Need help!!!
In the diagram of circle o, what is the measure of ABC?

Need Help!!! In The Diagram Of Circle O, What Is The Measure Of ABC?

Answers

Answer 1

Answer:

54 degrees

Step-by-step explanation:

I would turn this into a quadrilateral by connecting C to O and O to A.

The angles of a quadrilateral add up to 360 degrees.

So we have 90+90+126+angleABC=360

                            180+126+angleABC=360

                                  306+angleABC=360

                                           angleABC=360-306=54

Answer 2

Answer:

ABC = 54°

Step-by-step explanation:

Two tangent have been drawn from an external point B to the circle O.

These tangents touch the circle at points A and C.

Now as per Theorem of arcs and angles.

∠ABC = [tex]\frac{1}{2}[/tex]   [m(major arc AC) - m(minor arc AC)]

          = [tex]\frac{1}{2}[/tex]  [234 - 126]

         = [tex]\frac{1}{2}[/tex]  × (108)

         = 54°

Therefore, ABC = 54°


Related Questions

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

Answers

Answer: 720 feet

Step-by-step explanation: 120 x 6= 720

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

The range of the following relation R {(3,-2), (1, 2), (-1, -4),(-1, 2)} is

A.{-1, 1, 3}
B.{-1, -1, 1, 3} ♡
C.{-4, -2, 2, 2}
D.{-4, -2, 2}

Answers

Answer:

D.{-4, -2, 2}  

Step-by-step explanation:

all y components

same y value are not repeated

Lynn is taking a trip in her car. She spent 387.00 on gasoline and snacks. Lynn spent 35.80 on snacks for the entire trip. Gasoline costs 2.54 per gallon.

How many gallons of gasoline did Lynn purchase on her trip?

Answers

Answer:

138.27 gallons

Step-by-step explanation:

Total cost = snacks + gallons * cost per gallon

387 = 35.80 + g*2.54

Subtract 35.80 from each side

387-35.80 = 35.80-38.50 + g*2.54

351.20=  + g*2.54

Divide by 3.54 on each side

351.20/2.54 = 2.54g/2.54

138.2677165 = g

Rounding to the nearest hundredth

138.27 gallons

Given : Lynn spent 387.00 on gasoline and snacks

Given : Lynn spent 35.80 on snacks for the entire trip

Money spent on gasoline :

Total money spent on gasoline and snacks - Money spent on snacks

[tex]:\implies[/tex]  Money spent on gasoline = 387.00 - 35.80

[tex]:\implies[/tex]  Money spent on gasoline = 351.20

Given : Gasoline costs 2.54 per gallon

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{Total\;money\;spent\;on\;gasoline}{Cost\;of\;gasoline\;per\;one\;gallon}}[/tex]

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{351.20}{2.54}}[/tex]

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = 138.27}[/tex]

Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
(2, 5)
(-4, 3)
(-3, 0)
(3, 2)

A. 20.0 square units
B. 19.0 square units
C. 25.6 square units
D. 39.7 square units​

Answers

Answer:

Option A. 20.0 square units

Step-by-step explanation:

Let

[tex]A(2, 5),B(-4, 3),C(-3, 0),D(3, 2)[/tex]

Plot the points

see the attached figure

The area of the rectangle is equal to

[tex]A=AB*AD[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(2, 5),B(-4, 3)[/tex]

substitute in the formula

[tex]AB=\sqrt{(3-5)^{2}+(-4-2)^{2}}[/tex]

[tex]AB=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]

[tex]AB=\sqrt{40}\ units[/tex]

step 2

Find the distance AD

[tex]A(2, 5),D(3, 2)[/tex]

substitute in the formula

[tex]AD=\sqrt{(2-5)^{2}+(3-2)^{2}}[/tex]

[tex]AD=\sqrt{(-3)^{2}+(1)^{2}}[/tex]

[tex]AD=\sqrt{10}\ units[/tex]

step 3

Find the area of rectangle

[tex]A=AB*AD[/tex]

we have

[tex]AB=\sqrt{40}\ units[/tex]

[tex]AD=\sqrt{10}\ units[/tex]

substitute

[tex]A=(\sqrt{40})*(\sqrt{10})[/tex]

[tex]A=20\ units^{2}[/tex]

which equation(s) have x=2 as the solution. ​

Answers

Answer:

A and B

Step-by-step explanation:

Have a GREAT day!

Answer:

This one is A and B, next question is A and C

Step-by-step explanation:

edge 2020

consider the explicit formulas for two sequence ​

Answers

These are the formulas right?.. I hope so, anyways..

