Write a two-column proof
given AX = DX, XB=XC
prove AC = BD
please help, this is for my midterm

Answer:

vertex point is (4,-6)

and it opens upwards as the coefficient of x is positive.

I assume B is the correct answer, good luck!

The length of side LN is equal to 44 units. (Correct choice: A)

Two triangles are similar when these triangles have congruent angles but non-congruent though proportional sides. Triangles LMN and NUV are similar. Therefore, we can determine the length of side LN of geometrical system by means of following relationship:

NV / LN = NU / MN

LN = NV × MN / NU

If we know that NV = 11, MN = 32 and NU = 8, then the length of side LN is:

LN = 11 ×  (32 / 8)

LN = 11 × 4

LN = 44

The side LN has a length of 44 units.

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Answer:

63

Step-by-step explanation:

Consecutive odd integers increase by the addition of 2 therefore if the smallest value is x then the next odd number is x + 2

So therefore; x + x + 2 + x + 4 + x + 6 = 264

Collect like terms

x + x + x + x + 2 + 4 + 6 = 264

4x + 12 = 264

4x = 264 - 12

4x = 252

Divide both sides by 4

x = 63

Therefore the smallest of the four consecutive integers is 63

Answer:

see below

Step-by-step explanation:

b = √3

then move t to the end you'll see

m= -0.4√13

5329 Sq meters  is the maximum area that can be enclosed.

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. It is also known as an equiangular quadrilateral for this reason.

                          The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

Perimeter of Rectangle: 2W + 2L

One L is the river so we have 3 sides

220m/3 = 73m

Area of Rectangle is WL

73 × 73 =  5329 Sq meters

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Answer:

£362.1

Step-by-step explanation:

6.5% =

6.5 / 100 =

65 / 1000 = 0.065

£340 * 0.065 = £22.1  => £22.1 is the pay raise in terms of English pounds(£)

Now add the pay raise to the earnings per week to get the total earnings after the raise:

£22.1 + £340 =

£22.1 + £340.0 = £362.1

The remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000 is 448.

448

Q(m) is the least positive integer such that for every n ≥ Q(m), there is a perfect cube k^3 in the range n < k^3 ≤ m.

For example, Q(2) = 1 since 1^3 is in the range 1 < 1^3 ≤ 2.

Similarly, Q(3) = 2 since 2^3 is in the range 2 < 2^3 ≤ 3, and Q(4) = 3 since 3^3 is in the range 3 < 3^3 ≤ 4.

We are asked to find the remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000.

To do this, we can calculate the sum of the first 2017 terms of the sequence.

Q(2) + Q(3) + Q(4) + ... + Q(2017) = 448

Since 448 is divisible by 1000, the remainder when the sum is divided by 1000 is 0.

The remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000 is 448.

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Choosing a white rose at random first and then again at a later time are separate actions. based on the information provided White roses in a vase total four.

All potential results are gathered in a random experiment's sample space. A portion of the sample space is made up of an event connected to a random experiment. A value between 0 and 1 represents the chance of any result. All possible outcomes have a cumulative probability of 1.

A random experiment's sample space, or S, is referred to as the collection of all potential results. The results, often referred to as sample points, in a random experiment are exclusive (i.e., they cannot occur simultaneously). Sample space is the collection of all outcomes that can be found in a random experiment. The S sign stands in for it. the sample space is (S) = (HH), (HT), for two coin tosses, for instance (TT) .

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The required values are for the given angle, as follows: a. sin α is positive. b. sin(π + α) = -sin α. c. cos(2π - α) = cos α.

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

a. For an angle α in the first quadrant, sin α is positive.

Since the first quadrant is between 0 and 90 degrees, sin α is equal to the opposite side divided by the hypotenuse, where the opposite side is the y-coordinate and the hypotenuse is the distance from the origin to the point on the unit circle corresponding to the angle α.

b. sin(π + α) = sin (π - α). In the second quadrant (90 < α < 180), sine is negative, so sin(π + α) = -sin α.

c. cos(2π - α) = cos α. The cosine function has period 2π, so cos(2π - α) = cos α.

Since the first quadrant is between 0 and 90 degrees, cos α is positive.

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The measure of the missing angle in a triangle is C = 18°.

An acute angle is one that is 45 degrees. It is a 90-degree angle or half of a right angle. Look at the illustration of the 45-degree angle. Angles are expressed in degrees or radians.

A straight angle is one in which the two arms extend in precise opposition to one another. A 180° angle is a straight angle. A protractor can be used to measure angles; a straight angle is an angle that is measured at 90 degrees.

The two arms are perpendicular to one another at a right angle. Each angle measures 45° when the right angle is divided into two equal pieces. An acute angle is one that is 45 degrees. It is a 90-degree angle or half of a right angle.

Given one of the angles A = 45°

And B is 65% of the total angle sum = 65/100 × 180

                                                             = 117°

For angle C, using angle sum property

⇒ A + B + C = 180°

⇒ 45° + 117° + C = 180°

⇒ C = 180° - (45° + 117°)

⇒ C = 180° - 162°

⇒ C = 18°

Thus, The measure of the missing angle in a triangle is C = 18°.

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Complete question:

What is the size, in degrees, of the missing angle of a triangle?

A = 45°

B = 65%

C = x

the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

a) The rejection region for this one-tailed hypothesis test is z ? z > 2.33.

The test statistic value is z = 2.76.

Therefore, the conclusion is that we reject H0. The data suggests that the difference in average tension bond strengths is greater than 0.

For this one-tailed hypothesis test, we must reject the null hypothesis (H0: m1 - m2 = 0) if the test statistic is greater than 2.33. Our test statistic value is 2.76, which is greater than 2.33, so we reject H0. This indicates that the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

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A coda ulna de las personas le Toccara ulna porcino de 2/3 de Dona

Si mi tía ha legato a la casa y trae consigo 4 Donas de azúcar, pero no se ha percatado que la cantidad de personas en la casa es de 6 contándose, entonces decide repartir en partes iguales, para esta operation deems divider la candida de donnas entre la cantidad de personas

4 donnas / 6 personas = 2 /3 ester 2/3 es la porcino de coda uno es décor coda Dona se picara eon tress torsos y dos torsos para coda persona de 2/3

Respuesta:

para que alkanes les tocaria

a 4 personas la mated de una dona

(osea 2 donas las partes a la mated)

y a las okras 2 personas la Dona entera

Explication paso a paso:

esparto hiver aoudad:)

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Answer:

2x + 3

Step-by-step explanation:

1/2(6x - 10) - x

3x -5 -x

2x -5

We would need the structure of the equation to be 2x plus or minus anything other than 15.

For example:

2x - 5 = 2x + 3  if we subtract 2x from both sides we are left with

-5 = 3  This is a false statement and their will be no solution.

[tex] \large \frak{ \green 5 + \red{w }= \green 8}[/tex]

[tex] \: [/tex]

[tex] \ \: \large \frak{ \red{w }= \green 8 { -} \green5}[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \large \frak{ \: \red{w }= \green 3 \: }}}[/tex]

[tex] \: [/tex]

hope it helps!

Answer: y/x = k, where k is the constant of proportionality.

Step-by-step explanation:

The proportional connection is represented by the linear equation y equals two-thirds times x.

A proportionate connection is a two-variable relationship in which one variable is a constant multiple of the other. In other words, if y is proportional to x directly, then y = kx for some constant k. This can alternatively be written as y/x = k, where k is the proportionality constant.

The proportionate connection is represented by the linear equation y = 2/3x.

It demonstrates a direct connection since the coefficient of x (2/3) is constant and there is no constant term (y-intercept) to break the proportionality.

The other equations do not have a proportionate connection because they feature a variable coefficient or a constant term.

Answer:

y/x = k, where k is the constant of proportionality.

Step-by-step explanation:

The triangle with the side lengths and the angle is drawn by the image given at the end of the answer.

The area of the triangle is given as follows:

1.68 inches squared.

The area of a triangle, given two side lengths a and b, and the angle θ between them, is given as follows:

A = ab x sin(θ).

The parameters for this problem are given as follows:

The angle is of 50º, hence the area is given as follows:

A = 1.25 x 1.75 x sin(50º)

A = 1.68 inches squared.

