Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)

We can prove that if the diagonals of a quadrilateral bisect each other and one angle of a quadrilateral is a right angle, then the quadrilateral is a rectangle.

Let ABCD = a quadrilateral such that its diagonals AC and BD bisect each other at point O.

Let ∠A = a right angle.

Required: Prove that ABCD is a rectangle.

First, quadrilateral ABCD is a parallelogram. Since the diagonals bisect each other, we have:

OA = OC (diagonals bisect each other)

OB = OD (diagonals bisect each other)

Therefore, triangle AOB is congruent to triangle COD by SAS (Side-Angle-Side) congruence:

AB = CD (corresponding sides of congruent triangles)

Next, triangle BOC is congruent to triangle DOA, as:

BC = AD (corresponding sides of congruent triangles)

So, we have proved that opposite sides of quadrilateral ABCD are congruent, which implies that ABCD is a parallelogram.

Next, we show quadrilateral ABCD has right angles at both B and D. Since ∠A is a right angle, we have:

∠BOC = 180° - ∠A (linear pair)

∠BOC = 180° - 90° (since ∠A is a right angle)

∠BOC = 90°

Again, we show that ∠AOD = 90°. So, we have shown that quadrilateral ABCD has right angles at both B and D.

Finally, we can prove that quadrilateral ABCD is a rectangle.

Since ABCD is a parallelogram with opposite angles B and D, both right angles, then ABCD is a rectangle.

Therefore, if the diagonals of a quadrilateral bisect each other and one angle of the quadrilateral is a right angle, then the quadrilateral is a rectangle.

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Answer:

There is no slope because the line has a constant y-value

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the merchandise she sold = x

Her commission is 15% of that, so 15% of x or 0.15x

We know her commission was $40, so 0.15x = $40

0.15x = $40

Divide by 0.15

x = $266.67

We can check our answer by substituting $266.67 back into the equation.

0.15(266.67) = 40

40 = 40 ✅

Alyson sold $266.67 worth of merchandise.

The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

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Therefore, (a) ∫58cos(0.1635t - 0.642)dt from 0 to 10 gives approximately 822.6 cars, (b) ′′(5) = -65cos(0.281) which is approximately -62.4 cars per hour per hour, (c) Approximately 559 cars in the garage at t = 10.

(a) To find the number of cars entering the parking garage over the interval 0 ≤ t ≤ 10, we need to integrate the rate of cars entering the garage with respect to time. ∫58cos(0.1635t - 0.642)dt from 0 to 10 gives approximately 822.6 cars.
(b) To find ′′(5), we need to differentiate the rate of cars leaving the garage with respect to time twice. ′′(t) = -65cos(0.281) and ′′(5) = -65cos(0.281) which is approximately -62.4 cars per hour per hour. This value represents the rate of change of the rate of cars leaving the garage at t = 5.
(c) To find the number of cars in the parking garage at time t = 10, we need to subtract the total number of cars leaving the garage from the total number of cars entering the garage from t = 0 to t = 10. This gives approximately 559 cars in the garage at t = 10.


Therefore, (a) ∫58cos(0.1635t - 0.642)dt from 0 to 10 gives approximately 822.6 cars, (b) ′′(5) = -65cos(0.281) which is approximately -62.4 cars per hour per hour, (c) Approximately 559 cars in the garage at t = 10.

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By adding up all the possible ways to distribute the coupon and subtracting it from the possible ways to distribute the 10 coupons to the 15 men, we can determine the total number of ways at least a woman can receive a coupon.

- The entire number of options for dividing the coupons among the 20 customers is the same as the total number of ways to choose a subset of 10 items from a set of 20.

In other terms, 20/10 = 20!/ 10!10 is the combinatorial number of 20 and 10.

- We must use the same calculation as above, but with a set of 15 items rather than 20, to get the total number of alternatives for distributing the coupons among the 15 males.

We now have 15/10, which is 15!/10!5! possibilities.

To ensure that at least one woman receives a coupon, we have 20/10 - 15/10 distribution options.

A combination is made up of r items chosen without replacement from a set of n items, where the order is irrelevant.

The amount of circular permutations of n other objects, taken r at a time, is nPr 2r if clockwise and anti-clockwise configurations are not considered to be distinct. Combinations are various groups or choices made from a variety of items, either all or some of them.

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Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

Answer:

angle # > angle * > angle $

Step-by-step explanation:

Since z + 5 > z+ 1 > z

So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)

Answer:

(-0.5, 3.5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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Answer:

y = 0

Step-by-step explanation:

subsitute x = -3 into y = x^2 - 7x + 12

y = -3^2 - 7 x  -3 + 12

  = 9 - 21 + 12

  =  0

Answer: 42

Step-by-step explanation:

y= (-3)^2 -7(-3) +12

= (9) -(-21) +12

= 9+21+12

= 42

Triangle ABC and Triangle are congruent, but PF is the corresponding side.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices. 

According to our question-

The matching parts of two figures that are congruent are identified by their respective vertices in the same order.

The side PF of PDF corresponds to the side AC of ABC (the first and last letters of the name or vertices) (corresponding letters in the name).

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The 40th percentile for X is approximately  67.98. To find the 40th percentile for X, we need to use a standard normal distribution table or calculator.

We first need to standardize the random variable X by subtracting the mean and dividing by the standard deviation:

z = (X - mean) / standard deviation
z = (X - 70) / 8

We can then find the z-score corresponding to the 40th percentile, which is -0.253:

z = invNorm(0.4)
z = -0.253

Using this z-score and the formula for standardizing a random variable, we can solve for X:

z = (X - 70) / 8
-0.253 = (X - 70) / 8
-2.024 = X - 70
X = 67.976

Therefore, the 40th percentile for X is approximately 67.98.

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The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.

Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point

\(r(x) = f(g(x))\)therefore the derivative of r is given by \(r'(x) = f'g(x)\times g'(x)\)

\(r'(1) = f'(g(1))\times g'(1)\) from the graphs

r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0

Similarly s'(1) = g'(f(1))\times f'(1) from the graphs

 f(1)=1.5, f'(1)

=\dfrac{ (3-0)}{(0-2)}

= -3/2 , g'(3/2) = 0

s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0

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Complete question:

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

The conditional probability of b given a can be found by P(B|A)

The likelihood of an event taking place given that another event has already happened is known as conditional probability. p(A|B) is the likelihood that event A will take place in the absence of occurrence B. Applying the formula: P(b|a) = P(a and b) / P(a), where P(a and b) is the probability that both a and b will happen, and P(a) is the likelihood that a will take place.

Given that a has previously occurred, this formula indicates the likelihood that b will also occur. In other words, it determines the probability that b will occur, assuming that a has already occurred. Moreover, this equation presupposes that occurrences a and b are not independent. As the occurrence of a has no bearing on the likelihood of b, if a and b are independent, the conditional probability of b is given and is just the same as the probability of b happening.

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Our goal here is to create a copy of line segment PQ, through various steps. Let's start with drawing line segment PQ, respectively point R a fixed distance away from the segment.

It would be wise to use a compass in this case, and a ruler for certain.

So we have this segment PQ, and point R a " fixed distance " away from PQ.

( 1. Extend a compass to match with the length of PQ,

( 2. Move this compass ( without changing it's length ) so that one endpoint matches with point R

( 3. Now draw an arc with this compass, where this line will be

( 4. Take your ruler and draw a straight line from this point R to your arc. It would be wise to draw this line to the middle of the arc you created.

If you like, take a look at the attachment below to see what it should look like.

I have done these questions before, so I can assure you that this experiment is proved correctly!

The statement does not make sense because the table showing z-scores and percentiles displays the percentage of data items between a given value of z and its opposite, -z. The correct answer is D.

The z-score table shows the percentage of data items between the mean and a certain number of standard deviations above or below the mean, which can be calculated using z-scores.

It provides information about the percentage of data items between a certain value of z and its opposite (-z) as well as the percentage of data items below and above a certain value of z. Therefore, the statement does not make sense because the z-score table does display the percentage of data items greater than a given value of z. The correct answer is D.

