Lines AB and C'D are parallel. Find the measures of the three angles in triangle ABF.

574 cereal bars will be placed in bags of 10 and bags of 8 by David. The number of bags of 8 is 33 and number of bags of 10 is 31.

Given that,

574 cereal bars will be placed in bags of 10 and bags of 8 by David. Two more bags of eight than bags of ten make up the total.

We have to find how many 10 and 8-bag sets of cereal bars can David fit.

Let us take,

x be number of bags of 8 and y be number of bags of 10.

So, we can write as

8x+10y=574→equation(1)

x=y+2→equation(2)

Taking the x value form equation(2) and putting in equation (1).

We get,

8(y+2)+10y=574

8y+16+10y=574

18y+16=574

18y=574-16

18y=558

y=558/18

y=31

We got y=31 substitute y value in equation(2).

x=31+2

x=33

Therefore, the number of bags of 8 is 33 and number of bags of 10 is 31.

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The correct option is (D) x+51=180

The equation which can be used to determine the value of x is , x+51=180

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.

Some common terms related to angle :

In the given question:

as (x-15) and 66 are supplementary angles therefore their sum is 180

i.e. (x-15) + 66 = 180

now solve the equation further,

=> x + 51 = 180

Thus, the correct option is the last option.

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The first year profit of the local internet provider was $ 22,389.04.

According to the statement, we find that the profit of the company in its second year of operation is 666 % greater than its profit in its previous year, that is, the profit in its second year of operation is 7.66 times the profit in its first year of operation. Then, the missing profit is found by using the following arithmetic expression:

x = 171,500 / 7.66

x = 22,389.04

The first year profit of the local internet provider was $ 22,389.04.

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We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]

A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is

V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere

In the question it is given that radius of the sphere when fully inflated is 15cm

V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]

Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].

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I don't know if u want this but ya :)

Solution:

Let f(x) = (x+3)^(1/3).

First, we have

lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)

So f(x) is continuous at a = -3.

Next we have

lim_(h → 0) [f(-3+h) - f(-3)] / h

= lim_(h → 0) h^(1/3) / h

= lim_(h → 0) 1 / h^(2/3)

= infty

Since the limit does not exist, f(x) is not differentiable at a = -3.

Answer: D

Answer:

Around 73cm

Step-by-step explanation:

314.16 is the area of the whole circle

shaded is 85/365 (around 23 percent)

Answer:

3(x+13)

Step-by-step explanation:

use the distributive property to multiply -3 by

3x -5

12x -9x + 15 + 24

then

combine 12x and -9x to get 3

add 15 + 24 to get 39

Answer:

x = 23

y = 139

Step-by-step explanation:

3x + 2x-5 + 70 = 180

5x = 115

x = 115/5

x = 23

y = 180 - (2x-5)

y = 180 - 41

y = 139

Answer:

10 ( 12913 ) or 12913 * 10^1

Step-by-step explanation:

(1.28 x 10^5) + (1.13 x 10^3)

--------------------------------------------

1.28 = 128/100 = 128/10^2

1.13 = 113/100 = 113/10^2

-------------------------------------------

(128/10^2 * 10^5) + (113/10^2 * 10^3)           <---- 10^5/10^2 = 10^3

(128 * 10^3) + (113 * 10^1)

10^1 ( 128 * 10^2 + 113)

10^1 ( 12800 + 113)

10 ( 12913 )

Answer:

f'(x) = 2.x.tan(x) + x²/cos²(x)

Step-by-step explanation:

f(x) = x².tan(x)

=> f'(x) = (x²)' . tan(x) + x². (tan(x))'

= 2x.tan(x) + x² . 1/cos²(x)

=> f'(x) = 2.x.tan(x) + x²/cos²(x)

In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:

Number of years, t = 2014 - 1995

Number of years, t = 19 years.

Substituting the years into the expression, we have;

Total average credit card debt = 417t + 5850

Total average credit card debt = 417(19) + 5850

Total average credit card debt = 7,923 + 5850

Total average credit card debt = $13,773.

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Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.

Percentages are ratios or portions of a variable in the whole number.

               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          40 hours              10.625%       No

Week 2            2.57                          40 hours                6.425%       Yes

Week 3            3.83                          40 hours                9.575%       Yes

Week 4            3.40                         40 hours                 8.500%      Yes

Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

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               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          10 hours

Week 2            2.57                           8 hours  

Week 3            3.83                           8 hours

Week 4            3.40                           8 hours

The area of the shaded region is equal to 425π / 18 square centimeters.

The picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:

A = (α / 360) · π · r²

Where:

If we know that α = 85° and r = 10 cm, then the area of the shaded region is:

A = (85 / 360) · π · 10²

A = 425π / 18 cm²

The area of the shaded region is equal to 425π / 18 square centimeters.

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Answer:

This is missing an explanation

Step-by-step explanation:

In this paragraph, there is no explanation as to why the reader should brush their teeth. The quote starts off by saying "You can brush and floss your teeth", yet only goes on to explain the reasons as to why flossing reduces your chances of getting cavities, and never touches on anything more about brushing. Therefore, the answer you are looking for is the last one, "This is missing an explanation".

Answer:

The answer is the bottom right diagram.

Step-by-step explanation:

Answer:

Two halves make a whole

34 + 24 + (1/2 + 1/2)

34 + 24 + 1

Answer:

AB=11.4

CD=24.4

Step-by-step explanation:

Since AD=11x+10.6, then AB+BC+CD = AD.