The problem asks for the area of the triangle.

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To find out how many bricks are needed to make the wall, we need to find the total area of the wall and divide it by the area of one brick.

The area of the wall is:

length x height x width = 10 m x 1 m x 0.5 m = 5 m^2

The area of one brick is:

10 cm x 10 cm x 20 cm = 2000 cm^3

To convert the area of the wall from square meter to cubic centimeter, we need to multiply it by 100*100 = 10000.

5 m^2 x 10000 = 50000 cm^2

Now we can divide the total area of the wall by the area of one brick to find out how many bricks are needed:

50000 cm^2 / 2000 cm^2/ brick = 25 bricks

So, 25 bricks will be needed to make the wall.

The number of quarters in the bowl is 14.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x+ 3 = 9 is an equation.

We have,

Dimes = x

Quarters = y

10 dimes = $1

1 dime = $0.1

4 quarters = $1

1 quarter = $0.25

Now,

0.1x + 0.25y = 5 _____(1)

x + y = 29 _____(2)

Solve for y from (1) and (2),

x = 29 - y

Substitute in (1) we get,

0.1 (29 - y) + 0.25y = 5

2.9 - 0.1y + 0.25y = 5

2.9 + 0.15y = 5

0.15y = 5 - 2.9

y = 2.1/0.15

y = 14

Thus,

There are 14 quarters in the bowl.

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The equation for the parabola is: (x - 1)^2 = 4(y - 5). The vertex of the parabola is located at (1, 5) and the focus is at (1, 1). The equation describes a parabola that opens upward, and is symmetrical about the y-axis.

The equation for the parabola is: (x - 1)^2 = 4(y - 5). This equation describes a parabola with its vertex located at (1, 5) and its focus at (1, 1). The parabola is symmetrical about the y-axis and opens upward. This means that the base of the bulb is at (1, 5) and the top of the bulb is at (1, 1). To get the equation for the parabola, we need to subtract the x-coordinate of the vertex from the x-coordinate of the focus, which gives us 1. We then square this number, giving us 1. We then subtract the y-coordinate of the vertex from the y-coordinate of the focus, giving us 4. We then multiply this number by the squared number from before, giving us 4. The final equation is then (x - 1)^2 = 4(y - 5).

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X = 88.1. The total of all interest, dividends, or other income that an investment provides divided by the age of the investment or the period over which the investor has held it is the average yield on an investment.

What is average yield?

The average yield on an investment or a portfolio is calculated by dividing the total interest, dividends, or other income received by an investment by the investment's age or the period over which the investor has held it. In particular, it alludes to yield, or the total revenue from an investment divided by the number of years kept.

There are numerous yield kinds, and the calculating process varies depending on the specific yield type and the type of security. Because of these variations, comparisons of yields between other financial product categories should be used with caution.

In the case of stocks, yield is determined by dividing the price rise plus dividends by the original purchase price. Both cost yield and current yield can be used to examine bond yield.

Given data :

Let x be the number of trees in the orchard and N the yield per tree.

No of trees = 70

yield = 10

formula for N in terms of the unknown x :

(10+(70-x)0.55)

10 + 38.5 - 0.55x

-0.55x = 48.5

x = 48.5/ 0.55 = 88.1

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Answer:

see below & attached

Step-by-step explanation:

red line length call it a² = (8√3)²- 12²  = 192-144 =48

so look at the graph we know x is longer than 12,

the portion that's longer than 12 call it c = x-12

top short line call it b

because it's all right angle you are looking at 3 right angle triangles

the big one that's cut into 2 by the red line

the larger one & the smaller one

each will have this property: short side 1 ²+short side 2 ²= long side ²

so for the largest one:

(8√3)² +b² = (12+c)² = x²

second largest triangle we already know all 3 sides: (8√3), 12, √48

now look at the smallest

48+c² =b²

once you have all equations listed , you can solve for c.

see attached.

Nick has failed to meet the condition that n p hat greater-than-or-equal-to 10 and n (1 minus p hat) greater-than-or-equal-to 10.

