ABCD is a quadrilateral.

Sides are extended as shown.


Show that x = 100°

Answers

Answer 1

Solution :

Given :

ABCD is a quadrilateral.

Angle ADC = 90 degree

Angle DCB = 120 degree

Now angle DAB = 70 degree (alternate angles)

We know that the interior angles of a quadrilateral is 360 degrees.

So,

∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°

70° + ∠ ABC + 120° + 90 ° = 360°

∠ ABC = 360° - (70° + 120° + 90°)

∠ ABC = 360° - 280°

∠ ABC = 80°  

Now     ∠ x = 180° - ∠ ABC   (Line AB extended is 180° )

                   = 180° - 80°  

                  = 100°

Hence proved.

ABCD Is A Quadrilateral.Sides Are Extended As Shown.Show That X = 100

Related Questions

For which situation could flipping a coin be
used to generate a random sample?
A to predict if a machine will be
defective or not
B to predict student performance on an
exam
C to predict the number of peanuts in a
container
D to predict which of four players will
win a golf tournament

Answers

The answer is A! ———————-

A runner runs a distance of 640 metres in a time of 80 seconds.
What is his average speed?

Answers

Answer:

8 meters per second

Step-by-step explanation:

We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).

Answer:

8m/s

Step-by-step explanation:

Speed is equal the distance upon time.

640/80

so speed is equal to 8m/s

Write three ratios equal to 7/42

A. 7/42 7/49 7/56
B. 1/7 2/14 3/21
C. 2/10 3/15 4/20
D. 1/6 2/12 3/18

whoever does it i will give brainiest answer pls help

Answers

D.
lmk if it’s right :)

r(s to the power of 2)(t) when r=2, s=3, and t=5
Plzzz help

Answers

Answer:

90

Step-by-step explanation:

2(3)²(5)

2(9)(5)

18(5) = 90

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
4

x

7
4≤x≤7.

Answers

The answer would be 7

divide x^4+x^2-2x^2+x+1 by x-1

Answers

Answer:

= 0

Step-by-step explanation:

by using reminder theorem,

let, x - 1 = 0

then,

x = 1

plag in

1^4 + 1^2 - 2(1)^2 + 1 + 1

1 + 1 - 4 + 2

2 - 4 + 2

2 - 2

= 0

that's what I think.

Point B has coordinates (3,1). the x-coordinate of point A is -1. The distance between point A and point B is 5 units. What are the possible coordinates of point A?

Answers

Answer:

-1.3+2 that is point A to find ir

Bobby E. Lee has completed 57% of the race. If he has completed 114 laps, how many total laps are in the race?

Answers

Answer:

100% is 200 laps

Step-by-step explanation:

Answer:

200 laps

Step-by-step explanation:57%=114 1%=114/57=2 100%=2x100=200 laps

If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours

Answers

Answer:

64 times

Step-by-step explanation:

There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.

Answer and Step-by-step explanation:

We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.

1 : 15

We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.

15 × 4 = 60

We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.

1 × 4 = 4

Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1.    4 : 1

Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.

4 × 16 = 64

1 × 16 = 16

So, we have the ratio 64 : 16

This means that the person smokes 64 times in the 16 hours.

#teamtrees #PAW (Plant And Water)

PLEASE HELP ME ILL MAKE BRAINLIEST HURRY

The table below shows a proportional relationship between the cost of movie tickets and number of tickets purchased.



What is the constant of proportionality?

A
5.5

B
9.5

C
8.5

D
17

Answers

Answer:

D.17

Step-by-step explanation:

x^2+21x+1=5x+4
solve by completing the square show all work
(will give brainliest)

Answers

Answer:

x = 0.1854 and x = -16.1854

Step-by-step explanation:

refer to photo

!! Solve for the following equation step by step and justify your steps when using an exponential property.
(7^(x))^(4)=(7^(2)*7^(3))/(7^(3x))

Answers

Answer:

x = 5/7

Step-by-step explanation:

Here, we want to get the value of x

Firstly, according to indices;

(a^m)^n = a^(m * n) = a^mn

Also;

a^m * a*n = a^(m + n)

a^0 = 1 (any number raised to zero as its power is 1)

And lastly;

a^m divided by a^n = a^(m-n)

So using these we can have;

7^4x = 7^( 2 + 3)/7^3x

7^4x = 7^5/7^3x

7^4x = 7^(5-3x)

Since we have the same bases, we have to equate the powers

4x = 5-3x

4x + 3x = 5

7x = 5

x = 5/7

What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?