- f(n)= 2^(n-1) -1

- g(n)=3n+6  

f(7)=2^{7-1}-1  -  f(7)=2^{6}-1  -  f(7)=64-1  -  f(7) = 63

g(10)=3\X 10+6  -  g(10)=30+6  -  g(10) = 36

= f(7)>g(10)

I hope that it helped..

Answer:

The one above is right.

Step-by-step explanation:

Solve both questions please ❤️❤️

Answers

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

[tex]\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2[/tex]

2. GK is angle G bisector. Use angle bisector's property:

[tex]\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18[/tex]

Find the quotient. x + 4/x2 ÷ 2 /x

Answers

The simplified form of the expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \) is \( \frac{x + 4}{2x} \).[/tex]

To simplify the given expression, we'll first deal with the division of fractions by turning it into multiplication with the reciprocal of the divisor.

So, the given expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \)[/tex] becomes:

[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} \][/tex]

Next, let's factor the numerator x+4 and simplify:

[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{(x + 4) \cdot x}{x^2 \cdot 2} \][/tex]

Now, we'll simplify the expression by canceling out common factors:

[tex]\[ = \frac{x(x + 4)}{2x^2} \]\[ = \frac{x(x + 4)}{2x^2} = \frac{x(x + 4)}{2x \cdot x} \][/tex]

[tex]\[ = \frac{x + 4}{2x} \][/tex]

Find the sample Standard deviation and the population standard deviation of the data set? 17,37,56,16,12,16,19,45,14,37,21,26,43,46,42

Answers

Answer:

The sample standard deviation is 14.458

The population standard deviation is 13.967

Step-by-step explanation:

* Lets revise the population standard deviation (σ)

1. Work out the Mean (μ) (average of the numbers)

2. Then for each number subtract the Mean and square

   the result  (xi - μ)²

3. Then work out the mean of those squared differences

    [∑(xi - μ)²/N]

4. Take the square root of that (√[∑(xi - μ)²/N]) and to find σ

* Lets revise the sample standard deviation (s)

1. Work out the Mean (x) (average of the numbers)

2. Then for each number subtract the Mean and square

    the result  (xi - x)²

3. Then work out the mean of those squared differences [∑(xi - x)²/N - 1]

4. Take the square root of that (√[∑(xi - x)²/N - 1]) and to find s

* Now lets solve the problem

- The data are 15 numbers

  17 , 37 , 56 , 16 , 12 , 16 , 19 , 45 , 14 , 37 , 21 , 26 , 43 , 46 , 42

∵ x = μ = sum/number

∴ x = μ = (17+37+56+16+12+16+19+45+14+37+21+26+43+46+42)÷15=29.8

- Subtract the mean from each number and square the result

∵ (17 - 29.8)² = 163.84

∵ (37 - 29.8)² = 51.84

∵ (56 - 29.8)² = 686.44

∵ (16 - 29.8)² = 190.44

∵ (12 - 29.8)² = 316.84

∵ (16 - 29.8)² = 190.44

∵ (19 - 29.8)² = 116.64

∵ (45 - 29.8)² = 231.04

∵ (14 - 29.8)² = 249.64

∵ (37 - 29.8)² = 51.84

∵ (21 - 29.8)² = 77.44

∵ (26 - 29.8)² = 14.44

∵ (43 - 29.8)² = 174.24

∵ (46 - 29.8)² = 262.44

∵ (42 - 29.8)² = 148.84

∴ ∑(xi - μ)² = ∑(xi - x)² = 2926.36

∵ N = 15

∴ The sample standard deviation = √[∑(xi - x)²/(N - 1)]

∴ s = √[2926.36/(15 - 1)] = 14.458

∴ The population standard deviation = √[∑(xi - μ)²/N]

∴ σ = √[2926.36/15] = 13.967

Answer:

B

Step-by-step explanation:

What are the coordinates of the point shown on the
coordinate plane?
x-coordinate =
y-coordinate =​

Answers

Final answer:

The coordinates of the point are (4, 3), where 4 is the x-coordinate (horizontal direction) and 3 is the y-coordinate (vertical direction).

Explanation:

The coordinates of a point on a Cartesian coordinate system are determined by its horizontal position (x-coordinate) and its vertical position (y-coordinate). Given that the point is on the first coordinate axis (x-axis) and in the (1, 2)th coordinate plane, we understand that the x-coordinate is related to the horizontal direction and the y-coordinate is related to the vertical direction.

