Find the gradient of the line segment between the points (8,6) and (10,12)

The statement and reasons which completes the two column table to prove that ∠BAC ≅ ∠CDB and ∠ACD ≅ ∠ABD, in the parallelogram ABCD can be presented as follows;

Statement \({}\)                                        Reasons

6. ΔACB ≅ ΔDCB \({}\)                            ASA congruence

7. ∠BAC ≅ ∠CDB\({}\)                             CPCTC

8. m∠ACD = m∠ACB + m∠DCB \({}\)     Angle addition postulate

12. m∠ACD = m∠ABD \({}\)                     Substitution

A parallelogram is a quadrilateral that has a pair of parallel and congruent facing sides.

The details of the reasons used to prove the congruence of the angles are presented as follows;

4. Reflexive property of congruence; The reflexive property states that a part or figure is congruent to itself

5. Alternate interior angles theorem; The alternate interior angles theorem states that alternate interior angles formed by parallel lines and a transversal are congruent.

6. Angle addition postulate; The angle addition postulate states that the sum of two adjacent angles is equivalent to the measure of the larger angle that they form together

7. Definition of congruent angles; Congruent angles are angles that have the same angular measurement

8. Substitution property; The substitution property states that if a = b, then b can substitute a in an equation and the equation remains correct or true.

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The given relation is function, because the curve of y = p(x) has its exist for every x in its domain(-6, 3) and the range of the function is lies between (-1, 9).

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent while Y is dependent variable.

As Clearly the shows in the graph the structure is decreasing, increasing and then decreasing. And implies, curve is continuous in its limits and for every x (-6,3) there is exist in range of y(-1, 9).

Thus, The given relation is function, and domain is (-6, 3) and the range of the function is lies between (-1, 9).

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The fraction of the pitcher each type of juice are 1/3 and 2/3

From the question, we have the following parameters that can be used in our computation:

Parts = 6

Orange juice = 1

Peach juice = 2

using the above as a guide, we have the following:

Orange juice  : Peach juice = 1 : 2

Multiply by 2

So, we have

Orange juice  : Peach juice = 2 : 4

When represented as a fraction, we have

Orange juice = 1/3

Peach juice = 2/3

Hence, the fractions are 1/3 and 2/3

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Answer:

let

hypotenuse[h]=60ft

base[b]=36ft

perpendicular [p]=48ft

by using Pythagoras law

p²+b²=h²

48²+36²=60²

2896≠3600

since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

Answer:

yup i know no nope

Step-by-step explanation:

The preimage of the image after translation are shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The rule of the translation are,

T <2, - 5> (x, y)

Here, The coordinates of the image are,

(- 7, 7) , (- 2, 3) and (2, 7)

Since, The rule of the translation are,

T <2, - 5> (x, y)

Hence, The new coordinates of the pre - image are,

(- 7, 7) = (- 7 + 2, 7 - 5) = (- 5, 2)

(- 2, 3) = (- 2 + 2, 3 - 5) = (0, - 2)

(2, 7) = (2 + 2, 7 - 5) = (4, 2)

Thus, The new coordinates of the pre - image are,

(- 5, 2) , (0, - 2) and (4, 2)

Therefore, The preimage of the image after translation are shown in figure.

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6 bits of information is conveyed with one sexagesimal digit

Given that,

The sexagesimal (base 60) number system was created by the Babylonians about 4000 years ago.

To find : how many bits of information is conveyed with one sexagesimal digit?

Each sexagesimal digit in comparison to the binary system, which only represents two values, represents 60 different values. Therefore, each sexagesimal digit needs 6 bits in binary to express it. When 400010 is converted to sexagesimal, the four-digit number is represented by 1, 52, the sixth sign, and then a zero.

Therefore, 6 bits of information is conveyed with one sexagesimal digit

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Answer:

Step-by-step explanation:

20% of 30 is 6

Words: 6 Students in Ms. Martin's class did not do their homework.

hope this helps :)

The capacity of the elevator is 15 children or 11 adults. If 9 children are currently on the elevator, then there are 15 - 9 = 6 spots available for either children or adults.

However, since the maximum number of adults the elevator can hold is 11, the answer to the question is 11 - 9 = 2 adults can still get in.

You can act for the unknown amounts by the use of variables. Follow ignoring the description is and convert it one by one mathematically. For example, if it is asked to increase some item by 5, then you can add 5 in that item to increase it by 5.

If a thing is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

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The probability that a student earned a score of at least 3 is, 0.610.

Therefore, the correct option is option e. 0.610

To find the probability that a student earned a score of at least 3, we need to sum the probabilities of scoring a 3, 4, or 5.

Probability of scoring at least 3 = Probability(3) + Probability(4) + Probability(5)

Probability of scoring at least 3 = 0.249 + 0.217 + ?

We know that the sum of all probabilities must equal 1, so we can solve for the missing probability:

0.235 + 0.155 + 0.249 + 0.217 + ? = 1

? = 0.144

Now we can complete the calculation:

Probability of scoring at least 3 = 0.249 + 0.217 + 0.144 = 0.61

Therefore, the answer is e. 0.610.

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Answer:

The numbers are codes that Russians used to communicate with their spies. Historically they really did have "number stations" where they broadcast series of numbers in radio. ... Hudson repeats the numbers to Mason over and over throughout the interrogation, hoping he can translate it.

Answer:

22

Explanation:

The cell phone plan costs $39.99 per month plus $0.18 for each text message.

Let the number of text messages sent or receive = t

The cost, C in a month will be:

If you have at most $44 to spend, it means the cost can be less than or equal to $44.

We then solve the inequality for t.

Since text messages cannot be decimal, the maximum number of text messages that you can send or receive next month is 22.

