Find the value of x.

Find The Value Of X.

Answers

Answer 1

Given:

A figure of a circle and inscribed quadrilateral JKLM.

[tex]m\angle M=47^\circ,\angle K=(7x+21)^\circ[/tex]

To find:

The value of x.

Solution:

The inscribed quadrilateral JKLM in the circle I is a cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles.

Angle M and angle K are opposite angles of a cyclic quadrilateral, it means they are supplementary angles and their sum is 180 degrees.

[tex]m\angle M+m\angle K=180^\circ[/tex]

[tex]47^\circ+(7x+21)^\circ=180^\circ[/tex]

[tex](7x+68)^\circ=180^\circ[/tex]

[tex](7x+68)=180[/tex]

Isolate the variable x.

[tex]7x=180-68[/tex]

[tex]7x=112[/tex]

[tex]x=\dfrac{112}{7}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.


Related Questions

help <3 and ill give you a branist or wtv its called

Answers

Answer:

the one thats says add till its 180 degrees i believe

Step-by-step explanation:

Answer:

Determine if the diagonals are congruent

Step-by-step explanation:

I found a quizlet with that same question

hope this helps ^^

Please help me in this. ASAP!

Answers

Answer:

Thermal energy -- sand on beach feels warm to touch

Gravitational potential energy -- a piece of fruit hanging from a tree

Electric energy -- Lightning produced during a storm

Kinetic energy --  A box moving along a conveyer belt

Radiant energy -- Radio waves transmitted from a tower

Step-by-step explanation:

PLZ mark me as brainliest

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

A kind teacher gives you 20 cents for every question you get right, but you have to pay the
teacher 10 cents for every question you get wrong. After 30 questions you have made a
profit of $1.80.
a ) Form an equation with x representing the number of questions you got right.
b )Solve your equation to find how many questions you got right.

Answers

Answer:

Let n be the number of questions you got right. Then

30-n equals the number of questions you got wrong.

So:

A) 20n-10(30-n)=180

30n-300=180

30n=480

n=16

30-n=14

B)You got 16 questions right and 14 questions wrong.

A grocery store sells an 8 ounce bottle of juice for $1.76 what is the cost of the juice per ounce? Show your work

Answers

Answer:

22 cents

Step-by-step explanation:

8 ounces coat $1.76

So,

1 ounce costs $1.76 divided by 8 = $ 0.22 = 22cents

Hope this helps

If a grocery store sells an 8 ounce bottle of juice for $1.76. The cost of the juice per ounce is: $0.22.

Cost of juice per ounce

Using this formula

Cost of juice per ounce=Cost of juice/Ounce bottle of juice

Where:

Cost of juice=$1.76

Ounce bottle of juice=8 ounce

Let plug in the formula

Cost of juice per ounce=$1.76/8

Cost of juice per ounce=$0.22 per ounce

Inconclusion the cost of the juice per ounce is: $0.22.

Learn more about Cost of juice per ounce here:https://brainly.com/question/1564020

a rectangular garden has a perimeter of 100 meters. the length is four times it’s width. find the dimensions of the garden.

Answers

Answer:

Step-by-step explanation:

p = 100

l = 4w

l = 80

w = 20

80 = 20*4

Marking brainliest.

Answers

Answer:

B. 173.25 cm^2

Step-by-step explanation:

just multiply them all.

*PLEASE HELP*
The table to the right shows the results of a survey taken
of what students wanted to have as their first car.
The options were sedan (4-door car), truck, SUV, coupe (2-door car), or other.

What are the odds that a student chose either a truck or an SUV?

A). 35/112
B) 29/56
C) 23/112
D) 31/56

Answers

Answer:

So we have either a truck or a SUV

so we need the probability of both

35+23/Total

so 35/112

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise


Find the scale factor that was used

Answers

scale factor is 2
30/15 = 2
20/10 = 2
The scale factor is 1.5.

15/10=1.5

30/20=1.5

CNJ

2 15find the zeros of the quadratic polynomial and verify the relationship between the zeros and coefficients T square - 15 ​

Answers

Step-by-step explanation:

Here is your answer in the attachment.

Hope it helps :)

Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **

Answers

Answer:

VW = 31

WX = 19

YW = [tex]\sqrt{1322}[/tex]

ZX = ([tex]\sqrt{1322}[/tex]) / 2

VX = [tex]\sqrt{1322}[/tex]

Step-by-step explanation:

[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]

[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322

ZX = YW/2 = VX/2

 Measures of the different sides of the rectangle will be,

YX = 31 units

WX = 19 units

VW = 36.36 units

ZX = 18.18 units

VX = 36.36 units

Quadrilateral VWXY is a rectangle.

Properties of a rectangle,

Opposite sides of a rectangle are equal.Diagonals of a rectangle bisect each other.Diagonals are equal in measure.

YX = VW = 31 units

VY = WX = 19 units

By applying Pythagoras Theorem in right triangle ΔWXY,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(WY)² = (WX)² + (XY)²

YW = [tex]\sqrt{19^2+31^2}[/tex]

      = [tex]\sqrt{1322}[/tex]

      = 36.36 units

ZX = [tex]\frac{1}{2}(YW)[/tex]

     = [tex]\frac{1}{2}(36.36)[/tex]

     = 18.18 units

VX = YW = 36.36 units

Learn more,

https://brainly.com/question/9655204

What are the values of x and y, in the given figure?​

I'll give brailiest to the first response

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

1 - (-3) 2+ (-3) - 5

Answers

Answer:

1 - (-3) X 2 + (-3) - 5 = ?