In order for the Central Limit Theorem to be applied and for the sample proportion to be approximately normally distributed, the sample size must be at least 30. This means that the sample size must be large enough so that the sample proportion of healthy breakfast eaters (p hat) and the sample proportion of non-healthy breakfast eaters (1-p hat) are both greater than or equal to 10. In this case, since the sample proportion of healthy breakfast eaters is 20/25 = 0.8, the sample proportion of non-healthy breakfast eaters is 5/25 = 0.2. Since 5 is less than 10, this condition is not met, and Nick cannot construct a confidence interval for p.

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the two possible values for the third side of the triangle are 22.5 and 24.00.

We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, the third side must be greater than 10.25 and less than 19.75.

From this, we can conclude that the third side of the triangle must be either 22.5 or 24.00.

We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given that two sides of the triangle measure 19.75 and 10.25, the third side must be greater than 10.25 and less than 19.75. Therefore, the only two possible lengths for the third side of the triangle are 22.5 and 24.00. Any length greater than 19.75 or less than 10.25 would not satisfy the triangle inequality and would not be a valid third side for the triangle. Thus, We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

the two possible values for the third side of the triangle are 22.5 and 24.00.

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The expression for the total number of pages Millie and Lee read each day is 225 + 155.

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

Mille = 225 pages

Lee = 155 pages

The expression to find the total number of pages Millie and Lee read each day is given by the sum of the individual pages

i.e. p = 225 + 155

So, the expression to find p is p = 225 + 155.

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The point (2, 48) means in this context: Cesar and Camden are both 48 kilometers away from home after 2 hours.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Cesar and Camden are brothers and live at the same house.

Cesar is 80 kilometers away from home and bikes towards home at a rate of 16 kilometers per hour.

Camden is 20 kilometers away from home and keeps walking away from home at a rate of 14 kilometers per hour.

You found that the point of intersection on the graph is (2, 48),

and you solved algebraically to find that x=2 and y = 48.

Cesar and Camden are both 48 kilometers away from home after 2 hours.

Therefore, Cesar and Camden are both 48 kilometers away from home after 2 hours.

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the angle between the diagonal of a cube and its edge is equal to 35.2 degrees.

Let us consider a cube with side length = a.

Length of diagonal of cube on one of its faces = a√2

Length of diagonal of cube = a√3

To find the angle between the, use law of cosines.

The law of cosines is given by.

⇒ [tex]c^2=a^2+b^2-2abcosC[/tex]

Where c = length of side c, b = length of side b, a = length of side a

C = angle opposite to c

⇒ [tex]c^2=(a\sqrt{2})^2+(a\sqrt{3})^2-2a\sqrt{2}a\sqrt{3}[/tex]

On simplification,

[tex]cosC=\frac{2a^2}{a^2\sqrt{2}\sqrt{3}} \\cosC=\sqrt\frac{2}{3} \\[/tex]

C=35.2 degree

Therefore, the angle between the diagonals is 35.2°

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a. (3, 4, 5) will create a triangle.

b. (10, 20, 30) will not create a triangle

c. (15.5, 45, 20.5) will not create a triangle.

What is a triangle?

A triangle is a polygon with three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified by their sides (such as equilateral, isosceles, or scalene) or by their angles (such as acute, right, or obtuse).

The set of lengths (3,4,5) will create a triangle. This is because it follows the "triangle inequality theorem" which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The set of lengths (10, 20, 30) will not create a triangle. This is because 10 + 20 is less than 30, so it does not satisfy the triangle inequality theorem.

The set of lengths (15.5, 45, 20.5) will not create a triangle. This is because 15.5 + 20.5 is less than 45, so it does not satisfy the triangle inequality theorem.

Hence,

a. (3, 4, 5) will create a triangle.

b. (10, 20, 30) will not create a triangle

c. (15.5, 45, 20.5) will not create a triangle.

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Answer:

5 committees can be formed

Step-by-step explanation:

number of teachers=11

number of students=50

number of teachers in a committee=2

number of students in a committee=2

Answer:

I honestly hv iyiu u ughu ugvjug uyvbuyg uugbjug niyhnig mhyij. umnninji. oh jiuh