Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  (3x +6)° = 31° +35°

  3x +6 = 66 . . . . . . . . . . divide by °, collect terms

  3x = 60 . . . . . . . . subtract 6

  x = 20 . . . . . . . divide by 3

The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.

  y = 180° -66° = 114°

The values of x and y are 20 and 114°, respectively.

Answer:

39x - 63

Step-by-step explanation:

5(3x - 3) + 4(6x - 12) ← distribute both parenthesis

= 15x - 15 + 24x - 48 ← collect like terms

= 39x - 63

Answer: 6:4

Step-by-step explanation: The total of marbles doesn't change just the green total total.

Answer:

3 marbles of what are removed (green red or blue)

Step-by-step explanation:

60 marbles=red+blue+green

red:blue

(13 : 3)

blue:green

( 3 : 4)

red:blue:green

13 : 3 : 4

13/20×60=39 red marbles

3/20 × 60=9 blue marbles

4/20× 60= 12 green marbles

60-3

=57

x-3

Answer:

See below ↓

Step-by-step explanation:

Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]

Answer:

The following measurements are:

[tex]m\angle{STR}=23^\circ[/tex] (Option #4)

[tex]m{QT}=142^\circ[/tex] (Option #7)

[tex]mST=134^\circ[/tex] (Option #5)

[tex]mRQ=38^\circ[/tex] (Option #2)

Step-by-step explanation:

To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

[tex]46=2\theta\\23=\theta[/tex]

Next, we can find the measure of arc QT using the same theorem. So,

[tex]QT=2(71)\\QT=142[/tex]

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:

[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]

We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:

[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]

disclaimer: I'm not 100% sure if this is correct

9.66, or 10 if you rounded it up

I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0

I hope this helps! if not, i am deeply sorry, friend.

,SivethTheDragon

The Average Daily Balance for Julia's credit card in April is approximately $846.33.

Here, we have,

To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:

Set 1: April 1 to April 9 (9 days)

The balance remains at $300 because no purchases were made during this period.

Set 2: April 10 to April 17 (8 days)

Julia makes a purchase of $250 for groceries on April 10.

Therefore, the balance for these 8 days is $300 + $250 = $550.

Set 3: April 18 to April 22 (5 days)

Julia makes a purchase of $800 for a new phone on April 18.

Therefore, the balance for these 5 days is $550 + $800 = $1350.

Set 4: April 23 to April 30 (8 days)

Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.

To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:

(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days

= ($2700 + $4400 + $6750 + $11440) / 30

= $25390 / 30

= $846.33 (rounded to the nearest cent)

Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.

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The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

An equation is an expression that shows the relationship between two or more variables and numbers.

Let t represent the time after Tom joined.

number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10

number of potatoes peeled by Tom = 4t

Since they are 64 potatoes, hence:

2t + 10 + 4t = 64

t = 9 minutes

number of potatoes peeled by Tom = 4(9) = 36 potatoes

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

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Answer: The following is listed below.

Step-by-step explanation: The following pairs are below:

Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!

Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.

Have a great day! :)

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

-6y - 30 = -6 • (y + 5)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : -6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : y+5 = 0

Subtract 5 from both sides of the equation :

y = -5

One solution was found :

y = -5

Answer: y=-5

Explanation:

3y-1-9y=29

3y-9y=-6y

-6y-1=29

+1 on both sides

-6y=30

÷-6

y=-5

Answer:

1/8%

Step-by-step explanation:

just divide the 72 and 9 , the 9 divide it as a percentage

Step-by-step explanation:

100% = 72

1% = 100%/100 = 72/100 = 0.72

9 is that many % as 1% fits into it.

so,

9/0.72 = 12.5% = 12 1/2 %

the third answer option is correct.

The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.

An equation is an expression that shows the relationship between two or more numbers and variables.

Sum of each row = sum of each column = x + 2 + x + 2 = 2x + 4

Hence:

a + x + 2 + 2 - x = 2x + 4

a = 2x

b + 5 - x + x = 2x + 4

b = 2x - 1

c + 5 - x + 2x = 2x + 4

c = x - 1

d + 2 + x - 1 = 2x + 4

d = x + 3

The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.

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Answer:

False

Step-by-step explanation:

probabilities are or are between 0 and 1

1 means complete certainty

toppr

Answer:

The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.

Step-by-step explanation:

To solve this equation first you expand:

14x - 6 = 9

Then solve from there:

14x = 15

x = 15/14

Hey there!

Use the distributive property and distribute 2:

2(7x-3)=9

14x-6=9

Now, add 6 to both sides (remember the golden rule of algebra)

14x=15

divide both sides by 14

x=15/14 (improper fraction)

x=1+1/14 (mixed number)

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

hope this helps

Step-by-step explanation:

The percentage 68% is converted into a fraction number as 17/25.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.

The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.

⇒ 68%

⇒ 0.68 x 100 / 100

⇒ 68 / 100

⇒ 17 / 25

The percentage 68% is converted into a fraction number as 17/25.

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Answer:

If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither

Step-by-step explanation:

Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none

The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300

Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:

I = PRT

I is interest, P is principal, R is rate and T is period

Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:

I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300

The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300

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Answer:

12.

Step-by-step explanation:

Replace the x by 2 and evaluate:

f(2) = 5(2 - 3) + 17

= -5 + 17

= 12.

The value of function f (2) is, 12

We have to give that,

The function is defined as,

f (x) = 5 (x - 3) + 17

Substitute x = 2 in the above function,

f (x) = 5 (x - 3) + 17

f (2) = 5 (2 - 3) + 17

f (2) = 5 × - 1 + 17

f (2) = - 5 + 17

f (2) = 12

Thus, The value of a function at x = 2 is,

f (2) = 12

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Answer:

arc AD = 126°

Step-by-step explanation:

the inscribed angles ABD and ACD are half the measure of their intercepted arc AD

then ∠ ABD and ∠ ACD are congruent , so

11x - 3 = 8x + 15 ( subtract 8x from both sides )

3x - 3 = 15 ( add 3 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

then

∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus

arc AD = 2 × 63° = 126°

Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

" Sale price is defined as the amount on which something is sold out."

Formula used

Sale price = Cost price - Discount amount

According to the question,

Cost price of the crate of pears = $50

Discount  on sale price = 10%

Discount amount = 10% of $50

                             [tex]=\frac{10}{100}(50) \\\\= \$5[/tex]

Substitute the value in the formula of sale price we get,

Sale price = [tex]\$ ( 50 - 5)[/tex]

                 = $ 45

Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

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Answer:

14

Step-by-step explanation:

2x((5-3)+(7-2)) = 14

Answer:

is the amount of space it occupied 18

Answer:

The value of k = 16 and the measure of unknown angle is 48°

Step-by-step explanation:

=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }

=> 132°+3k° = 180°

=> 3k° = 180°-132°

=> 3k° = 48°

=> k = 48/3

=> k = 16

The measure of unknown angle is 3×k = 3×16 = 48°

Wheres the ? n answers at for #3 n #4

Answer:

The awnser is 400 meter run

Step-by-step explanation:

i took the quiz

The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.

It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.

In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.

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