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

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:

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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2x-30+5x+2=2 plz help

Answers

Answer:

30/7

Step-by-step explanation:

So we have the equation:

[tex]2x-30+5x+2=2[/tex]

Combine like terms:

[tex](2x+5x)+(-30+2)=2[/tex]

Add:

[tex]7x-28=2[/tex]

Add 28 to both sides:

[tex]7x=30[/tex]

Divide both sides by 7:

[tex]x=30/7[/tex]

So, our answer is 30/7

Or approximately 4.2857 :)

Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether. Explain how you know

Answers

Answer:

15 pints of paint 6 red 9 yellow

Step-by-step explanation:

3x3=9 so 9 yellow pints

and 2x3=6 so 6 red pints

6+9=15 so 15 pints of paint in total

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

Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 millones de años a.C. Hasta 10.000 a.C.; el Mesolítico 10.000 a.C. Hasta 5.000 a.C. Y, el Neolítico sucedió desde el 5.000 a.C. Hasta el 2.500 a.C. ¿A qué fracción de la época prehistórica corresponde el período paleolítico? *

Answers

Answer:

El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.

Step-by-step explanation:

En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)

Época Prehistórica

[tex]\Delta T = -2500-(-2500000)[/tex]

[tex]\Delta T = 2497500\,years[/tex]

Período Paleolítico

[tex]\Delta t = -10000 - (-2500000)[/tex]

[tex]\Delta t = 2490000\,years[/tex]

La fracción de la época prehistórica que corresponde al período paleolítico es:

[tex]r = \frac{\Delta t}{\Delta T}[/tex]

[tex]r = \frac{2490000\,years}{2497500\,years}[/tex]

[tex]r = \frac{332}{333}[/tex]

El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.

What is the value of 6 x 90.6 ?

Answers

Answer:

543.6

Step-by-step explanation:

=> 6 x 90.6

=> 543.6

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

Answers

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

Simplify: -3(y+2)^2-5+6y

Answers

Answer:3y^2+18y+7

:) happy to help

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:

Which represents a function

Answers

Answer:

the one on the right

Step-by-step explanation:

one input cannot have more than one output

Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be

Answers

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

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

Answers

Answer:

2√3=2√3, which is irrational

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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A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?

Answers

⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of liters does the tank hold when full is 240 liters.

Number of liters

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of liters does the tank hold when full is 240 liters.

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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.

I need to know about the gradient

Answers

Answer:

Step-by-step explanation:

А
B
1. Village A, B and C lie on the edge of the Namib Desert.
Village A is 30 km due North of Village C. Village C is 65 km
due East of A.
Calculate the shortest distance between village C and B,
giving your answer to the nearest 0.1km

Answers

There answer would be A

How much should Jenna save up to prepare for car repairs and maintenance? (A lump sum emergency fund just for car repair/maintenance that may come up in the future)

Answers

Answer:

$500 per year.

Step-by-step explanation:

Car repairs and maintenance expense is based on the usage of car as well as its present condition. If the car is bought from showroom and is new then it will incur only small amount of expense as its maintenance but if the car is used by various owners then it is likely that maintenance expense can be huge. The average car repair expense is $500 to $800 per year depending on car condition. Since Jenna car is new she should keep the repair estimate to be minimum that is nearly $500 per year or $42 per month.

Using inductive reasoning, what number is the most reasonable conjecture for the next number in the pattern 27,23,19,15,

Answers

Answer:

Step-by-step explanation:

The pattern here is to subtract by 4, so 15-4=11

1.5r+15=2.25 just need help to show steps

Answers

Answer:

Step-by-step explanation:

Step 1: Subtract 15 from both sides.

1.5r+15−15=2.25−15

1.5r=−12.75

Step 2: Divide both sides by 1.5.

1.5r

1.5

−12.75

1.5

r=−8.5

Answer: r=-8.5

Step-by-step explanation:

1.5r+15=2.25

1.5r+15-15=2.25-15

1.5r=-12.75

1.5r/1.5=-12.75/1.5

r=-8.5

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:

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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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

A 12.5 oz box of cereal has a price of $2.07. What is the unit ratio of price to weight rounded to the nearest cent?

Answers

Answer:

16 cents

Step-by-step explanation:

The answer is 16 cents because 207 cents divided by 12.5 oz equals 16 cents.

the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival

Answers

Answer:

$9.35

Step-by-step explanation:

To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.

Popcorn $3.60

Drink $0.75

Ride $5.00

Total Cost $9.35

I hope this helps!

-TheBusinessMan

Answer:$9.35

Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35

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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1) f(x) = 3x - 4
g(x) – x2 + 3x
Find f(g(x))

Answers

Answer:

x=4/3

Step-by-step explanation:

Please help, Solve Systems of Linear Equations

Answers

Answer:

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

Step-by-step explanation using elimination:

Solve the following system: