Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.......° and mAC=....°

Answers

Answer 1

Inscribed angles are formed when two chords have 1 common endpoint. The measure of [tex]\angle ACB[/tex] and [tex]\overset{\huge\frown}{AC}[/tex] are:

[tex]\angle ACB = 32^o[/tex]

[tex]\overset{\huge\frown}{AC} = 146^o[/tex]

Given that:

[tex]\overset{\huge\frown}{AB} = 64^o[/tex]

[tex]\angle ABC = 73^o[/tex]

See attachment

First, we calculate [tex]\angle ACB[/tex] using:

[tex]\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}[/tex] ----- An inscribed angle is half the arc it intercepts

So, we have:

[tex]\angle ACB = \frac{1}{2} \times 64^o[/tex]

[tex]\angle ACB = 32^o[/tex]

Using the same theorem, we calculate [tex]\overset{\huge\frown}{AC}[/tex] as follows:

[tex]\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]

So, we have:

[tex]73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]

Multiply both sides by 2

[tex]2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]

[tex]2 \times 73^o =\overset{\huge\frown}{AC}[/tex]

[tex]146^o =\overset{\huge\frown}{AC}[/tex]

Hence:

[tex]\overset{\huge\frown}{AC} = 146^o[/tex]

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Answer 2

Answer:

your correct answers are 32 and 146

Step-by-step explanation:

to get 32, divide 64 by 1/2

To get 146, multiply 73 by 2

Hope I helped, got it right on test:)

Related Questions

Danny is trying to determine the product between a rational and irrational number

Answers

Answer:

2√3=2√3, which is irrational

Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table

Answers

Answer:

Vertex Coordinate Vertex Coordinate

A (1, 1) AEF (1, 1)

B (2, 3) BEF (3, 2)

C (3, 2) CEF (2, 3)

D (2, 1) DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

What is an Expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

How to solve it?

We have

Vertex Coordinate Vertex Coordinate

A (1, 1) AEF (1, 1)

B (2, 3) BEF (3, 2)

C (3, 2) CEF (2, 3)

D (2, 1) DEF (1, 2)

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What is the value of 6 x 90.6 ?

Answers

Answer:

543.6

Step-by-step explanation:

=> 6 x 90.6

=> 543.6

The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width

Answers

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:

Which represents a function

Answers

Answer:

the one on the right

Step-by-step explanation:

one input cannot have more than one output

How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800

Answers

Answer:100/400

Step-by-step explanation:

The answer is 10 calories per minute, will tai burn in 1 minute while biking.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

We do not have much information to go on such as the speed that Tai is biking or his/her weight.

Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.

Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.

Therefore we can assume that Tai is burning roughly 10 calories per minute.

his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

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complete question:

How many calories will tai burn in 1 minute while biking? Enter the answer in the box.

Owen is fishing from a dock he starts with the bait 2 feet below the surface he reels out the boat 19 feet then reels it back in 7 feet what is the final position of the bait relative to the surface of the water

Answers

Answer:

The bait is 14 feet below the water surface

Step-by-step explanation:

Here, we want to know the final position of the bait relative to the surface of the water.

Firstly, he starts with the bait at 2 feet below the water surface. The reels out the bait a further 19 feet, the new position of the bait relative to the water surface will be 2 + 19 = 21 feet

Now, he reels the bait back by 7 feet.

Thus, the new depth of the bait relative to the water surface will be 21-7 = 14 feet

what is the value of x in the equation 3x-4y=65 when y=4 HELLP PLEEAASE !!!!

Answers

Answer: x=27

Step-by-step explanation:

How do you divide 506 in the ratio 2:4:5 ?

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Answer:

Step-by-step explanation:

If the ratio is 2:4:5 there are 2+4+5=11 equal parts...

506/11=46

So each part is equal to 46 so 506 in a ratio of 2:4:5 is:

92:184:230

C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)

Answers

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

Total cost to produce 1000 shirts will be $3500.

Linear equation: A linear equation with two variables 'x' and 'y' are given by,

y = mx + b

Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

If C(x) = $800, x = 100,

800 = m(100) + 500

m = 3

Equation for the total cost to produce the 'x' shirts will be,

C(x) = 3x + 500

If x = 1000,

C(x) = 3(1000) + 500

x = $3500

Therefore, total cost to produce 1000 shirts will be $3500.

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The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag

Answers

Answer: 15

Step-by-step explanation: 5/9=15/27. 27-15=12

The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

What is Ratio?

A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For given information,

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/(5+9)= 9/14

The total number of skittles = Yellow + Blue

in this Y as yellow; Y+12 as blue.

Y + Y + 12 = 2·Y + 12

The fraction of the total skittles that are blue = 9/14

we have 9/14 × (2·Y + 12) = Y + 12

-> 9 × (2·Y + 12) = 14 × (Y + 12)

-> 18·Y + 108 = 14·Y + 168

-> 18·Y - 14·Y = 168 - 108 = 60

-> 4·Y = 60

-> Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

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Find the distance between each pair of points
L(-7,0) ,Y(5,9)

Answers

Answer: The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2 where d is the distance

144 + 81 = d^2

225 = d^2

d= [tex]\sqrt{225}[/tex]

d= 15

Solve for d. dt=v What is d equal to? A. d=vt B. d=t/v C. d=v-t D. d=v/t

Answers

Answer: I think the answer is "d = vt"

Step-by-step explanation:

Multiply both sides of the equation by;

t * d = v * (t)

Multiply, v by t

Answer; d = vt

Hope this helps :)

The value of d, is equivalent to d = v/t.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

dt = v

We have -

dt = v

d = v/t

Therefore, the value of d, is equivalent to d = v/t.

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I NEED SERIOUS HELP NOW PLZ
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.

Answers

Answer:

Step-by-step explanation:

Hello,

[tex](y-9)^2=(y-9)(y-9)=y^2-2*9*y+9^2=y^2-18y+81[/tex]

thanks

Answer:

yes

Step-by-step explanation:

Please help, Solve Systems of Linear Equations

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Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system: