Using plane K, name a point that is not on the line.

The two-column proof that shows that ΔEAB ≅ ΔDCB by SAS congruence theorem is explained below.

The Side-angle-side congruence theorem (SAS) that states that two triangles that are have two pairs of corresponding congruent sides and a pair of included corresponding congruent angles are congruent to each other.

Any triangle with two equal base angles is referred to as an isosceles triangle, The sides opposite these base angles are also congruent to each other.

Given the diagram below, the proof is expressed as follows:

Statement 1: ΔEAB and ΔDCB are two right triangles

Reason 1: Given

Statement 2: ∠EAB  ≅ DCB

Reason 2: Right angles

Statement 3: ∠BED ≅ BDE

Reason 3: Given

Statement 4: ΔBED is an isosceles triangle

Reason 4: Definition of isosceles triangle

Statement 5: BE ≅ BD

Reason 5:  Definition of isosceles triangle

Statement 6: ΔEAB ≅ ΔDCB

Reason 6: SAS

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Answer:

A

Step-by-step explanation:

p = Pierre shells

Nardia shells = 3p

3p + p = 52

Answer:

a

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3x + 3   =  6 + 6

3x + 3   =  12

3x         =  12 - 3

3x         =  9

   x        =  3

3 (3) + 3   =  6 + 6

   9  + 3   =  12

       12     =  12

Answer:

38°

Step-by-step explanation:

EFGH is an isosceles trapezoid (a trapezoid with two congruent legs is isosceles)

∠HGF=70° (base angles of an isosceles trapezoid are congruent)

∠EGH=32° (angles in a triangle add to 180°)

∠FGE=38° (angle subtraction postulate)

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

When we expand a function, everything must be multiplied out evenly.

      [tex](x+6)*(x+6)\\=x*x +x*6+6*x+6*6\\=x^2 + 6x + 6x+36\\x^2 +12x+36[/tex]

Answer: x² + 12x + 36

Hope that helps!

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Polynomials are mathematical expressions made up of many terms.

To simplify the polynomial to the maximum, all like terms must be grouped together and rearranged from highest to lowest power.

Distribute

Combining like terms.

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

the correct option is:

"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."

A circle is defined as the set of equidistant points to a given point which is the center of the circle.

That distance to the center is called the radius.

Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.

From that, we conclude that the correct option is:

"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."

That is the only proof that we can (and should) use to prove that a point lies on a circle.

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Answer:

The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."

Step-by-step explanation:

I did the test

Using the monthly payment formula, it is found that:

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

Considering that she must pay 20% down, the parameters are given by:

P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.

Hence the monthly payments are found as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}[/tex]

A = $105.46.

The total finance charge is composed by the down payment plus the 24 monthly payments, hence:

F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.

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The conclusion regarding the publisher's claim regarding the hypothesis is that have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.

The null hypothesis is a statistical theory that suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Since we reject the null hypothesis , we have sufficient evidence to support the claim. In this case, we have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.

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Complete question:

A newsletter publisher believes that less than 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.

The total area of the given pan can be evaluated as follows;

Area = length × width

= 9 × 13

= 117 square units.

Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;

= 117/(1×1)

= 117 1" X 1" bars.

For the 2" X 2" square bars, we have;

= 117/(2×2);

29 remainder 1 square unit.

Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.

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Answer:

2160°

Step-by-step explanation:

[tex]180(14-2)=2160^{\circ}[/tex]

Answer:i got 329

Step-by-step explanation:

By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.

Based on the information provided about this company with respect to its delivery and total number of miles to be covered, we would assign variables as follows:

Next, we would translate the word problem into an algebraic equation by using an inequality:

y > x/2 - 3

Also, we would determine the intercepts as follows:

When x = 0, we have;

y = 0/2 - 3

y = -3.

y-intercept = (0, -3).

For the x-intercept, we have:

When y = 0, we have;

0 = x/2 - 3

x/2 = 3

x = 6.

x-intercept = (6, 0).

By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.

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Answer:

c

Step-by-step explanation:

c is the answer

The number with the given characteristics is 17

Let the tens be x and the units be y.

