In this rug, given the horizontal segments are parallel and ∠1 ≅ ∠2, prove ∠3 ≅ ∠5.

Answer:

$420

Step-by-step explanation:

number of people = 5 (4 friends + serena)

number of cars = 2

cost of parking = 7 for each car = 7 * number of cars = 7 * 2 = 14

let t be the cost of each ticket

cost of tickets = t for each person = t * 5

total cost = cost of parking + cost of tickets

= 14 + t * 5

= 2114

2114 = 14 + 5t

subtract 14 from both sides to isolate the variable and its coefficient

2100 = 5t

divide both sides by 5 to isolate t

t = 2100/5 = 420

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Breaking the meaning down in simpler terms}[/tex]
[tex]\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}[/tex]

[tex]\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}[/tex]

[tex]\huge\textsf{Formulas for each term}[/tex]

[tex]\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }[/tex]

[tex]\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}[/tex]

[tex]\huge\textbf{SOLVING FOR THE QUESTION}[/tex]

[tex]\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}[/tex]

[tex]\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}[/tex]

[tex]\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

2

Step-by-step explanation:

The period is the distance between two peaks

Answer:

a = -2

Step-by-step explanation:

Tn = a+(n-1) * d

-902 = a + (101-1) * -9

-902 = a - 900

a = -902 + 900

a = -2

Answer:

see explanation

Step-by-step explanation:

in a parallelogram]

• opposite sides are congruent

• opposite angles are congruent

• consecutive angles are supplementary , sum to 180°

• diagonals bisect each other

Then

DC = AB = 15

BC = 2 × WC = 2 × 9 = 18

∠ BAC = ∠ BDC = 110°

∠ DCA = 180° - 110° = 70°

DC = 15 (opposite sides in a parallelogram is parallel and equal to each other)
BC = 18 (the diagonals in a parallogram bisect at their midpoints -> BW = WC = 9 -> BC = 9 + 9 = 18)
angle BAC = 110 (opposite angles are equal to each other)
angle DCA = 70 (consecutive angles add up to 180, angle BAC and angle DCA are consecutive -> 180 - 110 = 70)

Answer:

  20.7°

Step-by-step explanation:

Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.

__

The attachment shows the geometry. The relevant angle relation is ...

  Tan = Opposite/Adjacent

  tanIβ) = 23/61 . . . . . where β is the bearing angle

The angle value can be found using the arctangent function.

  β = arctan(23/61) ≈ 20.659°

The bearing of A from B is about 20.7°.

Answer:

2 and - 3

Step-by-step explanation:

I've attached my work...

- 4 + 20 / 8 -> 16/8 = 2

- 4 - 20 / 8 -> -24/8 = -3

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

4 kg

Step-by-step explanation:

Since the mass of one small brick is 1.5 kg, the mass of 8 small bricks is 1.5 × 8, or 12 kg. Since 12 kg is the total mass of 3 large bricks, it follows that each large brick will have a mass of 12 ÷ 3, or 4 kg.

Answer:

I don't understand the question

Answer:

[tex]r(x) = 0.05 (x^{2}+1 )x-6[/tex]

Step-by-step explanation:

Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

Answer:

  x = 35

Step-by-step explanation:

The halves of a bisected angle have the same measure.

__

  (x +34)° = 69°

  x = 69 -34 = 35

The value of x is 35.

Answer:

the answer is 192 , hope it helps

Answer:

22.5

Step-by-step explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:

11 x 19 = 209

And then we can do the same for men:

11 x 26 = 286

And now we can combine the sum and count of the men and women to find the mean for the office:

286 + 209 = 495

495/22 = 22.5

Answer:

1120 yards cubed

Step-by-step explanation:

hope this helps

have a good day

Answer: She read for 10 Days, equation below

Step-by-step explanation:

Number of pages = 180

Rate = 12pages Per day

Number of days read = (180-60) /12

Days read = (total no of page - page left)/page read per day

= 120/ 12 = 10 days

Days remaining = pages left /page per day

=60/ 12 = 5

Since the chance of a flight being on time is 90%. The probability that all of Erica's flights will be on time is B 66%.

To answer the question, we need to know what probability is

This is the likelihood for an event to occur. It is given by

P(event) = number of required outcomes/total number of outcomes

Now, given that Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. So, P(flight) = 90%. Since they are indepent, we multiply their probability.

So, the probability that all of Erica's flights will be on time is P(on time) = P(flight) × P(flight) × P(flight) × P(flight)

= [P(flight)]⁴

= (90%)⁴

= (0.9)⁴

= 0.656

≅ 0.66

= 66%

So, the probability that all of Erica's flights will be on time is B 66%.

