If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?

Answer:

  x = 20

Step-by-step explanation:

The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.

__

  total time = Journey A time + Journey B time

  total time = (distance A)/(speed A) + (distance B)/(speed B)

  total time = 15/x +6/(x+4) = 1 . . . . . using the given values

Multiplying by x(x+4) we have ...

  15(x +4) +6(x) = (x)(x +4)

  21x +60 = x² +4x

  x² -17x -60 = 0 . . . . . rearrange to standard form

  (x -20)(x +3) = 0 . . . . factor the equation

  x = 20  or  x = -3 . . . values of x that satisfy the equation

We know the speed must be positive, so x = -3 is an extraneous solution.

The value of x is 20 (km/h).

The reason that best supports statement 5 is: B. multiplication property of equality.

When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.

In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.

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Answer:

Step-by-step explanation:

Comment

(Fans who received a baseball) = 2500

Total number of seats in Yankee Stadium = 50086

P(those who got a baseball) = 2500 / 50086

Answer P(Those who got a baseball) = 0.04991 rounded.

Answer:

120 degrees.

Step-by-step explanation:

360 * 1/3 = 120

Answer:

  A.  Consecutive sides have opposite reciprocal slopes

Step-by-step explanation:

A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.

__

A. Consecutive sides have opposite reciprocal slopes

Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.

B. All sides are congruent

A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.

C. Opposite sides are parallel

A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.

D. Consecutive sides are congruent, opposite sides are not.

This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.

_____

Additional comment

If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.

Using the given functions, the value of f(3) is 155

From the question, we are to determine the value of f(3) using the given function.

The given function is

f(n) = 5f(n-1) + 5

To determine the value of f(3),

First, we will determine the value of f(2)

From the given function

f(n) = 5f(n-1) + 5

We can find f(2) as shown below

f(2) = 5f(2-1) + 5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

∴ f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Now, we can determine f(3)

Also, from the given function

f(n) = 5f(n-1) + 5

Then,

f(3) = 5f(3-1) + 5

f(3) = 5f(2) + 5

Substituting the value of f(2) into the equation, we get

f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of f(3) is 155

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Answer:

4 +311/59 answer IsD ong I know

Answer:

Ash has 58 flowers in total

Step-by-step explanation:

Given:

-  buys 5 bunches

- each bunch contains 10 flowers

- 8 more flowers from his yard.

5 bunches times 10 flowers plus the 8 more flowers from the garden

F = 10(5) + 8

F = 50 + 8

F = 58

Answer:

Ash has 58 flowers in all

Step-by-step explanation:

Y representing = bunches of flowers  

F representing =  the flower  

1. Y=10f      

2. Y=10f                    5 x 10 = 50

3. Y=10f                   50 + 8 = 58

4. Y=10f      

5. Y-10f                      

                         f = 58

Answer:

For rectangulasr prism

a. [tex]72cm^3[/tex]

b. [tex]108cm^{3}[/tex]

Step-by-step explanation:

For rectangulasr prism

a. Equation: Volume = length x width x height

length: 6cm

width: 4cm

height: 3cm

Volume = 6cm x 4cm x 3cm

Volume = 24cm x 3cm

b. Equation: A = 2[(width x length) + (height x length) + (heigth x width)]

A = 2[(4cm x 6cm) + (3cm x 6cm) + (3cm x 4cm)]

A = 2[(24cm) + (18cm) + (12cm)]

A = 2[(24cm) + (30cm)]

A = 2[(54cm)]

Answer:

mean: 106900

median: 8500

mode: 7,000, 8,000, and 11,000

Step-by-step explanation:

To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.

Answer:

Step-by-step explanation: Parts of a circle.

Radius - the side of one slice of pizza

minor arc - The arc formed by the outer side of 3 or less slices of pizza

Diameter - the slice of pizza from side to side that passes through the center

Major arc - The arc formed by the outer side of 5 to 7 slices of pizza

semi circle - 4 slices of pizza or half of the whole pizza

Pairs:

angle BAC - Inscribed angle

Line IE - Secant

Segment AC - Chord

Arc FH - Minor arc

Angle HGF - Circumscribed angle

The complete sentences are:

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.

