Central and inscribed angle practice

Answer:

y = [tex]-\frac{1}{3}[/tex]

[tex]2\frac{2}{3}=x[/tex]

Step-by-step explanation:

To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.

2x + y = 3

y = x - 2

First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,

y = 3 - 2x

y = x - 2

Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,

y = 3 - 2x

2y = 2x - 4

Add the equations,

3y = -1

Inverse operations,

3y = -1

/3     /3

y = [tex]-\frac{1}{3}[/tex]

Now back solve, substitute the value of (y) into the equation and solve for (x),

[tex]y=x-3\\[/tex]

Substitute,

[tex](-\frac{1}{3})=x-3[/tex]

+3

[tex]2\frac{2}{3}=x[/tex]

Answer:

Meadian: 77

Mean: 73

Step-by-step explanation:

Answer:

Step-by-step explanation:

you need to mutpliy all or your numders 17 x 4 x 8 x 9 = 4896m

Given:

The expression is:

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

To find:

The simplified value of the given expression.

Solution:

We have,

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

On dividing, we get

[tex](3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}[/tex]

          [tex]-(15m^2-5m)[/tex]

              [tex]\overline{\quad \quad -5m-3}[/tex]

                    [tex]-(5m-\dfrac{5}{3})[/tex]

                       [tex]\overline{\quad \quad -\dfrac{4}{3}}[/tex]

Here, quotient is [tex]5m+\dfrac{5}{3}[/tex]  and the remainder is  [tex]-\dfrac{4}{3}[/tex].

Therefore, [tex]\dfrac{15m^2-3}{3m-1}=5m+\dfrac{5}{3}-\dfrac{4}{3(3m-1)}[/tex].

Answer:

16 brainlist pls

Step-by-step explanation:

Answer:

prolly like 689

Step-by-step explanation:

As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.

A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.

To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.

First, we need to calculate the z-scores for these two scores using the formula:

z = (score - mean) / standard deviation

For a score of 70:

z = (70 - 70) / 5 = 0

For a score of 95:

z = (95 - 70) / 5 = 5

Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.

The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.

Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:

Number of students = proportion x total number of students

Number of students = 0.499 x 1000

Number of students ≈ 499

Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

#SPJ3

Answer:

-3 = N

Step-by-step explanation:

2-2N=3N+17

Add 2N to each side

2-2N+2N=3N+2N+17

2 = 5N +17

Subtract 17 from each side

2-17 = 5N+17-17

-15 = 5N

Divide each side by 5

-15/5 = 5N/5

-3 = N

Answer:

N= -3

Step-by-step explanation:

First, bring 3N on to the left side by subtracting 3N with 2N

2-2N-3N=17

Then, move 2 to the right side by subtracting 17 and 2: -2N-3N= 17-2

Solving the like terms gives us -5N= 15

N= 15/-5

N= -3

Answer:

D. 2/3 1/6 1/5

Step-by-step explanation:

Answer:

Explanation:

Answer:

2500 alone, 150 tax, 2650 total

Step-by-step explanation:

Please mark brainliest!

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

Answer: 0.02777777777

Step-by-step explanation:

Answer:

Step-by-step explanation:It's c bestie ,;

Answer:

The answer is C

Step-by-step explanation:

I took the quiz and looked it up just to make sure

Answer:

67.6 cm

Step-by-step explanation:

x^2 = 285.61

x = 16.9

4x = 67.6 cm

Answer:

Step-by-step explanation:

sorry do not .know

To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:

54 = 2(25 + 4g)

Next, we can simplify the equation by first distributing the 2:

54 = 50 + 8g

Then, we can isolate g on one side of the equation by subtracting 50 from both sides:

4 = 8g

Finally, we can solve for g by dividing both sides by 8:

g = 4/8

Simplifying this expression gives us:

g = 1/2

Therefore, the value of g is 1/2.

Hope this helps <3

Please give me Brainliest :)

Answer:

15.9=y

Step-by-step explanation:

-0.4+16.3

yw if I'm wrong then I'll try to figure it out again

Answer:

it could be the 5th one !!

Answer:

Volume=2521.91 mm³

Step-by-step explanation:

d=13, r=13/2=6.5, h=19

volume=πr²h

=π(6.5)²×19

=2521.91 mm³

hope it helps

have a great day!!

angle 1 = 81°

angle 2 = 99°

angle 3 = 81°

angle 4 = 99°

angle 5 = 81°

angle 6 = 99°

angle 7 = 81°

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴

Answer:

Step-by-step explanation:

hello :

Sinx/1-cosx=1+cosx/sinx means : sin²x= (1-cosx)(1+cosx)

sin²x= 1-cos²x

sin²x+cos²x =1

Answer:

Step-by-step explanation:

12 = 24 * 1 * 1/2

12 = 36 * 1 * 1/3

These are 2 possible answers.

There are many more.

Answer:

-19.8

Step-by-step explanation:

Answer:

-19.8

Step-by-step explanation:

Answer:

I assume you meant 4x^2

So the answer in simplified form is -4x^2-11x+3

Answer:

3

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

17

Answer:

u have Isolate the variable by dividing each side by factors that don't contain the variable. and the correct answer is x=2.7442371

Step-by-step explanation:

Brainliest plz

Answer:

50

Step-by-step explanation:

replace the variable, 4(-3.75)+12-8(-3.75)+23=50

Answer:

the initial investment is $1,200

Step-by-step explanation:

The computation of the initial investment is shown below:

As we know that

Let us assume the investment be 100

So, the investment increased be 72

So,

Simple interest = Principal × rate of interest × time period

72 = Principal × 3% × 2 years

So, the principal is

= 72 ÷ 3% × 2

= $1,200

hence, the initial investment is $1,200