In the context of this problem, if the figure on the coordinate plane indicates that the point is 4 units to the right of the origin along the x-axis and 3 units above the origin along the y-axis, then the coordinates of the point are ( extbf{4},  extbf{3}). Here, the convention is that moving to the right of the origin increases the x-coordinate and moving upwards increases the y-coordinate.

What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?

A. 5/2
B. −2/5
C. −5/2
D. 2/5

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5y + 2x = 12 into this form

Subtract 2x from both sides

5y = - 2x + 12 ( divide all terms by 5 )

y = - [tex]\frac{2}{5}[/tex] + [tex]\frac{12}{5}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex] → A

What is the slope of the line segment?
a 1/4
b -1/4
c 4
d 4

Answers

to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4[/tex]

The radius of a circular park is 120 m to the nearest meter what is the circumference of the park?

Answers

Answer:

D. 754 m

Step-by-step explanation:

When calculating the circumference of the circle it ends up as 753.98 but rounded it's 754.

Answer: It’s 754!

Explanation: I also got this one on a test lol

PLEASE HELP ASAP?!!!!!!!

Answers

Answer:

76.9 in^2

Step-by-step explanation:

Area of circle

= (3.14) x(10.7)^2

= 3.14 x 114.49

= 359.4986 in^3

Let x = area of the smaller sector

x/77 =  359.4986/360

360x =  359.4986 x 77

360x = 27,681.3922

      x = 76.9 (to the nearest tenth)

Solve the equation for X.
(x - 4) - (x + 7) = 8x please help me solve this somebody I don't understand how​

Answers

Answer:

x = - [tex]\frac{11}{8}[/tex]

Step-by-step explanation:

Given

(x - 4) - (x + 7 ) = 8x

Distribute parenthesis noting second is distributed by - 1

x - 4 - x - 7 = 8x ← simplify left side

- 11 = 8x ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13) √(97)

Answers

Answer:

[tex]|SU|=\sqrt{13}[/tex]

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

[tex]|RT|=\sqrt{(8-1)^2+(5--1)^2}[/tex]

[tex]|RT|=\sqrt{(7)^2+(6)^2}[/tex]

[tex]|RT|=\sqrt{49+36}[/tex]

[tex]|RT|=\sqrt{85}[/tex]

For the diagonal S(6,1) U(3,3)

[tex]|SU|=\sqrt{(6-3)^2+(5-3)^2}[/tex]

[tex]|SU|=\sqrt{(3)^2+(2)^2}[/tex]

[tex]|SU|=\sqrt{9+4}[/tex]

[tex]|SU|=\sqrt{13}[/tex]

Therefore the shorter diagonal is:

[tex]|SU|=\sqrt{13}[/tex]

Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught, write the expression that gives the number shrimp the Ariana caught​

Answers

The expression that gives the number of shrimp Ariana caught will be 5C - 9.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught.

Then the expression is given as,

⇒ 5C - 9

The expression that gives the number of shrimp Ariana caught will be 5C - 9.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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PLEASE HELP ME WITH THIS STUPID QUESTION!!!! WHAT DO I HAVE TO PUT IN THE BOX!! 30pts. Will mark brainliest!!!

Answers

2

-10 and 10 are 10 units from 0 on the number line

At a Kentucky Friend Chicken, a survey showed 2/3 of all people preferred skinless chicken over the regular chicken. If 2,400 people responded to the survey, how many people preferred regular chicken?

Answers

Answer:

800 people

Step-by-step explanation:

We are given in the question that 2/3 of 2400 people preferred skinless chicken.

We have to find the number of people who prefer skinless chicken

[tex]So,\\= \frac{2}{3} *2400\\=1600[/tex]

1600 people prefer skinless chicken,

So,

The number of people who prefer regular chicken = 2400-1600

= 800 people

Answer: kentucky friend chicken? XD

Step-by-step explanation:

What is 3 In 3 - In 9 expressed as a single natural logarithm?
In 3
In 6
In 18
In 27

Answers

Answer:

ln 3

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] ⇔ n log x

Given

3 ln 3 - ln 9

= 3 ln 3 - ln 3²

= 3 ln 3 - 2 ln 3

= ln 3

The given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).

What is logarithm?

Logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Given is the logarithmic expression as -

3 ln(3) - ln(9)

We can solve the expression as -

3 ln(3) - ln(9)

ln(3³) - ln(9)

ln(27) - ln(9)

ln(27/9)

ln (3)

Therefore, the given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).

