Figure abcd is a kite. Find the value of x. ​

Figure Abcd Is A Kite. Find The Value Of X.

Answers

Answer 1

Answer:

x = 30

Step-by-step explanation:

(x+20) + (x+10) +90 = 180

(2x+30) + 90 = 180

2x+120 = 180

2x = 60

x = 30

Answer 2

The value of x will be 30.

What is a rhombus?

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

Form the Figure abcd is a kite. we need to Find the value of x. ​

Therefore,

The sum of angle property;

(x+20) + (x+10) +90 = 180

(2x+30) + 90 = 180

2x+120 = 180

2x = 60

x = 30

Hence, the value of x will be 30.

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Related Questions

What is the answer to 6(-3-4y) simplifying algebriac expressions

Answers

Answer:

-18 - 24y.

Step-by-step explanation:

6(-3-4y)

We use the distributive law to give:

6 * -3 + 6* -4y

= -18 - 24y.

Please put these from greatest to least.

Answers

876.405, 887.053, 887.208

887.208

887.053

876.405

Hope this helps

What is 79/100 as a decimal

Answers

Hey!

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Solution:

Divide to get the decimal.

79 / 100 = 0.79

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Answer:

0.79

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Hope This Helped! Good Luck!

Answer: 0.79

Step-by-step explanation:

divide to get the decimal.

remeber, if n is two digits, n/100 = 0.n

happy paws charges $19.00 plus $1.50 per hour to keep

Answers

20.5 hope this helped !

When deriving the quadratic formula by completing the square what expression can be added to both sides of the equation to create a perfect square trinomial x^+b/ax+_=-c/a+_

Answers

To convert the quadratic polynomial into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation. [tex]\dfrac{b^2}{4a^2}[/tex] can be added to both sides of the equation.

The given equation is  [tex]x^2+\dfrac{b}{a}x+?=\dfrac{-c}{a}+?[/tex]

Now,

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore,

[tex]x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=\dfrac{-c}{a}+\dfrac{b^2}{4a^2}[/tex]

Thus, [tex]\dfrac{b^2}{4a^2}[/tex] should be added to both sides of the equation to convert the above equation into the quadratic polynomial.

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Answer:

d

Step-by-step explanation:

edge


Part 1: Assume that a bacteria population triples every hour. Which of the following three tables of data, with
x representing time in hours and y the count of bacteria, could represent the bacteria population? Circle the
letter of your choice.

Answers

Answer:

Table C

If the bacteria population triples every hour, it must multiply by three each time.

Table C fits this pattern

y | 1 | 3 | 9 | 27 | 81 | 243 | 729

1×3=3, 3×3=9, 9×3=27 etc.

The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line

Answers

Answer:

C. y - 10 = 2(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful and recall that your rate of change [slope] is POSITIVE, according to what you see on the graph.

I am joyous to assist you anytime.

SV perpendicular RT RSU=(17x-3) and UST=(6x-1) find each measure

Answers

Answer:

Part 1) x=8

Part 2)  m∠RSU=133°

Part 3) m∠UST=47°

Part 4) m∠WSV=43°

Part 5) m∠VSU=137°

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1) Find the value of x

we know that

m∠RSU and m∠UST are supplementary angles (by linear pair)

so

m∠RSU+m∠UST=180°

we have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

substitute the given values and solve for x

[tex](17x-3)\°+(6x-1)\°=180\°[/tex]

[tex](23x-4)=180[/tex]

[tex]23x=180+4[/tex]

[tex]23x=184[/tex]

[tex]x=8[/tex]

Part 2) Find the measure of m∠RSU

we have

m∠RSU=(17x-3)°

substitute the value of x

m∠RSU=17(8)-3=133°

Part 3) Find the measure of m∠UST

we have

m∠UST=(6x-1)°

substitute the value of x

m∠UST=6(8)-1=47°

Part 4) Find the measure of m∠WSV

we know that

m∠UST=m∠RSW -----> by vertical angles

so

m∠RSW=47°

m∠RSW+m∠WSV=90° ----> given problem (SV perpendicular RT)

substitute the value of m∠RSW and solve for m∠WSV

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part 5) Find the measure of m∠VSU

we know that

m∠VSU=m∠VST+m∠UST

we have

m∠VST=90° ----> given problem (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

Which two whole numbers lies between the square root of 10

Answers

3 > √10 > 4

the answer would be 3 & 4

Answer: 3 & 4

Step-by-step explanation:

2n +7 is greater than or equal to 27 or 3+3n is less than or equal to 30. What is n?

