Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different combinations are possible?

Answer:

The three correct corresponding pairs that gives the same area are;

The areas are the same in each case because the product of each pair is the same.

Explanation:

Given the base and height pairs in the question.

Let us use the corresponding pairs that gives the same area.

Firstly, for the first pair;

Secondly, the second pair is;

Thirdly, the third pair;

Therefore, the three correct corresponding pairs that gives the same area are;

The areas are the same in each case because the product of each pair is the same.

Answer:

C

Step-by-step explanation:

The congruency statement ∠ C ≅ ∠ G  is the only true statement.

So option C is the correct option.

Given,

parallelogram ABCD ≅ parallelogram EFGH

We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.

The given options are:

A. ∠B≅∠E

B. BC≅GH

C. ∠C≅∠G

D. AD≅EF.

It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.

Properties of a parallelogram :

- The opposite sides are parallel and congruent.

- The opposite angles are equal.

- The consecutive angles are supplementary.

- If any one of the angles is a right angle, then all the other angles will be at    

 a right angle.

- The two diagonals bisect each other.

So if we compare two parallelograms the above properties are congruent.

Let's draw the two parallelograms ABCD and parallelogram EFGH.

 A____________ B                    E____________F

   \                            \                       \                         \

     \                            \                       \                         \

       \                            \                        \                         \

        D_____________C.                   H____________G

The following are congruent:

AB≅EF

BC≅FG

CD≅GH

AD≅EH

∠ A ≅ ∠ E

∠ B ≅ ∠ F

∠ C ≅ ∠ G

∠ D ≅ ∠ H

Checking the above congruent we see that we have  ∠ C ≅ ∠ G in the given option.

Thus, ∠ C ≅ ∠ G is the only correct option.

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Answer:f and h

Step-by-step explanation:the answer I gave is because if you read the question carefully enough you can see what the answer would be

1. The variable used to predict another variable is called the dependent variable.

2. The predicted attendance if the temperature is 90 degrees would be 9,750.

3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.

1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.

The variable used to predict another variable is called the dependent variable.

2. The given equation is Attendance = 16,500 - 75 * Temperature.

If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.

Attendance = 16,500 - 75 * 90

Attendance = 16,500 - 6,750

Attendance = 9,750

Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.

The predicted attendance if the temperature is 90 degrees would be 9,750.

3. To calculate the test statistic, we need to use the formula:

test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)

Given:

Sample size (n) = 25

Sample correlation coefficient (r) = 0.60

Substituting these values into the formula:

test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)

test statistic ≈ (0.60 * sqrt(23)) / 0.8

test statistic ≈ 1.380 / 0.8

test statistic ≈ 1.725

Rounding to three decimal places, the computed test statistic would be approximately 2.071.

The computed test statistic, rounded to three decimal places, would be approximately 2.071.

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Acute angle ⇒ 0⁰ < m < 90⁰

Straight angle ⇒  m = 180⁰

Obtuse angle ⇒ 90⁰ < m < 180⁰

Right angle ⇒ m = 90⁰

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, an obtuse angle is an angle that is wider than a right angle (90 degrees), but not as wide as a straight angle (180 degrees).

When two rays or line segments intersect at a point, they form an angle. If the angle formed is less than 90 degrees, it is called an acute angle. If the angle is exactly 90 degrees, it is called a right angle.

If the angle is greater than 90 degrees but less than 180 degrees, it is called an obtuse angle. Finally, if the angle measures exactly 180 degrees, it is called a straight angle.

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The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.

An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).

Based on the given information, we have the following main effects and interactions:

1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.

2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.

3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.

Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.

Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.

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Hope has 6 nickels (x) and 10 quarters (x + 4).

How many of each coin Hope has if she has 4 more quarters than nickels and they have a combined value of 280 cents. To solve this problem, we can use algebraic equations.

Let's assume the number of nickels Hope has is x. Then, the number of quarters she has would be x + 4.

Now, we need to find the total value of the coins. Each nickel is worth 5 cents, so the total value of nickels is 5x cents. Similarly, each quarter is worth 25 cents, so the total value of quarters is 25(x + 4) cents. The combined value of the coins is 280 cents, so we can set up an equation:

5x + 25(x + 4) = 280

Simplify and solve for x:

5x + 25x + 100 = 280
30x = 180
x = 6

Therefore, Hope has 6 nickels (x) and 10 quarters (x + 4).

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Answer:

The answer is c my bad

Step-by-step explanation: your welcome

It is  give me brainliest :)

Answer:

c

Step-by-step explanation:

Answer:

n-58

Step-by-step explanation:

Answer: n - 58

Step-by-step explanation:

The n goes first. You are subtracting 58 to find the missing value once n is determined.

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

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Answer:

C.) H> 12

Step-by-step explanation:

1. At 12 hours Prize pooches has a total of $65.8

at Daring dogs it's rate is also $65.8.

2. Anything greater than 12 hours though, Prize pooches starts to have a higher total.

The  ΔVTU and ΔCAB  are congruent by AAS congruency criterion. Option (a) is correct.

What are the types of congruency rule ?

The congruent triangles are those in which all the corresponding angles and the sides are equal.

There are many congruency rules and are as follows.

1. Angle Angle Side (AAS)

2. Angle Side Angle (ASA)

3. Side Side Side (SSS)

4. Side Angle Side (SAS)

In  ΔVTU and ΔCAB

∠UVT=∠BCA

∠VTU = ∠CAB

AB = TU

AVT≅ ACAB (AAS congruency)

The ΔVTU and ΔCAB  are congruent by AAS congruency criterion. Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

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Answer:

2 and 3\4

Step-by-step explanation:

hope that is right

The median age of the presidents at their death is 69.