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer: B jus times two 8s

Answer:

He score -12 for the 6 holes

Step-by-step explanation:

6 * -2 = -12

hi

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

4=distributive property

5=subtraction property of equality

6=addition property of equality

7 = -11=x

8= x=11

Answer:

Step-by-step explanation:

Let the number of files he had be x

He gave 3/5 of the files

That's

3/5x

After that he still had 14 files left which means when we subtract 14 from the original files we should get 3/5 of the original files

So we subtract 14 from the original number of files

That's

x - 14

We equate the two statements

that's

\( \frac{3}{5} x = x - 14\)

Multiply through by 5

\(5 \times \frac{3}{5} x = 5x - 70\)

We have

3x = 5x - 70

3x - 5x = 70

-2x = - 70

Divide both sides by -2

We have the final answer as

Therefore he had 35 files at first

Hope this helps you

Answer:

35 files

Step-by-step explanation:

gave=3/5

left=2/5 = 14f

had= 5/5

2/5=14

5/5

5×14÷2 = 35

Answer:

y = x² + 2

y = -5/x

Step-by-step explanation:

Linear & Nonlinear Definition:

From choices:

Therefore, y = x²+2 and y = -5/x are nonlinear.

Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.

Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.

Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.

To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:

Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)

In this case, the interest rate is 5.7% compounded quarterly, so:

Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%

And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.

Now, we can plug in the values into the formula:

Future Value = Principal * (1 + (1.425 ÷ 100))^(76)

Future Value = Principal * (1.01425)^76

Future Value = 29,000

Solving for Principal, we get:

Principal = 29,000 ÷ (1.01425)^76

Rounding to the nearest hundred dollars, we get:

Principal = $18,900

So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

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The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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A function is a mathematical relation between two sets of values that assigns a unique output to each given input.

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

I) f(x)- 2G(x) = 5x³-8x²+18x-13

II) 2f(x)+3G(x) = 31x³+26x²-34x+30

III) 1/2f(x)+ G(x)​ = 17/2x³+8x²-12x19/2

Here, we have

f(x)= 11x³+4x²-2x+3, G(x)= 3x³+6x²-10x+8

We have to find  I) f(x)- 2G(x), ii) 2f(x)+3G(x), iii) 1/2f(x)+ G(x)​

I) f(x)- 2G(x) = 11x³+4x²-2x+3 -2(3x³+6x²-10x+8 )

= 11x³+4x²-2x+3 - 6x³-12x²+20x-16

= 5x³-8x²+18x-13

Hence, the value of f(x)- 2G(x) is 5x³-8x²+18x-13.

II) 2f(x)+3G(x) = 2(11x³+4x²-2x+3)+3(3x³+6x²-10x+8 )

= 22x³+8x²-4x+6+9x³+18x²-30x+24

= 31x³+26x²-34x+30

Hence, the value of 2f(x)+3G(x) is 31x³+26x²-34x+30.

III)  1/2f(x)+ G(x)​ = 1/2(11x³+4x²-2x+3) + (3x³+6x²-10x+8)

= 11/2x³+2x²-2x+3/2+3x³+6x²-10x+8

= 17/2x³+8x²-12x19/2

Hence, the value of 1/2f(x)+ G(x)​ is 17/2x³+8x²-12x19/2.

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Answer:

Answer : All of them (question is unclear)

Step-by-step explanation:

I agree with the earlier answer, this needs to be worded differently. All of these numbers are equal to or greater than 256, but there is no product. I would suggest editing your question to make it more clear. Thank you.

The arithmetic and geometric average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -7.3 percent, 4.1 percent, and 9.5 percent are 4.78% and 4.58% respectively.

The shares of ownership in a corporation or company that make up stock (also known as capital stock) in the financial world. A single share of stock represents a fractional ownership in the firm in relation to the entire number of shares (especially in American English, where the word "stocks" is also used to refer to shares). This typically entitles the shareholder (stockholder) to that portion of the company's earnings, proceeds from the sale of assets (after paying off all senior claims such as secured and unsecured debt), or voting rights, often allocating these in proportion to the amount of money each stockholder has invested.

Calculations:

Arithmetic returns=Total returns/Total time period

=(9.4+8.2-7.3+4.1+9.5)/5=4.78%

Geometric returns=[(1+rate1)(1+rate2)........(1+rate5)]^(1/5)

=[(1+0.094)(1+0.082)(1-0.073)(1+0.041)(1+0.095)]^(1/5)

=4.58%

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The relation R is an equivalence relation.

The relation R defined on set S of positive integers where x R y means that x divides y or y divides x is reflexive, symmetric, and transitive.

Reflexive property: For any positive integer x, x divides x (or x is a multiple of x). Therefore, x R x for all x in S.

Symmetric property: If x divides y, then y is a multiple of x. Similarly, if y divides x, then x is a multiple of y. Therefore, x R y implies y R x. Hence, the relation R is symmetric.

Transitive property: If x divides y and y divides z, then x must divide z (since x is a factor of y and y is a factor of z). Similarly, if y divides x and z divides y, then z must divide x. Therefore, if x R y and y R z, then x R z. Hence, the relation R is transitive.

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Answer:

2π r = Circumference formula

2π r = 18

r = 18/2π

r= 2.86cm

Hope this helps :)!

I'd appreciate if you'd mark me brainliest because ive been stuck on the same rank for wayyy too long :(

Goodluck! :)

Answer:

2.87 is the approximate radius

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

18 = 2 pi r

Divide each side by 2pi

18/2pi = 2 pir/ 2pi

9/pi = r

Letting pi be approximated by 3.14

9/3.14 = r

2.866242038

2.87 is the approximate radius