Answers

Answer:

[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

Using two - point form of the equation of straight line , we have :

[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]

- Plug the values :

[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]

[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]

[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]

♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.

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Orange gray produce 133,952 oranges. If a crate holds 92 oranges, how many crates were needed for shipping? (Write operation and answer) no links

Answers

Answer:

1,456 crates needed

Step-by-step explanation:

oranges = 133,952

crate capacity = 92

133,952 / 92 = 1,456 crates needed

product of the polynomial (2y+3)(3y^2+4y+5)
A.15y3 + 17y2 + 22y + 15
B.6y3 + 17y2 + 22y + 15
C.6y3 + 20y2 + 22y + 15
D.6y3 + 17y2 + 22y + 25

Answers

the answer is 6y^3+17y^2+22y+15

Please help, thank you!

Answers

Answer:

D

Step-by-step explanation:

The very first thing you have to realize is that the temperature goes further down the minus scale which means that only A and D can be correct. That's because time in this question is positive.

So if you just try the first value (x = 3), you will get

-3/2 * 3 = -9/2 which would mean that you would add -4 1/2 onto - 10 which is much larger than - 10

A: is not the answer.

-2/3 * 3 - 10 = -6/3 - 10 = -2 - 10 = - 12

That is the answer you should get. The answer is D.

Akash draws a 4 from ten cards numbered 1 through 10. He replaces the card. Then Ramesh draws a 7. What is the probability of getting a 4 and a 7?

Answers

Answer:

1/100

Step-by-step explanation:

P(4 then 7) = 1/10 x 1/10

What is the range of the function?

Answers

Answer:

j -last one

Step-by-step explanation:

the range represents all values of y so the answer is J

Use the figure and follow the directions below

Answers

Answer:

The answer is B

Step-by-step explanation:

Hi could someone solve this for me i have been stuck for an hour now XD

Answers

Answer:

The anwser is 40.82

Step-by-step explanation:

Pie times radius

Answer:

[tex] \large{ \tt{☄ \: STEP - BY- STEP \: EXPLANATION}} : [/tex]

We are provided the diameter of circle ( d ) i.e 13 cm & value of pi ( π ) i.e 3.143. We are asked to find out the circumference of the given circle ( C ).

[tex] \large{ \tt{✎ \: LET'S \: START} }: [/tex]

[tex] \boxed{ \large{ \tt{❃ \: Circumference \: of \: a \: circle = \pi \: d}}}[/tex]

- Plug the given values & Multiply 3.142 by 13

[tex] \large{ \tt{↬ \: 3.142 \times 13}}[/tex]

[tex] \boxed{ \large{↬ \tt{40.846 \: cm}}}[/tex] [ Don't forget to write the units i.e cm ]

[tex] \boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER: \boxed{ \underline{ \tt{40.846 \: cm}}}}}}[/tex]

[tex] \large{ \tt{✺ \: STUDY \: TIPS}} : [/tex]

If you realize you've been studying for hours : Grab a snack to refuel your body and watch a sitcom to refuel your brain then back to the books! ♪

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☃ Have a wonderful day / evening ! ☼

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You have an assignment due in 2 hours, 30 minutes (150 minutes total). The assignment has 25 problems for you to complete. If you have not started yet and spend the same amount of time on each problem, how much time can you spend on each problem and complete all 25 problems in time?

Create and solve a linear inequality to determine how much time you can spend on each problem.

What does your solution from part (a) represent/mean?

PLEASE HELP !!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]t \le 6[/tex] min

Step-by-step explanation:

The time to do 25 problems should take less than (or equal to) the 150 minutes available.

[tex]25t \le 150\\t \le 6[/tex]

PLS HELP ILL GIVE BRAINLIST AND FOLLOW U

Answers

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

While painting the side of his house, Jason positioned his ladder so that the top was 16 feet

above the ground, while the bottom was 12 feet away from the base of the wall. To reach a

spot higher up on the house, Jason moved the ladder so that the top was 18 feet above the

ground. How much closer to the house is the bottom of the ladder now?