The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.

The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.

The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

In this case, the number of data points is even, that is 38. So, the median is:

= {(n + 1) / 2}th

= {(38 + 1) / 2}th

= 19,5th

Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:

Median = (68 + 70) / 2

Median = 138 / 2

Median = 69

Hence, the median age of the presidents at their death is 69.

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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.

46 58 64 68 73 80 90

49 60 65 70 74 81 93

53 60 66 71 77 83

56 63 67 71 78 85

56 63 67 71 78 88

57 64 67 72 79 90

What is the median age of the presidents at their death?

A. 69

C. 68

b. 67.5

d. 70

Answer:

800

Step-by-step explanation:

Answer:  -2, -1, -1, 0, -1, 1, -2, -1, -1, 0

Step-by-step explanation:

When you are looking at the problem

" -2, -1, -1, 0, -1, 1, -2, … Find the next 3 numbers in the sequence above. Describe the pattern."

you want to observe the pattern, now For example

1, 2, -1, -4 .. and so on

so there is a pattern here if looked at hard enough it goes 1 - 2 = -1 - -3 = -4

when you find the pattern it gets really easy.

Hope this helped!

Answer:

solution,

5x-6y+z+5x-6y-z

(+z and -z will be cancelled)

now,

5x+5x-6y-6y

10x+ 12y( because 2 minus makes plus)

The function that provides a model for the function p(t) for the population of a city is

The given problem is solved using,  f(x) = a (b)^x

the starting = a

the base = b

the exponents = x

considering the given problem

p(t) = a (b)^t

a = 1250

rate, r = 25%

r = 25 / 100

r = 0.25

for increasing rate, b = 1 + r = 1 + 0.25 = 1.25

substituting known variables

p(t) = 1250 (1.25)^t

the equation that models the population of a city is p(t) = 1250 (1.25)^t

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Answer:

The distributive property

Step-by-step explanation:

The 146°, and the x and 58° which are vertical angles formed by the two intersecting lines where the x and 58° are formed by the ray gives the measure of x as 88°

Vertical angles or vertically opposite angles are the angles formed by two intersecting lines and which are on either side to each other

The description parameters are;

The objects in the figure includes; Two intersecting lines and a ray

The measure of one of the angles formed by the intersecting lines = 146°

The vertically opposite angle to the 146° angle is broken into = x and 58°

Required; The value of x

Solution; The vertical angles theorem states that vertically opposite angles that are formed when two lines intersect, are congruent.

In geometry, two figures are congruent when they exactly coincide when they are superimposed, which means that the two figures have the same measurement.

Given that 146° is congruent to x + 58°, we have;

146° = x + 58° Definition of congruency and angle addition postulate

x = 146° - 58° = 88°

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The greatest common factor the expressions is 2g

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

54gh, 72g

The terms of the above expressions are

54gh and 72g

The terms of the above expressions have common factors g and 2

So, we have

2g is common in 54gh and 72g

Hence, the greatest common factor the expressions is 2g

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Answer:

2

5

7

Step-by-step explanation:

You are solving for x, so, in the rule y=x/2 you multiply each side of the equation by 2 to get y×2=x.

1×2=x

x=2

2.5×2=x

x=5

3.5×2=x

x=7

Answer:

a) 1= X/2 so X= 2

b) 2.5=X/2 so X= 5

c) 3.5=X/2 so X=7

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C.

The middle value in a group of numbers that are arranged numerically is the median. It is also referred to as the midpoint because it represents the centre of the data collection. You can expect that half of the values on your list will be lower and half will be higher than the median.

To prove x =1.25

H is midpoint of FG

2x +7=12x-5.5

2x+12.5 =12x

12.5 = 10x

1.25 =x

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The given statement is true which is x = 1.25.

To prove x =1.25

H is midpoint of FG

2x +7=12x-5.5

2x+12.5 =12x

12.5 = 10x

1.25 =x

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Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

A local area network (LAN) connects two or more devices in a limited geographical area.

A local area network (LAN) is a type of network that links computers and other devices within a certain geographic region, such as a house, a school computer lab, an office building, or a cluster of nearby structures.

The nodes, or individual computers or devices that make up a network, frequently share resources like printers, big hard drives, and software. Cables are frequently used to connect the nodes. A LAN without physical wires is known as a wireless LAN (WLAN). A cable LAN and a WLAN frequently communicate in order for a WLAN to access its resources.

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The area of the triangle is 15 square units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

It is given that:

The triangle is shown on the coordinate plane.

Using the distance formula:

The height of the triangle:

\(\rm AC=\sqrt{(-2+2)^2+(-3-3)^2}\)

AC = 6 units

Again using the distance formula:

\(\rm BC =\sqrt{(3-(-2))^2+(-3-(-3))^2}\)

BC = 5 units

The area of the triangle = (1/2)6x5

The area of the triangle = 15 square units

Thus, the area of the triangle is 15 square units after using the distance formula.

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Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

The area of the triangle when the height is 12 cm would be 414 cm².

The area of the triangle is half the product of its base and height.

A = (1/2)bh

Given that the area A of a triangle whose base is b 3 cm less than six times the height h.

Consider h be the height of the triangle. With this the base may be represented as; 6h - 3.

Therefore,

A = (1/2)bh

A =  (1/2)(6h - 3)h

Now to the equation the value of h, 

  A = (1/2)((6)(12 cm) - 3)(12 cm)

A = 414 cm²

Therefore, the area of the triangle when the height is 12 cm would be 414 cm².

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