2. In the figure, is an exterior angle to . complete sentences


(a) What is m<3 ?

(b) What is m<4?


Answer:

Answer:  662.50 dollars

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Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

The expression without the absolute value symbol is given as follows:

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

The expression for this problem is given as follows:

7 - (12 - x).

The critical value of x is obtained as follows:

7 - (12 - x) = 0

7 - 12 + x = 0

x = 5.

Hence the expression is given as follows:

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1-30%

2-25%

3-50%

4- 11.111111111111111111 rounded =11%

5-6.6666666666667% rounded =6%

Answer:

1. 30%  

2. 25%  

3. 50%

4.  11.111111111111111111 rounded =11%  

5. 6.6666666666667% rounded =6%

Step-by-step explanation:

mark brainliest please

Answer: 36

Step-by-step explanation:

There are a total of 36 numbers, you can find that out by multiplying 6 x 6.

There is only 1 number pair can has a sum of 2 which is 1,1

Answer:

ight im on it

Step-by-step explanation:

What was the other question ?

Answer:

-8x + 4y = 24 ----> 2x - y = -6

-7x + 7y = 28 ----> -x + y = 4

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x = -2, y = 2

Answer: 8 people will go to e

Step-by-step explanation: it goes in order

Answer:

it would cost $267.50

Step-by-step explanation:

if u mutiply 22.50x 3 it equals $67.50 plus the 200 dollars

Answer:

14.4 fl ounces

Step-by-step explanation:

60% of 24 is 14.4

The percentage is calculated by dividing the required value by the total value and multiply it by 100.

100% = 24 fluid ounce

60% = 14.4 fluid ounce

The amount of soda in the glass of soda is 14.4 fluid ounces.

The percentage is calculated by dividing the required value by the total value and multiply it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

A glass of soda = 24 fluid ounce

A glass of soda = Soda + Ice

The percentage amount of ice in the glass of soda = 40%

The percentage amount of soda in the glass of soda.

= 100% - 40%

= 60%

A glass of soda = 24 fluid ounce

This can be written as,

100% = 24 fluid ounce

Multiply 60/100 on both sides.

60/100 x 100% = 60/100 x 24 fluid ounce

60% =  14.4 fluid ounce

Thus,

The amount of soda in the glass of soda is 14.4 fluid ounces.

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Answer: First, Second and Third.

Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.

The students can do 10 miles each week.

Your grandparents could have 20 pets.

The data can be plotted into a graph and this would count as statistical/numerical data.

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1

Answer:

V = 33.75 ft.^3

Step-by-step explanation:

V = Length x Height x Width

Length: 4.5 ft

Height: 2.5 ft

Width: 3 ft

V = 4.5 x 2.5 x 3 = 33.75 ft.^3

Answer:

To determine at what unit rate the turtle is crawling, divide 3/20 mile by 1/6 hour.

Therefore, the unit rate is 9/10 of a mile per hour

Step-by-step explanation:

The rate of turtle crawling is 4/23 miles per hour.

Given that, the time taken by turtle to crawl = 1/2 hour and number miles crawled by turtle = 2/23 mile

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Now, Speed = Distance/Time

= 2/23 ÷ 1/2

= 2/23 × 2/1

= 4/23 miles per hour

Hence, the rate of turtle crawling is 4/23 miles per hour.

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Answer:

3 times

Step-by-step explanation:

Answer:

divide x^2+x-8 to x-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

Answer:

Step-by-step explanation:

So our equation is:

(7x+5)+(5x+3)+(12x-20) = 276

First remove parenthesis:

7x+5+5x+3+12x-20=276

Combine like terms:

24x-12 = 276

Add 12 on both sides:

24x = 288

Divide:

288/24 = 12

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

Answer:

The y intercept should be 1

Answer:

C. A cube that is 1 yard long, 1 yard wide, 1 yard high

Step-by-step explanation:

A unit cube has a volume of 1 cubic unit.

This means that the length, width, and height are all 1 unit.

Answer choice C is the only one that has a cube with the length, width, and height at 1 unit.

This means it is a unit cube because the volume will be 1 cubic unit.

So, C is the correct answer.

Answer:

Step-by-step explanation:

wow

Answer:

year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $7000.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:

The interest is: $420.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 7000.00 + 420.00 = 7420.00. For example:

If you borrowed the $7000.00, you would now owe $7420.00

If you loaned someone $7000.00, you would now be due $7420.00

If owned something, like a $7000.00 bond, it would be worth $7420.00 now.

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Lets go through each answer choice and check if it is correct.

A: False. 50% of 70 is not 31.

B: False. 17% of 70 is not 17.

C: False. The fraction 8/70 does not simplify to 2/25.

D: Correct. The fraction 14/70 simplifies to 2/10.

Answer:

The answer is D, On average, 2 out of 10 adults visited the museum most frequently.

Step-by-step explanation:

You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.

Answer:

60

Step-by-step explanation:

Hope that helps! :)

Answer:

1. 3.9284 x 10^4 or 39284

2. 5.86728 x 10^4 or 58672.8

3. 2.07341587 x 10^3 or 2073.41587098

4. 183.80166497

5. 8.74411916 x 10^6 or 8744119.16410072

Step-by-step explanation:

Answer:

11 over 25 square foot

Step-by-step explanation: