Determine the value of x.

Determine The Value Of X.

Answers

Answer 1

Answer:

The value of x is 14.75(2)

Step-by-step explanation:

If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

x = 14.75


Related Questions

If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?

Answers

9514 1404 393

Answer:

  3rd quadrant

Step-by-step explanation:

The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...

  A'(-8, 2·2 -5) = A'(-8, -1)

Then, translation down and to the left will move it further into the 3rd quadrant, to ...

  A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point

To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units

Answers

I think it might be 27 no sure

Answer:

D(34)

Step-by-step explanation:

i did the math

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.

i need help this too help me and thank you and thank you

Answers

A is (-1,0) B is (0,-3) C is line of symmetry D is (3,0) E is (2,-3) F is (1, -4)

a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$

Answers

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?

Answers

Answer:

The one on the graph

Step-by-step explanation:

4.5m is__% of 90cm. And 90cm is ___% of 4.5m.

Pls help me! This is really hard.

Answers

You got this. Just a proportional issue once units of cm and m is converted.

1 meter is 100 centimeters (deci is 10, centi is 100, milli is 1000)

4.5 meter = 4.5 x 100 or 450 centimeters

(450/90)x100= 500%. 4.5 meters is 5 times longer than 90 cm
Cross check: 5x90=450

(90/450)x100= 20%
Cross check: .2x450=90

This has been answered before on Brainly

4.5m is 500% of 90cm

90cm is 20% of 4.5m.

Is this congruent or not congruent? And is this
SSS
SAS
SSA
AAS
ASA
HL
PLEASE HELP, I will brainliest u

Answers

It's congruent by AAS

Answer: Answer is SSS ok

Solve the inequality |3t+1| > 8.

Answers

Solve the inequality |3t+1| > 8.

ANSWER

[tex]t < - 3 \:[/tex]

or

[tex]t > \frac{7}{3} [/tex]

For what value of x must ABCD be a parallelogram?

Answers

Answer:

yes it could be

Step-by-step explanation:

Answer:

5x = 6x-7 subtract 6x from each side-x=-7x=7

True or False To find the circumference of a circle you multiply the diameter by pi

Answers

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

Which expression is equivalent to -8(10x-3)
(SHOW WORK)

Answers

Answer:

240

Step-by-step explanation:

-8(10×-3)

(10×3)=30

30×-8=240

A triangle has an angle that measures 68°. Which of these can be the measures of the other two angles?

Answers

Answer:

56 degrees

Step-by-step explanation:

180-68=112

112/2=56

hope i could help!

Answer:

112

Step-by-step explanation:

The sum of the other two angles is 112 degrees (180-68 = 112).

But the question is, what triangle is it?

Two other angles could be:

1) 90 and 22 degrees;

2) two equal angles of 56 degrees

3) any that would satisfy the condition in the amount of 112 degrees.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.

Answers

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~

Answers

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

how i solve this one​

Answers

Answer:

Look at explanation

Step-by-step explanation:

3x - y = 14

-3         -3

x=11

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

5x + 4y = 12

9xy=12

-9     -9

xy=3

x=1.5 y=1.5

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

total= 14

Sorry if wrong btw

this answer is an answer because u want an answer so i’m giving you an answer

Simplify: - 7a + 8 + 5a

Answers

Answer:

it is -2a+8 your welcome

-2a + 8

Hope this helps ^W^

If the simple interest on ​$2000 for 10 years is ​$​,1000 then what is the interest​ rate?

Answers

[tex] \bf \underline{Given :}[/tex]

[tex] \sf{• \: Principal \: (P) = \$ \: 2000}

[/tex]

[tex] \sf{• \: Simple \: Interest \: (I) = \$ \: 1000}

[/tex]

[tex] \sf{• \: Time \: (T) = 10 \: years}[/tex]

[tex] \sf{• \: Interest \: Rate \: (R) = \: ?}[/tex]

[tex] \bf \underline{Solution:-}[/tex]

[tex] \sf {We \: know \: that, }[/tex]

[tex]\bf \red{\bigstar{ \: I = PRT}}[/tex]

[tex] \sf{⟹1000 = 2000 \times \frac{R}{100} \times 10 }[/tex]

[tex] \sf{⟹1000 = \frac{R}{100} \times 20000}[/tex]

[tex] \sf{⟹ \frac{R}{100} = \frac{1000}{20000} }[/tex]

[tex] \sf{⟹R = \frac{1}{20} \times 100 }[/tex]

[tex] \sf⟹ R = 5[/tex]

[tex] \pink{\bf{Hence, \: the \: interest \: rate \: is \: 5 \: \%. }}[/tex]

Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount? ​

Answers

Answer:

$332.00

Step-by-step explanation:

which is a prime number 18 15 19 or 22

Answers

Answer:

19

Step-by-step explanation:

the only way u can get 19 is if you multiply 19x1 but other than that you cant get the number

the other numbers have more than one multiple but 19 only has one multiple

Answer:

19

Step-by-step explanation:

the only factors multiplyed that can make 19 is 1 and 19

15:1, 3, 5, 15

18:1, 2, 3, 6, 9, 18

22:1, 2, 11, 22

19:1, 19

take care

Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)

PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test

Answers

Answer:

The answer would be 6

A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.

Answers

Answer:

20%

Step-by-step explanation:

Original price = $65

Current price = $52

Discount = $65 - $52

Discount = $13

The percentage discount is calculated as:

Discount/Original price × 100

= $13/$65 × 100

= 20%

The percentage discount for the cost of the book is 20%

Pls help and show workings due asap

Answers

Step-by-step explanation:

l^2=15^2+6^2

l^2=225+36

l^2=261

l=√261

I WILL GIVE YOU BRAINLIEST JUST PLEASE HELP ME WITH THIS PROBLEM

Answers

Answer:

answer

Step-by-step explanation:

yes!

.............

Answer:

yes

if it's helpful ❤❤❤

THANK YOU

I need help asap pls

Answers

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

30 points! See pic attached. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

i think it a c e i hope this helps :^

answer: D,B,C

Step-by-step explanation:

line A is perpendicular to B and line A and B is parallel to line C

pls help me with this question i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

i believe it’s the second and third one, not too sure about the first

Step-by-step explanation:

Can anyone help mee!!!

Answers

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer: 30 degrees
Explanation: all of the angles added together in a triangle is equivalent to 180 degrees
180-130-20=30

How many neutrons does Chlorine-38 have if the isotope has a mass is 38?

Answers

Answer:

The answer is either 21 or 22

Step-by-step explanation:

good luck! have a great day! :)

a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation

Answers

Answer:

Step-by-step explanation:

the student buys a total of 8 magazines for $14.00

x+y = 8

x = 8-y

2x+1.6y = 14

2(8-y)+1.6y = 14

16-2y+1.6y = 14

16-0.4y = 14

0.4y =16-14 = 2

y = 2/0.4 = 5

x = 8-y = 3

The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A student buys (x) fashion magazines and (y) sports magazines.

And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.

Here, The student buys a total of 8 magazines for $14.00.

Hence, We can formulate;

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Thus, The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

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