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Vesna [10]
4 years ago
13

Q is the midpoint of PR R is the midpoint of QS Prove: PR = QS

Mathematics
1 answer:
balu736 [363]4 years ago
7 0
1. Q is the midpoint of PR       1. Given
2. PQ = QR                              2. Definition of midpoint of a segment
3. R is the midpoint o QS        3. Given
4. QR = RS                              4. Definition of midpoint of a segment
5. PQ + QR = QR + RS           5. Addition property of equality
6. PR = QS                              6. Segment addition postulate
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Given circle B, with a radius AB of 10 inches and a central angle ABC of 75º , find the length of the arc AC.
andre [41]
13.1 inches is the answer
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3 years ago
Someone help me please .
prohojiy [21]
<h3>Answer: C) nonmetal</h3>

This element has 8 protons, so element is oxygen. I recommend looking at the periodic table of elements. At standard temperature and pressure (STP), oxygen is a gas, so that puts it in the nonmetal category.

Side note: Metalloids are a collection of elements where they share properties of metals and nonmetals (in a way they're on the fence).

5 0
3 years ago
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Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
MAXImum [283]

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

8 0
3 years ago
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.
Leona [35]

Answer:

The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3

Step-by-step explanation:

* Lets explain the difference between the theoretical probability and

 experimental probability

- Theoretical probability is what we expect to happen

- Experimental probability is what actually happens when we try it out

- Both of them calculated by the same way, the number of possible ways

 an outcome can occur divided by the total

* Lets solve the problem

- The table has two column;

# Number Cube             # Observed Frequency

           1                                           18

           2                                          16

           3                                          24

           4                                          26

           5                                          16

           6                                          20

        Total                                      120

∵ The experimental probability of rolling a 3 = 24/120 = 1/5 = 0.2

∴ The experimental probability of rolling a 3 = 0.2 = 20%

∵ The theoretical probability of rolling a 3 = 1/6

∴ The theoretical probability of rolling a 3 = 0.1666 ≅ 17%

∵ 20% is greater than 17%

∴ The experimental probability of rolling a 3 is greater than the

  theoretical probability of rolling a 3

7 0
3 years ago
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Mr and Mrs jackson are having a family portraits taking with their son and daughter. the photographer wants to have two people s
miskamm [114]
If your question is how many positions are possible, then the answer is 24.

We find this by thinking of how many people can be in each spot. If there are 4 spots each person can stand (back left, back right, front left, front right), then there are 4 possible choice for the first spot (mom, dad, son, daughter), then 3 for the next spot (since 1 is already in a spot), then 2 options for the next spot, and then 1 option for the last spot. In other words, the answer is 4x3x2x1, or 4 factorial.
5 0
3 years ago
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