Given:

We have circle with center O.

Now, <BAC is inside the circle.

So, <BAC is an  Inscribed angle.

then, IE is a secant as it is intersecting circle at two points

then, AC id a chord

then, Arc FH is a minor arc

and, <HGF is an Circumscribed angle as it is outside the circle.

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Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12

Answer:

x = 3

Step-by-step explanation:

The pattern is that every other number increases by 1, while the next decreases by 2

1. 17,18,19,20

2. 9,7,5,x

5-2 =3

3 is the answer.

Solutions:

Odd Terms: 17, 18, 19, 20

Find the common difference.

d = a₂ - a₁

d = 18 - 17

d = 1

Thus, for every odd term, the next terms are derived by adding 1.

Even Terms: 9, 7, 5, x

Find the common difference.

d = a₂ - a₁

d= 7 - 9

d = -2

Find x.

x = 5 + d

x = 5 + (-2)

x = 5 - 2

x = 3

Therefore, x = 3.

In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.  

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Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.

Answer:

x < 7

Step-by-step explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

Answer:

So basically there are the letters V, U , T, and S on each corner right? If you remove the X and cross in the middle, the shape of V, U, T, and S gives you a parallelogram. A parallelogram is a shape that has two pairs of parallel sides. The lines V and U are parallel to the lines S and T. The same goes for lines V and S; they are parallel to U and T.

Step-by-step explanation:

I hope this helped! I tried to explain the best as I could..

Answer:

24.85 mph

Step-by-step explanation:

I hope you have a great day:)

Answer:

A square is sometimes a rectangle, but a rectangle is never a square.

Answer:

The answer is below.

Step-by-step explanation:

Elk: Total elk is 225

Mountain Goat: Total Goat is 164

Deer: Total Deer is 105

Moose: Total Moose is 86

Answer:

100

Step-by-step explanation:

She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.

(75 + 80 + x)/3 = 85

Times by 3.

75 + 80 + x = 255

155 + x = 255

subtract 155.

x = 100

She needs 100 on the third test.

a) The difference between the temperatures is 5°c.

b) We will see that at midday, the temperature is 12°C.

We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.

a) First we want to find the difference between the temperatures, we can compute that directly:

T' - T = -3°C - (-8°C) = 5°C

This means that the temperature increased 5°C in that time interval.

b) At midday, the temperature was 9°C higher than at 5am, this means that:

T'' - T' = 9°C

T'' - 3°C = 9°C

Now we can solve this for T''

T'' = 9°C + 3°C = 12°C

At midday, the temperature is 12°C.

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         What is -4x+2>26?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

First subtract 2 on both sides, which results in

-4x>24

Now, divide by -4 on both sides:

x<-6

The inequality sign changed because we divided both sides by a negative number.

So the values of x less than -6 will make this inequality true (will satisfy the inequality).

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Answer:

I hope it helps................

The quadrilateral which can be considered  as a "Parallelogram" or "Not necessarily a parallelogram. are second and fourth figure.

"The correct figures are (b) and (d)

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).

        Here the adjacent angle are given equal.

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A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

A normally distributed data set has a mean of 0 and a standard deviation of 2.

[tex]Z=(x-\mu)/\sigma[/tex]

[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]

[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)

=.49865+.3413

.83995…….(by (http://83995…….by) table value)

=.8400 × 100

=84%

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Answer:

314.16cm²

Step-by-step explanation:

please mark me as brainliest.hope this helps

Answer:

A. 198 gift certificates.

Step-by-step explanation:

The probability of winning on a single spin = 3/8.

Number of expected winners

= 528 * 3/8

= 66 * 3

= 198.

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer burgers= 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy chicken is 260.

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Answer:

See below

Step-by-step explanation:

The mean is simply adding up each data value and dividing your result by the number of data values:

[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]

The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:

[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]

What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.

Answer:

See below ~

Step-by-step explanation:

Part A

Part B