Answers

this is written as

[tex]2n + 7 \geqslant 27[/tex]

change the greater than or equal to sign to equal to in order to solve it

thus

[tex]2n + 7 = 27[/tex]

[tex]2n = 27 - 7[/tex]

[tex]2n = 20[/tex]

dividing through by 2

[tex] \frac{2n}{2} = \frac{20}{2} [/tex]

[tex]n = 10[/tex]

{[tex]{n:n \geqslant 10}[/tex]}

If the points (4,2) (6,3) and (8,4) are on the graph of f, give three points on the graph of f^-1

Answers

let's recall that an inverse function has the same pair of coordinates as the original function, but backwards, or namely the inverse's range is the original's domain.

[tex]\bf \stackrel{f(x)}{\begin{array}{|cc|ll} \cline{1-2} 4&2\\ 6&3\\ 8&4\\ \cline{1-2} \end{array}}\qquad \qquad \stackrel{f^{-1}(x)}{\begin{array}{|cc|ll} \cline{1-2} 2&4\\ 3&6\\ 4&8\\ \cline{1-2} \end{array}}[/tex]

There are 302 languages spoken in China. Of those, 276 are indigenous. What percent of the languages spoken in China are indigenous?

Answers

Indigenous languages spoken in Chine is 91.39 percent.

Answer:

91.39%.

Step-by-step explanation:

That is 276 * 100 / 302

= 91.39%.

what is 1.407 rounded to the nearest whole number explain your thinking on a number line​

Answers

Answer:

1

Step-by-step explanation:

4 is less than 5, so you round to 1 and not 2

which model represents the factors of x^2 + 9x+8?​

Answers

Answer:

Step-by-step explanation:

x² + 9x+8 = (x+1)(x+8)

X is greater than or equal to -2

Answers

[tex]X \geq -2[/tex]

The fastest male marathon running time is 2 hours 2 minutes 57 seconds of a marathon is 26.2 miles how long in minutes and seconds would it take the same man to run 1 mile??

Answers

Answer:

B

Step-by-step explanation:

simply by dividing time and miles by number 2 until 6 miles comes to 1 mile

José sets up computers. He has been working
on a job today for about six hours. He told his
boss the job was about 75% complete.

Answers

Correct answer should be= 1.5 hours.

José needs approximately 2 more hours to complete his job.

We should calculate the total time required for 100% completion and then subtract the time he has already worked.

José has completed 75% of the job in 6 hours.To find the total time for 100%, we use the proportion: 6 hours / 0.75 = 8 hours.Therefore, the total time required to complete the job is 8 hours.José needs 8 hours - 6 hours = 2 more hours to finish the job.

He needs approximately 2 more hours to complete the job.

Complete Question:

Jose sets up computers. He has been working on the job today for 6 hours. He told his boss the job was about 75% complete. Approximately how many more hours does he need to complete the job.

Inputs would include
a. sales receipts.
b. none of the above
c. an income statement.
d. a balance sheet.

Answers

Answer:

none of the above i think

Step-by-step explanation:

How do you solve-
10=4x

Answers

Answer:

x = 2 1/2

Step-by-step explanation:

Answer:6x

Step-by-step explanation: divide x on both sides you’ll get 10x subtract 4 both sides you’ll get 6x

The sum of two consecutive natural numbers is 475 find the numbers. Find the numbers

Answers

Step-by-step explanation:

Need to FinD :

We have to find the numbers.

[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]

We know that,

The sum of the two consecutive natural numbers is 475 and we're asked to find out the numbers. So, let the two consecutive natural numbers be x and x + 1.

Therefore,

[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]

∴ Hence, the first number is 237. Now, let us find out the second number.

[tex]\rule{200}{3}[/tex]

Second NumbeR :

x + 1237 + 1238

∴ Hence, the second number is 238.

The two consecutive numbers whose sum is 475 are 237 and 238.

Let assume the two consecutive natural numbers as x and x+1.

According to the given information,

the sum of the two consecutive numbers is 475.

So, the equation can be set up as:

x + (x+1) = 475

Combining like terms, we get:

2x + 1 = 475

Subtracting 1 from both sides, we have:

2x + 1 - 1  = 475 - 1

2x = 474

Dividing both sides by 2, we find:

x = 237

Thus, the two consecutive numbers are 237 and 238.

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For what values of x is x2-36=5x true?

-9 and -4
-4 and 9
4 and -9
9 and 4

Answers

Answer: SECOND OPTION

Step-by-step explanation:

Given the following equation:

[tex]x^2-36=5x[/tex]

You can follow these steps in order to find the values of "x" that makes the equation true:

1. Subtract [tex]5x[/tex] from both sides of the equation:

[tex]x^2-36-5x=5x-5x\\\\x^2-5x-36=0[/tex]

2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:

[tex](x+4)(x-9)=0[/tex]

Then you get:

[tex]x_1=-4\\\\x_2=9[/tex]

Checking:

[tex](-4)^2-36=5(-4)\\\\-20=-20[/tex]

TRUE

[tex](9)^2-36=5(9)\\\\45=45[/tex]

TRUE

Answer:

Its B. -4 and 9

Step-by-step explanation:

Just took it and got 100%

a circuit is supplied with 30 volts and the total circuit resistance is 3 ohms what the current through the circuit flowing

Answers

Answer:

10 amps

Step-by-step explanation:

Ohm's law states

I = [tex]\frac{V}{R}[/tex]

I is the current, V the voltage and R the resistance, thus

I = [tex]\frac{30}{3}[/tex] = 10

3. Ellen has 3 times as many CD's as Sammy. Together they have 32 CD's. How many does
each person have?

Answers

Answer:

8

Step-by-step explanation:

sammy has 8 and ellen has 24 then add sammy's 8

24+8=32

Final answer:

By setting up a system of equations, we find that Sammy has 8 CD's and Ellen has 24 CD's.

Explanation:

The student's question involves solving a system of equations to determine how many CD's each person has.

Let's define Ellen's number of CD's as E, and Sammy's number of CD's as S.

According to the question, Ellen has 3 times as many CD's as Sammy, so we can write this as

E = 3S.

We also know that together they have 32 CD's, which can be written as

E + S = 32.

By substituting the first equation into the second, we get

3S + S = 32

4S = 32.

Dividing both sides by 4 gives us

S = 8.

Therefore, Sammy has 8 CD's.

To find out how many CD's Ellen has, we substitute S back into the first equation:

E = 3 * 8

E = 24.

So Ellen has 24 CD's.

-8(2r - 8)+ 6 = -3(r + 7)

Answers

Answer:

r = 7

Step-by-step explanation:

Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.

Afterwards, combine like terms by adding 64 and 6.

Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.

Next subtract 70 from both sides

Divide -13 by both sides

You should get the answer of r=7

Henry uses 3/8 cup of sugar for 2/7 batch of hus brownies. How much sugar is needed for a full batch of brownies​

Answers

Answer: [tex]\frac{21}{16}\ cups\ of\ sugar\approx1.3\ cups\ of\ sugar[/tex]

Step-by-step explanation:

Let be "x" the cups of sugar needed for a full batch of brownies.

You need to analize the information provided in the exercise.

Since Henry uses [tex]\frac{3}{8}[/tex] cups of sugar for [tex]\frac{2}{7}[/tex] batch of brownies, you can write the following proportion:

[tex]\frac{\frac{3}{8}}{\frac{2}{7}}=\frac{x}{1}[/tex]

Finally, you must solve for "x".

Therefore, you get the following result:

[tex]x=\frac{21}{16}\ cups\approx1.3\ cups[/tex]

Sandra plays a matching game. In order to advance to the next level, she must score at least 10 points.she scores 18 points for correct matches and -6 points for incorrect matches. Did Sandra make it to the next level

Answers

Yes she scored 12 total
Final answer:

Sandra made it to the next level in the matching game.

Explanation:Sandra's Matching Game

Sandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.

18 - 6 = 12 points

Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.

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Bill and Colin are cousins. Right now Bill is 21 years older than Colin. In 13 years
Bill's age will be twice Colin's age. How old is Colin right now? How old is Bill?

Answers

Final answer:

The solution to this problem requires us to set up an algebraic equation representing the given condition. After solving that equation, we discover that currently Colin is 8 years old and Bill is 29 years old.

Explanation:

This is a simple algebra problem dealing with ages and years. Let's define Colin's current age as 'x'. Consequently, Bill's age will be 'x + 21'. In 13 years, Colin will be 'x + 13' years old and Bill will be 'x + 21 + 13' years old.

According to the statement given, in 13 years: 'Bill's age will be twice Colin's age', this can be translated into the equation: 2*(x + 13) = x + 21 + 13. Solving this equation, we first multiply out the left side of the equation: 2x + 26 = x + 34. We can then subtract 'x' from both sides of the equation to get: x = 8.

This means that today, Colin is 8 years old. To find Bill's age, we add 21 to Colin's age, meaning Bill is 29 years old.

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Please answer this thank you.

Answers

11: 4,874 > 4,784 > 4,687

12: 8.09 > 8.057 > 8.023

13: 15.820 > 15.280 > 15.000

14: 43,628 > 40,628 > 34,628

15: 395.050 > 395.009 > 395.005

If n stands for the unknown number, which expression represents the phrase below? the sum of a number and three, divided by seven Group of answer choices (n + 3) / 7 n + 7/3 7/n + 3 7 / (n + 3)

Answers

Answer:

(n+3)/7

Step-by-step explanation:

Let

n -----> the unknown number

we know that

The algebraic expression of the phrase " the sum of a number and three" is equal to

(n+3) -----> number n plus number 3

so

The algebraic expression of the phrase " the sum of a number and three divided by seven" is equal to

(n+3)/7 ----> divide (n+3) by the number 7

therefore

The expression is

(n+3)/7

Evaluate the numerical expression. − 1 2 − (− 3 4 )

Answers

Answer:

-12 + 34= 22 is the solution

The answer is -12+34=22
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