Learn more about probability here:

https://brainly.com/question/25870256

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Answer:

1. 6.25 cm                2. 6 cm

3. 6.5 cm                   4. 8.8 cm

Step-by-step explanation:

As area =  length x width

so,      width = area / length ----------(1)

               by applying (1) on every part

1. 31.25 / 5

= 6.25 cm

2. 55.5 / 9.25

= 6 cm

3. 48.75 / 7.5

= 6.5 cm

4. 44 / 5

= 8.8 cm

Answer:

0.625

Step-by-step explanation:

please give me brainliest :(

Answer:

0.625

Step-by-step explanation:

How to Convert a Percent to a Decimal

Here are two ways to convert a percent to a decimal,

1. Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Example: 62.5% becomes 62.5/100 = 0.625

2. This way is easier and faster. Start by removing the percent sign and moving the decimal point 2 places to the left.

Example: 62.5%

⇒ 62.5

⇒ 6.25

⇒ .625

Hence, the answer is 0.625.

Answer:

62.7

Step-by-step explanation:

Cos(ang) = Adjacent / hypotenuse

cos(37) = 48/x

x = 48 / cos(37)

x = 62.71

Answer:

x = 60.1

Step-by-step explanation:

- The provided side length is adjacent to given degree

- and we are lookin for the hypotenuse  

SOH CAH TOA stands for,

sinx = opposite / hypotenuse

cosx = adjacent / hypotenuse

tanx = opposite / adjacent

cosine fulfills everything we have provided so we will choose cos

NOTE: x in cosx represent the degree amount

Solving:

cosx = adjacent / hypotenuse

cos(37°) = 48 / x

multiply both sides by x,

cos(37°)x = 48

divided both sides by cos(37°) to get x alone

x = 48 / cos(37°)x

x = 60.1025

Answer:

outcome, sample space.AND EVENT

Answer:

B. 254 cm²

Step-by-step explanation:

Hello!

The formula for the area of a circle is [tex]A = \pi r^2[/tex]

The radius is half of the diameter, given with the formula [tex]D = 2r[/tex]

Using the information, we can first solve for the radius.

The radius is 9

Now we can plug 9 into the area formula:

We are going to use 3.14 for pi

The area is 254.34cm².

We are going to round to the nearest whole centimeter, which is roughly 254cm² or [tex]\boxed{\text{Option B}}}[/tex]

Answer: 24[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Answer:

24√6

Step-by-step explanation:

(3√8)(4√3) = 3 × 4 × √(4 × 2 × 3) = 12 × √4 × √6 = 12 × 2 × √6 = 24√6

Answer:

You seem to have two questions, so I will answer both!

Step-by-step explanation:

The answer for the cube volume is D

If you remove a cube from another cube it is affecting more than one side, hence the -1 on two differents p's.

The true area of that house is 48m^2

Take the before scaling it, multiply it by the scale (200)

Square your answer and get around 48 m^2

(You actually get like 48.9897 etc, but we are kind of ignoring that)

Answer:

5

Step-by-step explanation:

Perimeter is all the sides of a shape added together, and theres 4 sides of a triangle. 20/4=5

The horizontal distance between the base of the ladder and the wall is 67.0 feet.

distance is the length between two points.

To calculate the horizontal distance between the ladder and the wall, we use the formula below.

Formula:

Make y the subject of the equation

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, The horizontal distance between the base of the ladder and the wall is 67.0 feet.

Learn more about horizontal distance here: https://brainly.com/question/24784992

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Harper leans a 24-foot ladder against a wall so that it forms an angle of 69

∘

∘

with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary

8.6 feet

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given expression can be solved as,

[tex]\dfrac{\sqrt{7x^2}}{\sqrt{3x}}\\\\= \dfrac{\sqrt{7}x}{\sqrt{3x}}\\\\= \sqrt{\dfrac{7x}{3}}[/tex]

Since the value of (7x/3) is needed to be positive, therefore, the inequality that represents all the values of x for the quotient is defined as x>1.

Hence, the correct option is D.

The complete question is mentioned in the below question.

Learn more about Inequality:

https://brainly.com/question/19491153

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Answer: x>0

Step-by-step explanation:

Answer:

25% or 0.25

Explanation:

Based on the given conditions, formulate: 2 divided by 8

Reduce the fraction: 1/4

get the result: 25% or 0.25

Answer: 25% or 0.25

Please Vote Me Brainliest. Thank You.

Answer:

48 : 1 or 48 to 1

Step-by-step explanation:

to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96

then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image

96 : 2

find the least common denominator...

96 / 2 : 2 / 2
 = 48 : = 1

and then rewrite the answer

48 : 1

good luck with ur studies, hope this helps with future problems ^^

Answer:

Need to see question

Step-by-step explanation:

What's the question?

Answer:

162

Step-by-step explanation:

the pattern in the denominators is ' multiply by 3 '

that is

2 × 3 = 6

6 × 3 = 18

18 × 3 = 54

then the next denominator is

54 × 3 = 162

Answer:

162

Step-by-step explanation:

The multiplication number will be 3.

2x3=6

6x3=18

18x3=54

54x3=162. and so on.

Just make sure to multiply your next answer by 3.