A 30-sided regular polygon has an angle measure represented as 6g.

Determine the value of g

g = 30
g = 28
g = 180
g = 168

The measure and shape of the angle will not change when you translate it, only its location in space.

When you translate an angle, you are moving its position in space without changing its size or shape. The angle will maintain its measure, and the relationship between its sides and vertex will remain the same.

If you translate an angle by a certain distance in a specific direction, the new location of the angle will be a specified distance away from the original location in that direction. However, the angle itself remains the same, and it will not be affected by the translation process.

In other words, the measure and shape of the angle will not change when you translate it, only its location in space.

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The weight that Taylor's dad lifted higher will be 30g.

It should be noted that weight simply means the mass that a body contains.

From the information, Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight.

The weight that Taylor's dad lifted more than Davin's dad will be:

= Weight of Taylor's dad - Weight of Davin's dad

= 80 - 50

= 30g

The difference is 30g.

The complete question is written below.

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Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight. How much more did Taylor's dad lift than Davin?

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer

a) f(5) = 12

b) f(-1) = 6

c) f(-3) = 4

Explanation

We are given the function

f(x) = x + 7

We are then asked to evaluate a number of valus of x for the function

a) f(5)

f(x) = x + 7

f(5) = 5 + 7 = 12

b) f(-1)

f(x) = x + 7

f(-1) = -1 + 7 = 6

c) f(-3)

f(x) = x + 7

f(-3) = -3 + 7 = 4

Hope this Helps!!!

Answer:

-6 14/15

Step-by-step explanation:

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

Answer:

X has an infinite solution

Step-by-step explanation:

If we have an equation and we are solving for a variable, x, and our last line is 5 = 5, then we can draw the conclusion that all the x variables in the equation canceled out. This means that no matter what number is put in for x does not affect the outcome. For this reason there are an infinite number of solutions.

Answer:

11

Step-by-step explanation:

There was a total loss of $150.00 over those 6 days

1 - Simplify the word problem

A store makes a loss of $25 per day for 6 days

2 - Write a statement for it

d = days

t = total loss

25d = t

3 - Plug in the days for d

25(6) = t

150 = t

t = $150

There was a total loss of $150.00 over 6 days

Hope this helps :)

Answer:

84°

Step-by-step explanation:

Because every triangle has a combined side length of 180°

67+29=96°

180-96=84°

answer: he is really short lol (JK ignore this answer, look at the answer below)

Answer:

24 inches

Step-by-step explanation:

how many inches tall is Cody now?

since Cody grew half as much he is 2 feet tall now, which is 24 inches(it's asking for the answer in inches so do not put feet).

1 feet = 12 inches.

2 feet = 24 inches.

Ace Carlos

Answer:

43.2 inches

Step-by-step explanation:

if tyler has grown by 20℅ and cody is half as much then cody is 10℅.

if tyler is 4 feet then,

4 feet = 100℅

x. = 20℅

x = 20℅ × 4 feet /100℅

x = 0.8 feet

if cody has grown half as much, 0.8/2 = 0.4feet

if they were equal once to find Cody's height we can, 4feet-0.4feet = 3.6 feet = 43.2 inches

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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Answer:

1 hour and 40 minutes

Step-by-Step

4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

\(p = \frac{118}{2000} = 0.059\)

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

\(p = \frac{1698}{2000} = 0.849\)

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

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Following are the solution to the given points:

For point a:

i)

\(\to P(B \cup E) = P(B) + P(E) - P( B\cap E)\)

Where \(P(B \cap E) = 0\) because they are both separate occasions It is impossible to be a member of both departments.  

\(\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\\)

                    \(=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\\)

ii)

\(\to P(D^c) = 1 - P(D)\)

               \(=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\\)

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since \(P(B \cap E) = 0\). One would be a part of the both departments.

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Answer:

3

Step-by-step explanation:

Because C is 1 and D is 4, so 4-1=3.

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

Step-by-step explanation:

CD/6.5 = 2.6/4.9    This is the result of the angle bisector theorem.

The theorem basically says that the side opposite the angle being bisected is divided  the ratio of the sides enclosing the angle.

Multiply both sides of the proportion by 6.5

CD = 2.6 * 6.5 / 4.9

CD = 3.4489

CD = 3.4 rounded.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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The net change in the value of this stock for the week is $2.12.

The total change in the value of the stock is  $4.38.

We have,

a)

The net change in the value of the stock for the week is the difference between the closing price on Monday and the closing price on Friday.

Net change expression.

= $6.40 - $4.28

= $2.12

b)

The total change in the value of the stock is the sum of the absolute changes from day to day.

Total change expression.

= |$5.17 - $4.28| + |$4.79 - $5.17| + |$7.15 - $4.79| + |$6.40 - $7.15|

= $0.89 + $0.38 + $2.36 + $0.75 = $4.38

Thus,

The net change in the value of this stock for the week is $2.12.

The total change in the value of the stock is  $4.38.

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Answer:

See below

Step-by-step explanation:

Isosceles because two sides are same length

                 and

Obtuse because there is an interior angle greater than 90 °

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

So

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

Answer:

Question 1: A. x-12=14

Question 2: Alone=isolate, by itself=isolate, opposite=inverse

Question 3: D. 13-g=5

Question 4: C. 6p=30

Question 5: $3

Hope this helped :)

Step-by-step explanation:

In general, the logarithmic function definition states that

Therefore, in our case,

Answer:

3x = 15

x = 15÷3

x = 5

proof = 3×5=15

Step-by-step explanation:

Hope this helps you!!

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:

250

Step-by-step explanation:

Plz ve me brainlest