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Vikentia [17]
3 years ago
12

Points C and D lie on circle O as shown below. If OC = 6x+2 and OD = 10x -16, then find the length of the radius of circle O.

Mathematics
1 answer:
Ket [755]3 years ago
3 0
Radius = OC = OD

Solve for x:

10x -16 = 6x+2

4x = 18

x = 9/2 = 4.5

Sub 'x' back into OC

OC = 6(4.5) + 2 = 29

Radius = 29
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The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
2 years ago
Please help I will give brainliest or thanks please help me
Dovator [93]
15 minutes= 2 problems
75 / 15 = 5
2 x 5 = 10 problems
7 0
3 years ago
Read 2 more answers
I need help with math xl please! See attached
Elden [556K]

I had to answer a question similar to that one on Math XL. This question was about renting a truck instead of needing a 48 mile taxi. (Took me a long time just to find the truck question, but I am giving you the truck help me answer the question, in hopes that it will help you.)

The cost of renting a truck from Hamilton Auto Rental is ​$47.60 per day plus ​$0.15 per mile. The expression 47.60 plus 0.15 m represents the cost of renting a truck for one day and driving it m miles. Evaluate 47.60 plus 0.15 m for m equals 120.


Substitute the numerical value for each variable into the expression and simplify the result.


I am sorry if that didn't help you, but it was the closest thing I could find to use to help you.

4 0
2 years ago
Descriptive statistics ___________, while inferential statistics ______________. are measures of central tendency; are measures
Leviafan [203]

Answer:

Descriptive statistics <u>describe data from surveys and case studies,</u> while inferential statistics <u>determine if data can be generalized to other populations</u>.

Step-by-step explanation:

Let's look at the definition of each type of Statistics

Descriptive Statistics, as the name says, describes, properties or characteristics (that can be gathered through surveys and case studies), using mathematical methods for tendency and dispersion.

Inferential statistics, as the name states, infers, if samples from a larger data set have behaviors that can be then extrapolated to the larger group.

8 0
3 years ago
The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?
monitta

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

(n) + (n + 1) =  - 33 \\ 2n + 1 =  - 33 \\ 2n =  - 32 \\ n =  - 16

5 0
3 years ago
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