So, the number is 10x + y

The relationship between the digits is

y = x + 6

The relationship between the number and the reverse is

2(10x + y + 10y + x) = 6 + 10 * (10x + y)

Simplify the second equation

2(11x + 11y) = 6 + 100x + 10y

Open the brackets

22x + 22y = 6 + 100x + 10y

Substitute y = x + 6

22x + 22(x + 6) = 6 + 100x + 10(x + 6)

Expand

22x + 22x + 132 = 6 + 100x + 10x + 60

Collect like terms

22x + 22x - 100x - 10x = 6 + 60 - 132

Evaluate the like terms

-66x = -66

Divide by -66

x = 1

Substitute x = 1 in y = x + 6

y = 1 + 6

y = 7

Recall that the number is 10x + y

So, we have

Number = 10 * 1 + 7

Evaluate

Number = 17

Hence, the number is 17

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[tex]number \: of \: performances = 9 \\ note = \\ one \: insists \: on \: being \: last \\ number \: of \: flexible \: performances = 9 - 1 = 8 \\ \\ c( \gamma ) = 8P8 \times 1 \\ c( \gamma ) = 8! \\ c( \gamma ) = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ c( \gamma ) = 40320 \: ways[/tex]

Answer:

-2s-18 is the simplified answer

Step-by-step explanation:

s-3(s+6)

distributive property

s-3s-18

-2s-18

Answer:

Trapezoid

Step-by-step explanation:

One pair of parallel sides.

Answer:

5/16

Step-by-step explanation:

assuming you mean 5(1/2) = 8x

5(1/2) is the same as 5/2

so, 5/2 = 8x

5 = 16x

x= 5/16

Answer:

C. Subtract 4 from both sides.

Step-by-step explanation:

You need the equation in the form x² + ax + b = 0 to then either try factoring or use the quadratic formula.

In order to achieve that, you need to first:

Subtract 4 from both sides.

By using the PEMDAS order of operations, we get 3(6+7) = 39.

The equation be 3(6+7) then the correct answer is 34.

The order of operations exists as a law that describes the proper sequence of stages for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).

Given: 3(6+7)

By using the PEMDAS order of operations, we get

(6+7) = 13

Then we get

3(6+7) = 3 [tex]*[/tex] 13

= 39.

Therefore, the value of 3(6+7) = 39.

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Answer: 2.25 meters

Step-by-step explanation: 1 in = 2 meters. 0.75 is 75 percent of 1 so the length of the window is 75 percent of 2 which is 1.5. 1.5 squared is 2.25 so the length of the window is 2.25 meters

Using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

It is found using a calculator, with two inputs, which are given by:

In this problem, the inputs are given as follows:

Hence, using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

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a) The factor form of the polynomial is f(x) = 4 · (x - 3) · (x + 5 / 4).

b) The values of the x-intercepts of the graph of f(x) are represented by the roots found in part a).

c) The function has a minimum and grows in the + y direction.

d) Marking the two x-intercepts, second, generating a line perpendicular to the x-axis that passes the midpoint of the line segment generated by the two intercepts and estimate the location of the vertex and, finally, creating a parabola with a minimum and growing in the + y direction by matching the points.

In this problem we have a quadratic function in standard form, that is, an equation of the form f(x) = a · x² + b · x + c, where a, b and c are real coefficients. a) First, we need to complete the square and find the roots to determine the factorized form:

4 · x² - 7 · x - 15 = 0

4 · [x² - (7 / 4) · x - (15 / 4)] = 0

x² - (7 / 4) · x - (15 / 4) = 0

x² - 2 · (7 / 8) · x - (15 / 4) + (289 / 64) = 289 / 64

x² - 2 · (7 / 8) · x + 49 / 64 = 289 / 64

(x - 7 / 8)² = 289 / 64

x - 7 / 8 = ± 17 / 8

x = 7 / 8 ± 17 / 8

Then, the factor form of the polynomial is f(x) = 4 · (x - 3) · (x + 5 / 4).

b) The values of the x-intercepts of the graph of f(x) are represented by the roots found in part a).

c) The end behavior of the graph is inferred from the lead coefficient. A positive coeffcient , which is the case of the function, indicates that vertex of the polynomial is a minimum and parabola grows in the + y direction.

d) In accordance with algebra, we can generate a quadratic equation by knowing three distinct points on Cartesian plane.