Hence,

2x+3+21+7x-5=11x+10.6

Combine like terms:

9x+19 = 11x+10.6

Subtract 9x on both sides:

19 = 2x+10.6

Subtract 10.6 on both sides:

2x=8.4

Divide by 2 on both sides:

x=4.2

Since AB=2x+3, AB=11.4

Since CD=7x-5, CD=24.4

The attached graph displays a linear function

The graph that completes the question is added as an attachment

On the line of the graph, we have the following equation

y = 2x - 3

The above equation takes the form of a linear equation (i.e. y = mx + c)

This means that the graph displays a linear function

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Graph B displays a

✔ nonlinear function; the rate of change is not constant.

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Given:

As "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).

x play all three sports:  Label the area that's in S, R and H with x.

8 play rugby only:  Label the area that is R only with 8.

36 play soccer only:  Label the area that is S only with 36.

28 play none of these sports:  Place 28 outside the three circles.

34 play soccer and rugby:  Place "34 - x" in the area that's in S and R.

40 play soccer and hockey:  Place "40 - x" in the area that's in S and H.

42 play hockey and rugby:  Place "42 - x" in the area that's in H and R.

72 play hockey

72 is the total for all the sections of H.

⇒ H = 72 - x - (40 - x) - (42 - x)

⇒ H = 72 - x - 40 + x - 42 + x

⇒ H = x - 10

Place "x - 10" in the area that is H only.

The total number of learners is 160.

Therefore, to find x, sum the areas of the Venn diagram and equal to 160:

⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160

⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160

⇒ 178 - x = 160

⇒ x = 178 - 160

⇒ x = 18

Finally, substitute x = 18 into the Venn diagram.

The right answer for the value of x is 4

Let us consider the small triangle to be ABC and the larger triangle to be ADE

where angle A is the common angle of both the triangle

By triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, the two sides are proportionally divided.

Thus line BC is parallel to DE and hence divides AB and AD as well as

AC and AE proportionally

Thus Triangle ABC is Similar to triangle ADE by SAS

Thus,

AB/BD=BC/DE=AC/CE

Thus, using AB/BD=AC/CE

it is given that AB=10,BC=7x-3,AC=8,CE=28-8=20

AB/BD=AC/AE

10/7x-3=8/20

10x20/8=7x-3

25+3=7x

x=4

Therefore, the correct value of the given X is 4

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24 grams per cubic centimeters equals 0.867 pounds per cubic inches

The quantity (x) is given as:

x = 24 grams per cubic centimeters

1 gram equals 0.00220462 pounds

So, we have:

x = 24 * 0.00220462 pounds per cubic centimeters

Evaluate

x = 0.05291088 pounds per cubic centimeters

1 cubic centimeters equals 0.0610237 cubic inches

So, we have

x = 0.05291088 pounds per 0.0610237 cubic inches

Rewrite as

x = 0.05291088/0.0610237 pounds per cubic inches

Evaluate

x =0.867 pounds per cubic inches

Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches

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the total distance covered by the bus is 41.67 km in 50 minutes.

For first 25 minutes:

Speed of the bus = 40 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 40 km / hr. × 25 / 60 hr.

Distance = 16.67 km

For the next 25 minutes:

Speed of the bus = 60 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 60 km / hr. × 25 / 60 hr.

Distance = 25 km

Total distance covered = 16.67 km + 25 km

Total distance covered = 41.67 km.

Therefore, we get that, the total distance covered by the bus is 41.67 km in 50 minutes.

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3.1.1

Answer:

Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.

Double-Entry Accounting

When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.

3.1.2

Fixed Debit or Fixed debt:

A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.

Types of fixed debts:

Flexible Debit Card :

The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.

One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.

Any type of debit card is a flexible debit card

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The balance owed on the credit card if the growth is exponential according to the equation is; $57,528.

It follows from the task content that the initial amount owed was; $800.

On this simple note, since the equation given in the task content for the exponential growth from above is;

f(x)=800(1+0.13)^x

So therefore, when x = 34.9 months; we then have;

f(x)=800(1+0.13)^34.9

f(x) = 800(1.13)^34.9

f(x) = 800 × 71.19

f(x) = $57,528

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Answer:

Point Form: (3,-4)

Equation Form: x=3 , y=-4

Step-by-step explanation:

This solution deals with linear equations with two unknowns.

6 WEEKS

2x + 28 = 4x + 16

x = 6

the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

Speed of the Cheetah = 70 miles / hour

1 mile = 5280 feet

Now, we will convert 70 miles into feet.

For this, we will use the operation of multiplication.

We will multiply 5280 to 70 to convert the miles into feet.

So, the speed of the Cheetah will become:

Speed of the Cheetah = 5280 × 70 / hour.

Speed of the Cheetah = 369600 feet / hour.

Therefore, we get that, the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

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Answer:

245

Step-by-step explanation:

it almost nneed 245 character

A) There are a total of 8 elements in the data set. The elements can be determined simply by counting the total number of tablets in the data set.

B) There are a total of five variables in the data set. These are as follows-

1. Cost  

2. Operating System

3. Display Size (inches)

4. Battery Life (hours)

5. CPU Manufacturer

C) Categorical Variables are generally the one that are descriptive in nature.

Here, the categorical variables are-

1. Operating System

2. CPU Manufacturer

Quantitative Variables are the numerical variables which are usually expressed in numbers, count or percentage.

Here, the quantitative variables are-

1. Cost

2. Display Size (Inches)

3. Battery Life (hours)

D) The nominal scale is used to assign the items which are divided into categories without having a specific order. The ratio scale has the property of identity and magnitude.

The type of scale is-

Cost ($) - Ratio Scale

Operating system - Nominal Scale

Display size (inches) - Ratio

Scale Battery life (hours) - Ratio Scale

CPU Manufacture - Nominal Scale

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Answer:

20 psectacles and scranbled