Answers

The bottom of the ladder is now 96 feet closer to the house compared to its initial position.

To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:

Initial ladder position:

Top of the ladder is 16 feet above the ground.

Bottom of the ladder is 12 feet away from the base of the wall.

New ladder position:

Top of the ladder is 18 feet above the ground.

Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.

Using the initial position of the ladder:

(16 ft) / (x + 12 ft) = (18 ft) / (x)

Cross-multiplying:

16 ft * x = 18 ft * (x + 12 ft)

Expanding:

16x = 18x + 216 ft

Moving the terms involving x to one side:

16x - 18x = 216 ft

Simplifying:

-2x = 216 ft

Dividing by -2:

x = -108 ft

Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.

Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):

108 ft - 12 ft = 96 ft

for such more question on triangles

https://brainly.com/question/17335144

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Please help me with either one, (all both) I’ve been struggling with this

Answers

Answer:

x = 12, x = 7

Step-by-step explanation:

The 2 legs of the triangle are congruent, both 2x + 7, then

2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter

5x + 25 = 85 ( subtract 25 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

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

Opposite sides are congruent, then

2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides

4x + 10x + 6 = 104

14x + 6 = 104 ( subtract 6 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

Answer:

x=12 x=7 yup thank me later

What is the mean for 46 47 52 55 64 69 70 78

Answers

answer: 60.125

step-by-step explanation:

46 + 47 + 52 + 55 + 64 + 69 + 70 + 78 is 481, then you divide it by the amount of numbers you have which is 8 and you get 60.125

help asap plzz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Figure - 1 :

The given triangles are similar, so their corresponding sides will be proportional.

Let the missing side be x

[tex] \dfrac{45}{3x + 9} = \dfrac{20}{16} [/tex]

[tex]3x + 9 = 45 \times \dfrac{16}{20} [/tex]

[tex]3x + 9 = 45 \times \dfrac{4}{5} [/tex]

[tex]3x + 9 = 9 \times 4[/tex]

[tex]3x = 36 - 9[/tex]

[tex]x = \dfrac{27}{3} [/tex]

[tex]x = 9 \: \: units[/tex]

_____________________________

Figure - 2 :

The given figure is a Cylinder :

[tex] \large \boxed{ \mathrm{volume = \pi {r}^{2}h }}[/tex]

[tex] \dfrac{22}{7} \times 9 \times 9 \times 5[/tex]

[tex] \dfrac{8910}{7} [/tex]

[tex]1272.3 \: \: yd {}^{3} [/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1600. what are the rate charged per hour by each mechanic. if the sum of the two rates are $215 per hour.

Answers

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

The rate charged per hour by the first mechanic = $105,

And the rate charged per hour by the second mechanic = $110.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity gives after combining as x + y.

Given that,

Two mechanics worked on a car.

The first mechanic worked for 10 hours.

The second mechanic worked for 5 hours.

Together, they charged a total of $1600.

The sum of the two rates charged per hour is $215.

Assume that,

The rate charged per hour by the first mechanic is = x dollars,

The rate charged per hour by the second mechanic is = y dollars.

The first mechanic worked for 10 hours,

The total amount earned by the first mechanic would be 10 times their hourly rate = 10x dollars.

Similarly,

The second mechanic worked for 5 hours,

The total amount earned by the second mechanic would be 5 times their hourly rate =  5y dollars.

Set up two equations based on the given information:

The first equation is the sum of the two rates, which is,

x + y = 215  ......(i)

The second equation is the total amount earned by both mechanics,

10x + 5y = 1600  .....(ii)

Use substitution to find the values of x and y:

From the first equation, we can express x in terms of y as,

x = 215 - y

Substitute this value of x into the second equation:

10(215 - y) + 5y = 1600

Expanding the equation, we get,

2150 - 10y + 5y = 1600

Combining like terms, we have:

-5y = 1600 - 2150

-5y = -550

Dividing both sides of the equation by -5, we get:

y = 110

Now that we have the value of y,

Substitute it back into the first equation to find x:

x + 110 = 215

Subtract 110 from both sides, and we get:

x = 105

Hence,

The rate charged per hour by the first mechanic is $105, &  the rate charged per hour by the second mechanic is $110.

