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

In This Rug, Given The Horizontal Segments Are Parallel And 1 2, Prove 3 5.

Answers

Answer 1
Angles 1 and 3 are alternate interior angles, meaning that they are congruent .

Angles 2 and 5 are alternate interior angles, meaning that they are congruent .

Making angles 3 and 5 congruent.
Answer 2

1 is congruent to 3 and 2 is congruent to 5 because alternate interior angles are congruent.

Since 1 is congruent to 3 and to 2, then 3 is congruent to 2.

But 2 is congruent to 5, so since 3 is congruent to both 3 and 5, 3 and 5 must be congruent to each other.

What is being congruent in math?

Two geometric figures are said to be congruent or to be in the relation of congruence if it is possible to superpose one of them on the other so that they coincide throughout.

        The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.

What is an alternate interior angle?

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.

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Related Questions

Find the 1st term of an arithmetic sequence whose common difference is - 9 and whose 101st term is - 902.

Answers

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

20 yd
17 var
15 yd
16 yd
17 yd
6 in
I need the surface area

Answers

Answer:

1120 yards cubed

Step-by-step explanation:

hope this helps

have a good day

A book has 180 pages. Haley read 12 pages each day.after a certain number of days there are 60 pages left,which equation and solve for X gives the number of days he read

Answers

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

Each planter has a base of 3
1
2
in by 1
3
4
in.
What is the area covered by all the planters?

Answers

Answer:

outcome, sample space.AND EVENT

What are the solutions of the equation 4x2 3x = 24 – x? –3, 2, or 4 –3 or 2 –2, 3, or 4 –2 or 3

Answers

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 :)

Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. How much does Dalia pay in total?

Answers

Since the sales tax is 6%, you pay 106% of the winter jacket. 1.06 x 30 = 31.8%

what is 62.5% as a decimal

Answers

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.

Does anybody know this? ABCD is a parallelogram BDC=110. Find the following values,

Answers

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)

i need help can someone help meeee

Answers

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

The following data set represents the age of
people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:

Answers

[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]


~[tex]\frak{Amphitrite1040:)}[/tex]

a town is 61km north of 23km east of town B.bCalculate the bearing of A from B​

Answers

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°.

please help i’m struggling

Answers

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

Find the area of the circle. Use 3.14 for pi. Round to the nearest unit. A circle has a diameters of 18 centimeters. A. 1,017 cm2 B. 254 cm2 C. 57 cm2 D. 28 cm2 2 / 5

Answers

Answer:

B. 254 cm²

Step-by-step explanation:

Hello!

Circle

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

A is areaπ is pi (roughly 3.14)r is the radius

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

Area

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

[tex]D = 2r[/tex][tex]18 = 2r[/tex][tex]9 = r[/tex]

The radius is 9

Now we can plug 9 into the area formula:

[tex]A = \pi r^2[/tex][tex]A = \pi (9^2)[/tex][tex]A = 81\pi[/tex]

We are going to use 3.14 for pi

[tex]A = 81(3.14)[/tex][tex]A = 254.34[/tex]

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]

Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. What is the probability that all of Erica's flights will be on time? А 36% B 66% С 76% D 86%.​

Answers

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

What is probability?

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.

Probability that all of Erica's flights will be on time

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%.

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A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.



Consider the graph of function r.



Use the graph to complete each statement.

Function r has
and
. Based on the instantaneous growth rate, the population decreased
days and the population increased
days.

Answers

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.

The mean age of 11 women in an office is 19 years old. The mean age of 11 men in an office is 26 years old. What is the mean age (nearest year) of all the people in the office?

Answers

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

Help please anyone please

Answers

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)

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

Answers

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

What is distance?

distance is the length between two points.

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

Formula:

cos∅ = adjacent(y)/hypotenous(h)

Make y the subject of the equation

h = y/cos∅........ Equation 2

Where:

∅ = Angle between the wall and the laddery =  horizontal distance between the base of the ladder and the wallh = Lenght of the ladder lean against the wall

From the question,

Given:

y = 24 foot∅ = 69°

Substitute these values into equation 2

y = 24/(cos69°)y = 24/0.358y = 67.0 feet.

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

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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

Help, been stuck on this problem for 20 minutes!

Answers

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

Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?

Answers

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 ^^

I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.​

Answers

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.

Can someone please help me with this

Answers

Answer:

Need to see question

Step-by-step explanation:

What's the question?

96 Eight small bricks have the same mass as three large bricks The mass of one small brick is 1.5kg. What is the mass of one large brick?​

Answers

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.

Which inequality represents all values of x for which the quotient below is defined? Square root 7x2 divide by square root 3x

Answers

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

What are inequalities?

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.

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Answer: x>0

Step-by-step explanation:

pls help me ?!?Liz purchases groceries her village store that totaled $55 before tax. how much did she have to pay in total after tax?

Answers

Answer:

I don't understand the question

Choose the appropriate trigonometric ratio and solve for x. Round your answer to the nearest tenth.

Answers

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

What is the period of the function graphed below?

Answers

Answer:

2

Step-by-step explanation:

The period is the distance between two peaks

3x8 to the second power

Answers

Answer:

the answer is 192 , hope it helps

Need this asap! What is the denominator of the next term in the geometric sequence?

Answers

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.

Serena is taking 4 friends on a trip with her to Louisiana for spring break. They take two cars to the airport where Serena pays $7.00 per car to park. Serena is charged a total of $2114.00 for tickets and parking. She pays the same price for each plane ticket. Using an equation to help you solve, what was the price of each person’s ticket?

Answers

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

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