To find your answer, first group the same number if there are any. In this situation, there are two -3.

You can take your calculator if you have one and input your information.

In the end, you should get -1 as your final answer.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Solve for the number problem 11

Answers

Answer:

1,000

Step-by-step explanation:

10x10x10 = 1,000

this lock has 1,000 possible combinations

Which expression is equivalent to 1 4 ( 3 x + 4 y ) + 3 ( 1 4 x + 2 3 y ) ? 3 2 x + 3 y 3 halves x plus 3 y 3 2 x + 2 y 3 halves x plus 2 y 3 4 x 2 + 3 y 3 fourths x squared plus 3 y 3 4 x 2 + 2 y

Answers

Answer:

3x/2 + 3y

Step-by-step explanation:

Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)

Open the parentheses

= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)

= 3/4 x + y + 3/4 x +2y

Collect like terms

3/4 x +3/4 x +y+2y

6/4 x + 3y

3x/2 + 3y

Hence the correct expression is 3x/2 + 3y

-x^2+6x-5=f(x)
find the vertex and x/y intercepts

Answers

x-intercept : (5,0) , (1,0)
y-intercepts : (0,-5)

Which of the following expressions represents the distance between −3.9 and −4.7?

NEED NOW

Answers

i hope this helps and yea i guess

What is log152 rewritten using the power property?

Answers

Answer: Power property:  That means the power m can be brought down to front of the logarithm.

Step-by-step explanation:

Logarithmic function, Log 152 can be written as Log 19 + 3 log2.

What is a logarithmic function?

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bˣ is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Given, A logarithmic function  log152

Simplifying the Function,

=> log152

=> log( 19 * 8)

From the additional property of the log,

=> log 19 + log 8

=> log 19 + log2³

From the power property of the logarithmic

=> log 19 + 3 log2

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

#SPJ7

Find the slope of the line through the points (4,5) and (-7,6)

Answers

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

help me pls. my teacher asks a question and we are doing ratio.
what is the smaller ratio, 32:24 or 30:22?
I do not understand how to find the smaller ratio, I have five pages of notes and she hasn't explained, am I supposed to simplify and add and see which total is smaller?

Answers

Answer:

32:24

Step-by-step explanation:

So ratios are like fractions

You can write 32:24 like [tex]\frac{32}{24}[/tex]

and 30:22 like [tex]\frac{30}{22}[/tex]

Like fractions you can simplify them, you want to get the denominator or the bottom numbers the same so you can compare the top number.

[tex]\frac{32}{24}[/tex]     [tex]\frac{30}{22}[/tex]     One way to make the denominator the same is to do 24x22=528

then do 32x22=704          then 30x24=720

Then that gives you [tex]\frac{704}{528} \frac{720}{528}[/tex]    Here you can see that 704 is smaller then 720

and since 704 is the same as 32:24

32:24 is the smaller ratio

Central and inscribed angle practice

Answers

Answer:

sorry

Step-by-step explanation:

I don't know what you want , do you want to know how to construct an inscribed angle or what

What is the Mode? 21,28.27.26.27.27.33.28.26.31​

Answers

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Given that ac=22 and bc=7, find ab

Answers

Answer:

I'll look into that answer

Which expression is equivalent to t + 4 + 3 - 2t

1. t+7
2. -t+7
3. 6t
4. 10t

Answers

Answer:

#2 -t + 7

Step-by-step explanation:

t -2t = -t

4+3 = 7

-t +7

what does x = ?
please please help

Answers

Question

what does x = ?

please please help

5x(2x+20)= 90

10x=90-20

10x=70

x=70/10

x=7

plz give brainliest +thanks

Answer:

10°

Step-by-step explanation:

5x + 2x + 20° = 90° { Being complementary angles }

7x = 90° - 20°

7x = 70°

x = 70° / 7

x = 10°

Hope it will help :)❤

HELP!!! ANYONE!! ASAP!!!

Answers

Answer:

A

Step-by-step explanation:

I'm not going to give an explanation but for next time, the stem is the tens place and the leaf is the ones place.

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log 3
B. log(2) + log
log(3)
C. log(3)
D. log 2

Answers

Answer:

c

Step-by-step explanation:

log2-log 6=log(2/6)=log (1/3)

log(2) + log(1/6)

log(1/3)

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9

Answers

Answer:

The mean is 4 if im correct.

Answer:

4

Step-by-step explanation:

-4+4+6+-7+7+10+7+9=32

32/8=4

A person places $123 in an investment account earning an annual rate of 2.8%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 2 years.

Answers

Answer:

V = 130.08

Step-by-step explanation:

To solve we will use the equation V= [tex]Pe^r^t[/tex]

V= what you are solving for

P= initial number ( 123)

R= rate (2.8%)

-we can convert the rate to a decimal by moving the decimal place 2 spaces to the left.

R= 0.028

T= time (2 years)

The equation should be... [tex]V=123e^(^0^.^0^2^8^*^2^)[/tex]

To solve we can first multiply 0.028 and 2

This is = 0.056

[tex]V=123e^0^.^0^5^6[/tex]

Then using a calculator we get...

V = 130.0845

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