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Answer:

A(4,8,12,16) is the answer

Answer:

x < -5 or x >= 6

Step-by-step explanation:

4x + 6 < -14 < subtract 6 and divide by 4 to isolate x.

x < -5

or

2x + 2 >= 14 subtract 2 and divide by 2 to isolate x

x >= 6

Answer:

circle

Step-by-step explanation:

any point on the circumference of a circle is equidistant from the centre.

The ordered pair gives the location of point B is (2, f(2)).

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, B is a point on the graph of the function f(x) = - 3x² and the

x-coordinate of point B is 2.

To obtain the value of the y-coordinate we'll simply replace 2 in place of x.

Therefore, f(2) = - 3(2)².

f(2) = - 3(4).

f(2) = - 12.

Observing the given option the only correct answer would be

(2, - 12) and (2, f(2)).

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To answer this, we will find the equation of the line that passes through point C and D and check which option is in the same line, this will be the answer.

First, let's find the slope using th coordinates of the points C and D:

Now, we can use point C, for example, to right in the slope-point form:

With this equation, we can input values of x and check is we get the same y.

Alternative A and C have x = 0, so let's check it:

I got y = 3, neither alternative have y = 3, so it isn't A nor C.

B and D have x = 1, let's check it:

We got y = 4, which matches alternative D.

So, the correct alternative is D.

The given statement is 1. Always true

2. Always true

3. Always true

4. Sometimes true

5. Never true

Statement 1: A line and a point are always coplanar.

Answer: Always true.

Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.

Statement 2: Congruent angles form vertical angles.

Answer: Always true.

Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.

Statement 3: Linear pairs that are congruent are right angles.

Answer: Always true.

Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.

Statement 4: The sum of angles that form a linear pair is less than 180 degrees.

Answer: Sometimes true.

Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.

Statement 5: Vertical angles are complementary.

Answer: Never true.

Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.

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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.

To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.

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Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party

To solve this problem we will use a rule of three with the problem information:

5 people-------- 1/4 cup of butter

28 people -------- x

Applying the rule of three we get:

x = ( 28 people * 1/4 cup of butter) / 5 people

x = 1,4 cup of butter

x = 1 + 2/5 cup of butter = 1 and two fifths cups

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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Answer:

33.9

Step-by-step explanation:

What function uses the OPPOSITE and the ADJACENT?

tanR=  

adjacent /opposite

​  

=  

70/ 47

tanR=  

70 /47

R=tan  

−1

(  70 /47  )

​  

​

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

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Morris would be withholding an additional $12.50 per week if he took no exemptions.

Morris currently earns $325 per week and has two exemptions on his paycheck. If Morris were to take no exemptions, his weekly withholding would increase significantly.

To estimate the additional withholding amount, we can first calculate the amount Morris would have been withholding with two exemptions:

$325 / 52 = $6.25

$6.25 x 2 exemptions = $12.50

If Morris were to take no exemptions, the amount he would be withholding would be:

$325 / 52 = $6.25

$6.25 x 0 exemptions = $0

Therefore, Morris would be withholding an additional $12.50 per week if he took no exemptions.

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The program provided sets up output destination options and then executes a PROC PRINT statement to display the data from the "orion.test" dataset. However, without running the program, I can still provide an explanation based on the code.

In the code, the ODS (Output Delivery System) statements are used to control the output format and destination. The first line, "ods all close;", closes all open ODS destinations. The second line, "ods html file='c:\test.html' style=meadow;", directs the output to an HTML file named "test.html" located at "c:\test.html" with a specific style called "meadow". The next line, "ods html close;", closes the HTML output destination.

Following that, the "ods listing;" statement directs the output to the default output destination, which is typically the SAS log or output window. Then, the PROC PRINT statement is used to print the data from the "orion.test" dataset.

Considering the output destinations set up in the program, the output will be available in three different places. First, it will be saved as an HTML file named "test.html" at "c:\test.html". Second, if you have the SAS output window or log open, you will be able to see the output there as well. Finally, the output will also be available as a CSV file since the "ods csvall;" statement directs the output to be generated in CSV format.

In summary, the program generates output in three locations: an HTML file, the SAS output window or log, and a CSV file. These destinations allow for different ways to access and review the output data.

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