in a right triangle, the longest side opposite the right angle is called the hypotenuse and the other two sides are called ---select--- .

Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:

B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.

For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.

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Answer:

x = -168

Step-by-step explanation:

Multiply both sides of the equation by 4.

= -x = 168

Multiply both sides by −1.

x = -168

Hope it helps!!!

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Answer:

[tex]x\leq 120[/tex]

---------------------------

Hope this helps!

Have a great day and God bless! :)

a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

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Answer:

The area is 12.57

The Circumference is 12.57

Step-by-step explanation:

The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

According to the statement

We have to find about the distance.

So, For this purpose, we know that the

The distance between two points is that the length of the path connecting them.

From the given information:

We have to search out that the the shortest distance between two points on a sphere.

Then we all know that the

Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.

Then

The shortest path between two points on the sphere is that the arc of a good circle.

According to this the option C is correct.

So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

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Answer:

I believe the answer is 13 months.

Step-by-step explanation:

First you make an equation.

* 145 + 2x = 210 - 3x

* After you solve it!

> 145 = 210 - 5x

> -65 = - 5x

> -65/-5 = x

> 13 = x

It's going take 13 months for both to be on the same weight.

I hope you get this right.

From given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection  of sets are verified

A).  A- (B∪C)=(A - B)∩ (A- C)

B).  A∩(B-C) =(A∩B) - (A∩C)

As given,

A={a,b,c,d,e,h}

B={b,c,d,f,g}

C={a,c,e,f,h,i}

A). A- (B∪C)={a,b,c,d,e,h} - { a,b,c,d,e,f,g,h,i}

                    = { }

(A - B)∩ (A- C)={a,e,h} ∩ {b,d}

                       ={ }

⇒A- (B∪C)=(A - B)∩ (A- C)

B) A∩(B-C)={a,b,c,d,e,h} ∩{b,d,g}

                  ={b,d}

   (A∩B) - (A∩C)={b,c,d} -{a,c,e}

                           ={b,d}

⇒A∩(B-C)=(A∩B) -(A∩C)

Therefore, from given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection of sets are verified

A).  A- (B∪C) =(A - B)∩ (A- C)

B).  A∩(B-C)=(A∩B) - (A∩C)

The complete question is:

If A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}, then verify that

A). A- (B∪C) = (A - B)∩ (A- C)

B). A∩(B-C) = (A∩B) - (A∩C)

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Using linear functions, the system of inequalities that matches the graph is given by:

A linear function is modeled by:

y = mx + b

In which:

Given two points, the slope is given by change in y divided by change in x. For the first line, the points are:

(-1, -3) and (0,0).

Hence the slope is:

m = (0 - (-3))/(0 - (-1))

m = 3.

When x = 0, y = 0, hence the y-intercept is of b = 0 and the line is given by:

y = 3x.

Everything to the right of the solid line is shaded, hence the values that are equal(line is solid) or greater than the line compose the inequality, as follows:

y ≥ 3x.

For the second line, the points are:

(-2,3) and (1,-3).

Hence the slope is:

m = (-3 - 3)/(1 - (-2)) = -6/3 = -2.

Then:

y = -2x + b.

When x = -2, y = 3, hence:

3 = -2(-2) + b

b = -1.

Hence the line is:

y = -2x - 1.

Everything to the right of the dashed line is shaded, hence the inequality is:

y > -2x - 1.

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Answer:

C) corresponding angles

Step-by-step explanation:

AE is a transversal that crosses two parallel lines. Notice Angle ABC and BED are on the same corner. Hence, they are corresponding angles

The decimal fraction is 0.28 and reduced fraction is 7/25.

In mathematics, the fraction is generally a term which define the small part of something or amount of something. A fraction has generally two parts a numerator and a denominator.

The general syntax for fraction is : [tex]\frac{x}{y}[/tex]

where, x is the numerator part

           y is the denominator part

The fraction has two types of notations:

In the question given,

Total number of samples = 1214

Adults who answered peanut butter = 28%

Now, the decimal fraction  = 28 / 100 = 0.28

and, the reduce fraction  = 28/100 = (7)(4) / (25)(4) = 7/25

Hence, The decimal fraction is 0.28 and reduced fraction is 7/25.

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Answer:

13. x = 2 - 5y

14. x= 6y + 2

Answer:

40 feet

Step-by-step explanation:

Because 32+8=40

32

- 08

-----

40

Answer: -24 feet

Step-by-step explanation: ascending is rising so you would subtract feet, which in this case is 8 feet. after that you would consider that since she is underground the feet would be negative because she is below ground level which is zero. once you subtract it then you would get a grand total of -24 feet or 24 feet below the earth's surface but more than likely the answer would be -24 ft.

hope this was helpful :)- hailey <3

Answer:

Step-by-step explanation:

y - 1 = -9/2 (x + 7)

Distribute -9/2:

y - 1 = -9/2x - 63/2

Add 1 on both sides to isolate y:

(y - 1) + 1 = (-9/2x - 63/2) + 1

y = -9/2x -61/2

A line parallel to another has the same slope as that line so both slopes are -9/2.

M = -9/2

Answer is angle 2

Reason

two angles are adjacent angles when they share the common vertex and a side.

See attached picture

Answer:

good luck broooooooooo

Answer:

X - 24 = 29

X = 29 + 24

X = 53 degrees

The volume will be 1004.5 ft³.

It should be noted that the volume is calculated as:

= Length × Width × Height

= 12.25 × 10 × 8.2

= 1004.5 ft³

Therefore, the volume will be 1004.5 ft³.

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When Kenneth opened her account, her account balance was 30.

A function is an expression that assigns each input value, say x, a unique output value, say y. Mathematically, a function can be represented as-

F(x) = x + a

Here, we are given that Kenneth's bank account is modeled by the following equation-

f(x) = 13x + 30

here, x =  number of weeks

and  f(x) = total amount

When Kenneth must've opened his account, the number of weeks would've been zero.

⇒ x = 0

Substituting the value of x = 0 in f(x), we get-

f(0) = 13(0) + 30

f(0) = 0 + 30

f(0) = 30

Thus, when Kenneth opened her account, her account balance was 30.

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The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are given below.

(2.5 + y) and (1.1y)

Then the product of the expressions (2.5 + y) and (1.1y) will be

⇒ (2.5 + y) × (1.1y)

⇒ 2.75y + 1.1y²

The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

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when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

Here we have the following linear equation:

15 + 3*(2x - 9) = 44

And we want to see if this has a solution, it means that there is a value of x such that the equation becomes true. Let's see that.

To do it, we need to isolate the variable, x, in one of the sides of the equation.

Expanding the product we get:

15 + 3*2x - 3*9 = 44

Moving the terms without x to the right side:

15 + 6x - 27 = 44

6x = 44 + 27 - 15 = 56

Now we can divide both sides by 6 so we get:

x = 56/6 = 9.33

So, when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

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Answer:

0.18

Step-by-step explanation:

you just need to divide 2÷11 until 2 decimal places

Answer:

E. 920.35

Step-by-step explanation:

Hope this helped :>

288 dinner specialist

1 Appetizer = 3  C₁

1 Salad = 2  C₁

1 Entree = 4  C₁

1 Side dish = 3  C₁

1 desert = 4 C₁

Total =  3  C₁ * 2  C₁ *  4  C₁ * 3  C₁ * 4 C₁

=3* 2 * 4 * 3 * 4

= 288 dinner specialist

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility. The higher the likelihood of an event, the more likely it is to occur. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.

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Answer:

14 is there (GCF) 28+42=70

Distance between Alan and Beatrice is changing at the rate of 102.667 mph.

Time is the continuous flow of existence and the events that take place in what appears to be an unbreakable sequence from the past, present, and forward into the future. Time is often referred to be a fourth spatial dimension in addition to the three others.

Philosophers, theologians, and scientists have long considered time to be an important subject of study, but they have never been able to agree on a definition of time that can be used across all of these fields without becoming circular. However, a wide range of fields, including business, industry, sports, the sciences, and the performing arts, all include some form of the concept of time into their own measurement schemes.

[tex]D_{x}=60t\\D_{y}=x-50t\\D=\sqrt{(D_{x})^2+(D_{y})^{2}} \\D=\sqrt{(60t)^2+(x-50t)^2}[/tex]

where t is time and D is the distance

We know, S=D*D

So,

[tex]S=3600t^2+x^2+2500t^2-100xt\\\frac{dS}{dt} = 7200t+5000t-100x\\=12200*\frac{8}{600}-100*0.6\\ =\frac{308}{3}[/tex]

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Answer:

1740

Step-by-step explanation:

Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.

Answer:1740

Step-by-step explanation:

10x10=100

100x10=1000

1.74x1000=1740

HOPE THIS HELLPPPSSS : )

 hi!

lets try and further analyze this.

The integer -2 would be graphed directly on the "-2" point on the line. also marking positive 2 (2) as for that's its opposite. Positive 3 (3) would be marked on the 3 and so would -3. Then -5 and positive 5 (5) and lastly -1 and positive 1 (1).

hope this helps!

side note: for actually graphing the point just use a filled in dot indicating where you mark it.