Mathematics College

In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.

Equation:
x=
angle b=

In Quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.A=5x+20,B=3x30,C=2x+10,andD=8x.

Answers

Answer 1

Answer:

Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

x = 20

Angle B = 30°

Step-by-step explanation:

Given:

<A = 5x + 20

<B = 3x - 30

<C = 2x + 10

<D = 8x

Sum of interior angles of a quadrilateral = 360°

Therefore:

<A + <B + <C + <D = 360°

(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

Solve for x

5x + 20 + 3x - 30 + 2x + 10 + 8x = 360

Collect like terms

5x + 3x + 2x + 8x + 20 - 30 + 10 = 360

18x = 360

Divide both sides by 18

x = 360/18

x = 20

<B = 3x - 30

Plug in the value of x

<B = 3(20) - 30 = 60 - 30

<B = 30°

Related Questions

20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.

Answers

Answer:

a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars

Step-by-step explanation:

a) Alun's earn equation is

E=0.05t+34

b) when t=400, then

E=0.05(400)+34

E=20+34

E=54

c) when E=64, then

64=0.05t+34

hence

0.05t=64-34

0.05t=30

[tex]t=\frac{30}{0.05}[/tex]

t=600

Simplify the expression below: (3−13)2+1442−5·2

Answers

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

If lines a and b are parallel, which conclusion and reason is valid? PLEASE HELP MEEEE

Answers

B because both lines a and b are parallel which makes 1 and 9 congruent

solve for z
4/z =
12/5
what is z

Answers

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109

B. c+a=109
c=a+15

C. c+a=109
a=c+15

D. c-a=15
c=a+109

Answers

Answer:

C

Step-by-step explanation:

Please answer for me domain and range

Answers

There’s no equation or picture?

Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.

Answers

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?

Answers

Answer:

c = 3b

Step-by-step explanation:

9 cakes proportional to 3 bags of flower

cake = k(bag)

c = kb

9 = k(3)

k = 3

c = 3b

you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.

please mark brainliest if you like the answer

A pediatrician prescribes an infant patient 2.5 mL of Vistaril bid for 10 days. The label

on the medication indicates that the bottle contains 25mg/5mL of the oral suspension.

How many teaspoons full should the infant receive daily?

Answers

Answer: 1 teaspoon

Step-by-step explanation:

The calculation on the number of teaspoons full that the infant should receive daily should be:

Ordered dose = 2.5 ml bid and this should be given twice a day.

Since it's take twice, the total dose for the day will be:

= 2.5 × 2

= 5.0ml

Since 1 teaspoon is equal to 5ml, it means that the teaspoon that the infant should receive daily is 1 teaspoon.

8/6+(-9/5) . . . . . . . .. .. . .. . . . .. . .. .

Answers

Answer:

To add fractions, find the LCD and then combine.

Exact Form:

-7/15

Decimal Form:

−0.46

Jamie recorded vehicle turning choices at the intersection near his house. He organized the results in the table shown.



Based on Jamie’s results, what is the probability of a vehicle turning versus continuing straight?

Answers

Answer:

There is no table or picture and nice Uzumaki clan picture.

I know this question so here

It is less likely the vehicle will turn left asgoing straight

Step-by-step explanation:

plz mark brainliest

PLS HELP SOMEBODY I NEED HELP

Answers

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green

Answers

Answer:

61 years old in the year 2020

Step-by-step explanation:

Let us assume the question was asked in the year 2020, that is this year

Say that Mr. Green was born in year x

The mathematical expression for his statement is given as

[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]

Solve for x

x + 2020 + 2020 - x - x - 60 - x = 122

4040- 122- 2x = 0

3918= 2x

divide both sides by 2

3918/2= x

x=1959

He was born in 1959, so now

he is (2020-1959)

=61 years old.

The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?

Answers

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of​ car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

3500 divided  by 1750 is 2 which is equal to 50%

fill in the blanks on the Trapezoid ​

Answers

i’ll put the blanks in () so,,
2x+ 12 + (3y)
(2)x+(162)
x=(9)

I need help help me please

Answers

Answer:

The answer is line A

Step-by-step explanation:

It is Because try putting 0 in th eeqaution you will get 1 on LHS

Answer:

Line A

Step-by-step explanation:

The given function can also be seen as the equation of the line in slope-intercept form:

[tex]y=mx+b[/tex]

Where:

m is the slopeb is the y-interceptx and y are corresponding coordinate points that lie on the line (x,y)

Since all the lines are parallel, they all have the same slope. All we need to do is find the one that has a y-intercept of 1. The y-intercept is where x=0.

Line A: [tex]b=1[/tex]

Line B: [tex]b=0[/tex]

Line C: [tex]b=-1[/tex]

Line D: [tex]b=-4[/tex]

The only line with a y-intercept is Line A.

:Done

A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?

Answers

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

                 [tex]100-75=25[/tex]

Learn more about the Quartile here:

https://brainly.com/question/10005803

Multiply 1 4/5 * 1 ???

Answers

Answer:

9/5 or 1 4/5

Step-by-step explanation:

You’re welcome :)

Answer:

your answer will come to be 1.8

Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear

Answers

It is linear because when you graph the points on the graph, they create a straight line. (I included the picture of the graph) let me know if this answers your question :)

Answer:

linear

Step-by-step explanation:

m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.

equation of the function is y = - 4x + 14 ⇒ function is linear

A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee

Answers

Answer:

1.3245

Step-by-step explanation:

the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?

Answers

524/8=65.5

There were 65 cans in each box.

65•8= 520
524-520=4
There were 4 cans left over

Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.

Answers

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

Ariana drove her car 260 miles in 8 hours. Write this rate as a reduced fraction.

Answers

2/65 or 65/2 should be correct

a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?

Answers

Answer:

39

Step-by-step explanation:

Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).

Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).

How do I find y to solve for the vertex? (Transformations, Quadratic functions)
I know how to solve for the x but I'm confused on solving for the Y. Thank you!

Answers

Answer:

the other answer is zero.

Step-by-step explanation:

Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.

[tex]a=8\\\\h=21\\\\k=0[/tex]

2218388 of the 4031887

Answers

Answer:

Boi what?

Step-by-step explanation:

This is not a proper question. You need to include more information

Please help me ASAP. ! ​

Answers

Step-by-step explanation:

distance must positive

so, 25-12

=13

(100) POINTS NO JOKE!!!!Which ratios are equivalent to 7

3

? Check all that apply.


(A) 27:21

(B) 28 to 12

(C) 56/ 24

(D) 63 to 27

(E) 9/21

Answers

Answer:

B, C, D

Step-by-step explanation:

If simplified, 28:12 becomes 7:3, as 28 is evenly divisible by 7 and 12 is easily divisible by 3. This applies to 56:24 and 63:27 as well.

For example:

(28:12)/ 4 = 7:3

It’s C B and D, I just answered this one on my test! C:

4^4÷4^7 as a fraction

Answers

Answer: multiply it by the bisector of the photosynthesis.

obviously

Step-by-step explanation:

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