 · 4
13 + 52 = 13 · 1 + 13 ·4 = 13·(1 + 4)
Used distributive property: a(b + c) = ab + ac