First, mark the two x-intercepts, second, generate a line perpendicular to the x-axis that passes the midpoint of the line segment generated by the two intercepts and, finally, generate a parabola with a minimum and growing in the + y direction.

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The number of points of intersection between the rectangle and hexagon is = 4

The point of intersection between two or more lines is where the lines met at a particular plane. The point of intersection an equally be referred to as the vertex.

A rectangle is a quadrilateral because it's made up of four sides of which the two sides which are opposite, are equal and parallel.

A triangle is a polygon that is made up of three lines that meet to form edges and angles.

A hexagon is a polygon that is made up of six sides and six angles.

From the attached image, the rectangle which has four sides, made an intersection with the hexagon at four points which are marked with an asterisk.

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Answer:

2

Step-by-step explanation:

Using the normal distribution, the value of z is of z = 1.5.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, considering the symmetry of the normal distribution, the area above the mean is given by:

0.8664/2 = 0.4332.

Hence z has a p-value of 0.5  + 0.4332 = 0.9332, hence the value of z is z = 1.5.

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[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

[tex]7x\: - \:8 \:=\: -20x\: + \:4 [/tex]

[tex]7x \:- \:8 \:+ \:20x \:= \:4[/tex]

[tex]7x\: + \:20x \:= \:4 \:+ \:8 [/tex]

[tex]27x\: = \:4\: + \:8[/tex]

[tex]x\:= [/tex] [tex]\frac{4}{9}[/tex]

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Answer:

x = 4/9

Step-by-step explanation:

Solve for x

7/4 x -2  = -5x +1

Add 5x to each side

7/4 x -2+5x  = -5x +1+5x

7/4 x  + 5x -2  = 1

Get a common denominator for the x terms

7/4x  +20/4x -2 = 1

Add 2 to each side

27/4 x -2+2 = 1+2

27/4 x = 3

Multiply each side by 4

27/4 x *4 = 3*4

27x = 12

Divide each side by 27

27x/27 = 12/27

x = 12/27

Simplify

x = 4/9

Answer:

See below

Step-by-step explanation:

Assuming the interest is compounded annually

x * (1 + .10)^5 = 1.61051  x

  your final amount will be  1.61051 times bigger than the initial deposit

The given statement that, decimal, fraction, and percent can all represent the same values is True.

Verification of the True Statement:

The ratio of two numbers results in a fraction which are often rational numbers (often integers). As an illustration, 11/59 is a fraction. Typically, absolute values for fractions should be larger than 0 and less than 1. A mixed fraction equivalent to 1 3/4 is 7/4.

A fraction stated in tenths are known as a decimal (or tenths of tenths, etc.). The decimal equivalent of one fourth, or 1/4 as a fraction, is 0.25 (which equals 25/100). (Remember that 1/100 is just a tenth of a tenth.)

Percentage (percent) is a decimal fraction multiplied by 100. Therefore, 0.25 is equivalent to 25 percent, for instance. The ratio of two numbers results in fractions, which are often rational numbers (often integers).

Let us take a number 3/5, this is a fraction.

Now, if we further divide, 3 by 5, we will get 0.6

This 0.6 is a decimal number, but it still represents the number 3/5

Similarly, it is equivalent to 60 percent which again represent the fraction 3/5 or decimal 0.6.

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The set of natural numbers greater than or equal to 6 will be 6, 7, 8, 9, 10, ....

It should be noted that the first information is about the set of natural numbers greater than or equal to 6. Therefore, they will be 6 and above.

It should be noted that the descriptive form simply states in words the elements that are in a set. It is the verbal description of the elements in the set. It is the determination of the elements that belong to a set and those that doesn't.

Also, the way that a set is described is known as the roster form. In this case, the contents of a set can be described by listing the elements that are in the set which are separated by a comma inside the bracket.

Also, the roster form: (5, 7, 9, 11) indicates odd natural numbers. The numbers that are given are odd.

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Answer:

[tex]y=-2x+1[/tex]

Step-by-step explanation:

Looking at the line can ensure that the slope is negative

The rise/run is 4/-2, ten the slope is:

[tex]s=\frac{-4}{2} =-2[/tex]

b intercept is 1

The equation:

[tex]y=-2x+1[/tex]

Hope this helps