Learn more about the ratio visit:

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please help me i suck at this

Answers

Answer:

x = 10

Step-by-step explanation:

We know that in a parallelogram base angles are supplementary angle (add up to 180°)

Given that;

∠U = 9x + 15

∠V = 6x + 15

we can say that:

∠U + ∠V = 180°

(9x + 15) + (6x + 15) = 180

Combining like terms we get;

15x + 30 = 180°

15x = 180 - 30

15x = 150

x = 150/15

x = 10

Hope this helps!

One number is six less than a second number. Twice the first is 4 more than times 6 the second. Find the numbers.

Answers

Answer:

[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]

Step-by-step explanation:

We can write the following system of equations:

Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:

[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]

Solving, we get:

[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]

Solving for [tex]s[/tex]:

[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]

what is the slope of the line that passes through the points (3,-20) and (5,8)?

Answers

Answer:

14

Step-by-step explanation:

The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.

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The relationship between the decay constant () and the half-life (t12) is given by the equation t(1/2) = 0.693/. Use the equation for N to derive this relationship.Hint: when t = t(1/2), N/No = 0.5 (1 point)A sample of carbon-14 initially consists of 5 1024 particles. Carbon-14 has a half-life of 5730 years. a. What is the decay constant for carbon-14? (Answer in units of yr1.) (1 point)b. How many radioactive particles of the sample remain after 100 years? (1 point)c. What percentage of the radioactive particles remains after 500 years? (1 point)d. How many radioactive particles of the sample remain after 1000 years? (1 point)e. How much time will it take for 50% of the particles to decay? (1 point)f. How much time will it take for 99% of the particles to decay? (1 point)g. How many half-lives will it take for 99% of the sample to decay? (1 point)h. What is the initial decay rate of the sample? (Answer in decays/yr.) (1 point)i. After 200 years, what is the decay rate of the sample? (1 point)j. How long will it take for the decay rate to decrease to 1015 decays/year? (1 point)k. How many half-lives have passed after the time you found in part (j)? (1 point) what is the value of x if x =32 Which expression represents the volume, in cubic units,of the shaded part of the sphere?4/3(10) + 4/3(4)4/3(10) - 4/3 (4)4/3(20) + 4/3 (4)4/3(20) - 4/3 (4) Can anyone help me with my math I have a picture of it Find the GCF of the expression 24a^7 +18a^5+12a^3 URGENT!!which has the largest London dispersion force out of the ones listed Unlike informational writing, literature may persuade by doing which of the following?Select one:a.giving factual information about the lives of charactersb.inspiring empathy in the lives of charactersc.using illogical argumentsd.making false claims In Celtic folklore, fairies used their magic for good and evil.O TrueO False CLola is a nursing assistant helping a patient with oxygen therapy. Which action should be taken to prevent skinirritation?O cleaning the patient's face but not the maskO cleaning the patient's face and maskO notifying a nurse if oxygen levels change from the patient's planO notifying a nurse if the patient requests a break from treatmentSave and ExitNextSubmit 4. Why did some people claim that internment camps were unconstitutional? Use the diagram of the right triangle above and round your answer to the nearest hundredth.If Measure of angle B = 60 degrees and a = 10 meters, find b. Do u know what human rights are ? Please explain your answer What is the main idea of this political cartoon? A. Children should not run with sharp, pointed objectsB. North Korea should restructure their economic systemC. The United Nations has no control over North KoreaD. The United Nations treats small countries as children Which of the following kingdoms does not belong with Domain Eukarya?Kingdom PlantaeKingdom EubacteriaKingdom FungiKingdom Animalia A test was given to 120 students, and the scores approximated a normal distribution Ifthe mean score was 72 with a standard deviation of 7, approximately what percent of thescores were 65 or higher? Give two food sources that are high in each of the three types of fatty acids? Math- bbbbbbbbbbbbbbb William discovers that the number of nuts in a bag of cashews is normally distributed with mean 42 and standard deviation 4. If he buys 200 bags, how many of them can he expect to contain fewer than 34 nuts? Provide two programming examples in which multithreading provides better performance than a single-threaded solution. Provide one example where singlethreaded solution performs better than multi-threaded solution A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?