To solve more questions on logarithmic, visit the link-

https://brainly.com/question/30085872

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A fantasy board game makes use of four dice. The first is a standard 6-faced die, the second die has 4 faces, and the other two have 10 faces each. If all the dice are thrown together and their combination dictates a certain outcome of the game, how many possible outcomes exist? A. 30 B. 240 C. 2,400 D. 3,000

Answers

Answer: Option C

2,400

Step-by-step explanation:

When launching the first 6-sided die there are 6 possible outcomes

When launching the 4-sided die there are 4 possible outcomes

When throwing each die of 10 faces there are 10 possible outcomes

So if all the dice are thrown together, the number of possible combinations that can be obtained is:

[tex]S = 6 * 4 * 10 * 10\\S = 24 * 100[/tex]

[tex]S = 2400[/tex] possible results

Finally the answer is the option C.

Tyler knows that the ratio of male to female horses on the farm is 2 to 3. If there are 12 male horses, how many female horses are there?




20 POINTS

Answers

Answer:

18 female horses.

Step-by-step explanation:

By proportion  2 : 3 = 12 : x   where x is the number of female horses.

12 / 2 = x / 3

2x = 3*12 = 36

x = 18.

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle

Answers

Answer:

180° - 110° = 70°. 70° represents the other two angles, so it needs to be divided in 2 to get the answer of 35°.

Step-by-step explanation:

Please mark brainliest and have a great day!

Find the x coordinate of the point.

Answers

Answer:

x= -17

Step-by-step explanation:

When we have 2 points, we can find the slope using

m = (y2-y1)/(x2-x1)

Substituting what we know

1/5 = (0-3)/(x--2)

1/5 = -3/(x+2)

Using cross products

1*(x+2) = 5*(-3)

x+2 = -15

Subtract 2 from each side

x+2-2 = -15-2

x=-17

Which expression is equivalent to
o ooo​

Answers

Answer:

a

Step-by-step explanation:

becuase you distribute the numbers

By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:

[tex](2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =[/tex]

By definition of power properties we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, we have:

[tex]2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, the expression is equivalent to:

[tex]2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}[/tex]

ANswer:

Option B

Solve the following proportion for v. V/13=11/13
Round your answer to the nearest tenth.

Answers

Answer:

V = 11

Step-by-step explanation:

All you have to do here is to multiply both sides of this equation by 13.  This will eliminate the fractions.  You'll be left with V = 11.

Final answer:

To solve the proportion V/13 = 11/13, we can equate V to 11 since identical denominators imply equal numerators. No further calculations or rounding needed as V is a whole number.

Explanation:

To solve the proportion V/13 = 11/13 for V, we can see that both sides of the equation are divided by the same number, 13. Since the denominators are equal, we can deduce that the numerators must also be equal for the proportion to be true.

Therefore, the value of V must be equal to 11, as V/13 matches 11/13. There is no need for further calculations or rounding since 11 is already a whole number.

Learn more about Proportion here:

https://brainly.com/question/14752332

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A cone has a height of 2.5 inches and a radius of 5 inches. What is the volume of the cone?

Answers

Answer: [tex]65.44\ in^3[/tex]

Step-by-step explanation:

To calculate the volume of a cone you can use this formula:

[tex]V_{(cone)}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height of the cone.

In this case you know that this cone has a height of 2.5 inches and a radius of 5 inches. Then:

[tex]h=2.5\ in\\r=5\ in[/tex]

Finally, you need to substitute these values into the formula. Then you get that the volume of the cone is:

 [tex]V_{(cone)}=\frac{1}{3}\pi (5\ in)^2(2.5\ in)\\\\V_{(cone)}=65.44\ in^3[/tex]


What is the measure of arc QR?
26°
52
104
128°

Answers

The answer to this question is option C. 104 °

(Late answer!)

A line contains the point 0,2. If the slope of the line is m=-6 write the equation of the line using slope intercept form

Answers

Answer:

y = -6x + 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-interept (0, b)

We have the slope m = -6 and the point (0, 2) → b = 2.

Substitute:

y = -6x + 2

If anyone could please help me with this question???I know that you can get three triangles out of the shape.

Answers

Answer:

See below.

Step-by-step explanation:

The triangles are similar because  the angles marked 125 are equal and the sides either side of these angle are in the same ratio:

1.3 / 2.5 = 2.6 /5.

If we are given the length of AE we would find CF from the equation:

1.3 / 2.5 = CF / AE

CF = (1.3 * AE) / 2.5.

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