∠A and ∠B are supplementary, and ∠A and ∠C are supplementary. Which conclusion is valid? Select one: A. ∠B and ∠C are supplementary. B. ∠B and ∠C are acute. C. ∠B and ∠C are complementary. D. ∠B and ∠C are congruent.

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer: 233.75 with sales tax rate of $20.62

Step-by-step explanation: eeee

find the amount of the discount, and change the rate of discount to a decimal: 15% changed to 0.15. Multiply the cost by the rate of discount. Subtract the amount of discount from the cost.

hope i helped! :)

Answer:

XY ≈ 14.87 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = X(- 6, 3) and (x₂, y₂ ) = Y(8, - 2)

d = \(\sqrt{(8+6)^2+(-2-3)^2}\)

   = \(\sqrt{14^2+(-5)^2}\)

   = \(\sqrt{196+25}\)

   = \(\sqrt{221}\)

   ≈ 14.87 ( to 2 dec. places )

Katherine has completed 25% of the trip

Katherine is on an airplane for a trip to Spain

The trip would take 12 hours

She has flown 3 hours so far

The percentage of the trip completed can be calculated as follows

= 3/12 × 100

= 0.25 × 100

= 25

Hence the 25% of the trip has been completed so far

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Answer:

x = 26

Step-by-step explanation:

sum of consecutive interior angles is 180

2(x + 15) + (3x + 20) = 180

2x + 30 + 3x = 160

5x = 130

x = 26

Answer:

value of x is 26.

Step-by-step explanation:

Given:

2(x+15)°+(3x+20)°=180°

Since the sum of angle of co interior angle is supplementary.

Solving for x.

2(x+15)°+(3x+20)°=180°

2x+30+3x+20=180

5x+50 =180

5x=180-50

5x=130

x=130/5

x=26

Therefore value of x is 26.

Answer:

c

Step-by-step explanation:

because if you solve the problem it is equal to c

Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

The most appropriate way to report the distance driven using the car's odometer is upto tenth of the total miles.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

A car's odometer measures distance to the nearest 0.1 miles.

This means,

The distance traveled by car can be measured up to one decimal point.

i.e

Upto tenth of the total miles.

So,

The most appropriate way to report the distance driven using the car's odometer is upto tenth of the total miles.

Thus,

The most appropriate way to report the distance is upto tenth of the total miles.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Therefore , the solution of the given problem of function comes out to be  f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.

Here,

Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.

The function in this instance is f(x) = (4x² - 36)/(x - 9)

=> 4x² - 36 = 0

To make the equation simpler, we can factor out a 4:

=> 4(x² - 9) = 0

We can factor further based on the difference of squares we now have:

=> 4(x + 3)(x - 3) = 0

We may determine the x-values where the function crosses the x-axis by setting each element to zero:

=> x + 3 = 0 or x - 3 = 0

To find x, solve for:

=> x = -3 or x = 3

The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

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Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

\(\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2\)

\(\\ \tt {:}\longrightarrow (5)^2\)

\(\\ \tt {:}\longrightarrow 25cm^2\)

Now

\(\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height\)

\(\\ \tt {:}\longrightarrow 25\times 8\)

\(\\ \tt {:}\longrightarrow 200cm^3\)

It would take approximately 11.6 years for the account balance to reach $20,000 if compounded annually.

The costs a borrower pays a lender for a loan are known as interest. For instance, banks charge interest on the loans that consumers take out.

Simple interest is the term used to describe interest that is based on the principle amount that a person borrows or invests. Contrarily, compound interest is computed on the principle borrowed or invested by the individual as well as the accrued interest from the prior period.

The formula for compound interest is:

A = P(1 + r/n)ⁿˣ

where, A is the amount

P is the principal amount = $10,000

r is the rate = 6% = 0.06

x is time.

n = 1

Substituting the values,

$20,000 = $10,000(1 + 0.06/1)¹ˣ

2 = (1.06)ˣ

Taking the natural logarithm of both sides:

ln(2) = t * ln(1.06)

t = ln(2) / ln(1.06) ≈ 11.6

Therefore, it would take approximately 11.6 years for the account balance to reach $20,000.

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Answer:

What statements, the statements aren't listed in the question?

Step-by-step explanation:

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

Mr. Smith shook 54 hands

Step-by-step explanation:

28 couples are a group of two people,so, 28 *2 equals to 55, subract his spouse and it will be 54

Number of hands shake Mr. Smith can do is equals to 54 hands as per the data given.

"Permutation is the way of arranging the number of given object."

" Combination is the way of selecting the given number of objects."

According to the question,

Total number of couples present in a party = 28

Therefore,

Total number of people = 2 × 28

                                        = 56

Condition given,

Each person can not shake hand with his/her spouse and himself.

Therefore,

Number of hands shake Mr. Smith can do = 56 - 2

                                                                     = 54

Hence, number of hands shake Mr. Smith can do is equals to 54 hands as per the data given.

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Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

Answer:

∠5 = 39º

Step-by-step explanation:

∠1 + ∠2 + ∠3 = 180

∠1 + 48 + 93 = 180

∠1 = 180 - 48 - 93

∠1 = 39

Corresponding angles are congruent

∠5 = ∠1

∠5 = 39º

Answer:

i think it is 62.5

Step-by-step explanation:

Answer:

0.016

Step-by-step explanation:

Answer:

C. 8x²+x+3.

Step-by-step explanation:

A and B are not polynomials as they contain a division (A) and a square root (B).

D is a monomial ( just one term).

oc.8x²+x+3

Step-by-step explanation:

Which of the following is a polynomial?

OA. 5+x2²/X

OB. √x+2x-1

OC. 8x²+x+3

OD. 7x

Answer: C

Step-by-step explanation: you just multiple 40 by 4

Answer:

C) 160

Step-by-step explanation:

multiply each side by 40

the 40 from x/40 is eliminated and then you are left with x = 160

Answer:

32 Hamsters and 18 Birds

Step-by-step explanation:

B+H=50

2B+4H=164

H=50-B

4(50-B)+2B=164

200-4B+2B=164

200-2B=164

-2B=164-200

-2B=-36

-2B/-2=-36/-2

B=18

---

50-18=32

H=32

---

CHECK: 18+32=50

CHECK: 18 X 2=36 LEGS

CHECK: 32 X 4= 128 LEGS

CHECK: 128+36=164 LEGS IN TOTAL

Answer:

1=50

2=90

3=60

4=60

5=60

6=60

7= 120

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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The answer is 369,072. This is the total number of copies sold to date.

An expression that uses symbols to represent the relationship between two or more values.

This is calculated by solving the equation 9.7% × x = 35,800, where x is the total number of copies sold to date.

To solve this equation, we first need to convert the percentage to a decimal.

To do this, we divide 9.7 by 100, giving us 0.097.

We can then multiply both sides of the equation by this decimal, giving us 0.097x = 35,800.

We can then solve for x by dividing both sides of the equation by 0.097. This gives us x = 369,072. This is the total number of copies sold to date.

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Answer:

(B) 2x + 90 = 180 is an equation that could be used to find x.

Step-by-step explanation:

Observing at the triangle, we can see that..

- We are aware of two angel measurements, both of which are 45 degrees.

One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...

45 + 45 = 90 degrees

180 - 90 = 90 degrees

As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )

Step 1 : 90 should be subtracted from both sides.

2x + 90 − 90 = 180 − 90

2x = 90

Step 2 : Divide both sides by 2.

(When I use the symbol /, it signifies I'm dividing.)

2x/2  = 90/2

x = 45

Step 3: Examine your solution to see whether it is right.

2x + 90 = 180

2(45) + 90 = 180

90 + 90 = 180 ✓

This shows that 2x + 90 = 180 is an equation that could be used to find x.

Hope this helps! :D