what is the value of x

What Is The Value Of X

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Sin(30) = LJ/8sqrt(3)

Sin 30 = ½

LJ = 4sqrt(2)

LM = JM = x

x² + x² = (4sqrt(2))²

2x² = 32

x² = 16

x = 4


Related Questions

Please help! Help would be appreciated! I am having a brain fart, or maybe I'm just dumb.

What are the factors of 49?

Idk if there is any, but idk.

Thanks!

Answers

Answer:

1,7,49

Step-by-step explanation:

Answer: 7 squared

Step-by-step explanation:

49 = 1 x 49 or 7 x 7.

Factors of 49: 1, 7, 49.

Prime factorization: 49 = 7 x 7

which can also be written 49 = 7².

5 Points
What is the equation of a circle with center (2, -3) and radius 3?
O A. (x-2)* - (y +3) - 9
O B. (x - 2)* +(y + 3) - 9
O C. (x - 2)2 +(y+3)? - 3
O D. (x + 2) + (y - 3) - 9​

Answers

Answer:

(x - 2)² + (y + 3)² = 9

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - (-3))² = 3²

(x - 2)² + (y + 3)² = 9

The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

The correct option is (B).

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

We are given the coordinates for the center of a circle and the measure of the radius of the circle. We have to find out the equation of the circle

The coordinates of the center of the circle (O) = (2, -3)

The radius of the circle = 3

The standard equation of the circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

By substituting (h, k) ⇒ (2, -3) and r = 3

(x - 2)^2 + (y + 3)^2 = 3^2

= (x - 2)^2 + (y + 3)^2 = 9

The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

Hence, The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

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Help plz ~_~
Which number can be added to the data so that the range of the data will be 55?
56, 81, 54, 47, 45, 94

Answers

Answer:

39 or 100

Step-by-step explanation:

45 47 54 56 81 94

Range is 94 - 45 = 49

Either add 100 or 39 to the set.

94+6 = 100

45-6 = 39

Figure the 7% sales tax on $2.19 bottle of window cleaning solution and a gel pen which costs $2.75.

PLZ HELP I WILL GIVE OUT TONS OF POINTS!

Answers

Answer:

sales tax on a bottle of window cleaning solution = $0.1533

sales tax on a gel pen=$0.1925

Step-by-step explanation:

The price of bottle of window cleaning solution = $2.19

Sales tax =7%

Applying the tax, 7/100 * 2.19 = $0.1533

The price of a gel pen = $2.75

Applying the sales tax;

7/100 * 2.75 = $0.1925

Final answer:

The 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen is around $0.35.

Explanation:

To calculate the 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen, you first need to find the total cost of the items. Add $2.19 and $2.75 which equals $4.94. This is your base amount on which you will calculate the sales tax.

To get the tax amount, multiply the total cost by the tax rate as a decimal (7% = 0.07). So, $4.94 * 0.07 = $0.35 approximately. This will be the sales tax charged on these items.

Therefore, if you buy a window cleaning solution and gel pen, you would pay around $0.35 in taxes assuming a 7% sales tax.

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When Justin goes to work, he drives at an average speed of 60 miles per hour. It takes about 1 hour and 30
minutes for Justin to get to work. His car travels about 25 miles per gallon of gas. If gas costs $3.65 per
gallon, how much money does Justin spend on gas to get to work?

Answers

Answer:

$13.14

Step-by-step explanation:

60 mi/1 hour = x mi/1.5 hours

x = 90 mi to drive to work

25 mi/1 gallon = 90 mi/y gallons

y = 3.6 gallons to get to work

$3.65/1 gallon = $z/3.6 gallons

z = $13.14

Justin spends $13.14 on gas to get to work.

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The average speed of Justin when he goes to work is 60 miles/hour.

The time taken to reach to work is 1 hour 30 minutes.

Justin's car travels 25 miles for 1 gallon of gas.

The cost for one gallon of gas is $3.65 per gallon.

The total miles travelled is 60 miles/ hour * 1 hour 30 minutes.

Total miles travelled = 60 * (1.5)

Total miles travelled = 90 miles

The gas used for 25 miles is 1 gallon

The gas used for 90 miles is 90/25 = 3.6 gallon.

The cost of gas is $3.65 per gallon

The cost of 3.6 gallon is 3.65 *3.65

The cost of the gas used to get to work is $13.14.

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Expreessions represent The sum of 3 and n

Answers

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

Answer:

Step-by-step explanation:

n+3

3+n

Find the surface area of number 2

Answers

Answer:

190 cm^2

Step-by-step explanation:

Base: 10 × 3 = 30 (×2 = 60)

Small faces: 5 × 3 = 15 (×2 = 30)

Larger faces: 5 × 10 = 50 (×2 = 100)

Add: 100 + 60 + 30 = 190

A box contains 8 red marbles, 9 blue marbles and 11 yellow marbles. What is the probability that a marble chosen randomly from the box is blue? Leave answer as a fraction

Answers

Answer:

nerd kjhvgcfxdgchvbjknlmStep-by-step explanation:1=22=1therefore 2=1-1 -11=0?See it doesn't work, therefore its wrong

Final answer:

The probability of drawing a blue marble from a box containing 8 red, 9 blue, and 11 yellow marbles is calculated by dividing the number of blue marbles (9) by the total number of marbles (28), resulting in a probability of 9/28.

Explanation:

The question asks for the probability that a marble chosen randomly from a box is blue, given that the box contains 8 red marbles, 9 blue marbles, and 11 yellow marbles. To find this probability, you divide the number of blue marbles by the total number of marbles. Here's the calculation:

Total number of marbles = 8 red + 9 blue + 11 yellow = 28 marbles.Number of blue marbles = 9.Probability of drawing a blue marble = Number of blue marbles / Total number of marbles = 9 / 28.

Therefore, the probability of drawing a blue marble from the box is 9/28.

ted popped a baseball straight up with an initial velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is modeled by the function h(t)=-16t2 +48t+3. How long was the ball in the air if the catcher the ball 3 feet above the ground?

Answers

Answer:

3 seconds

Step-by-step explanation:

We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3

Now, they tell us that the height is 3 feet, therefore replacing that value we have left:

3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:

-16 * t ^ 2 + 48 * t = 0

Removing common factor -16 * t, it would be:

(-16 * t) * (t - 3) = 0

We have two solutions:

-16 * t = 0 ---> t = 0

 t - 3 = 0 ---> t = 3

Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.

Final answer:

The ball was in the air for 3 seconds.

Explanation:

To find how long the ball was in the air when the catcher caught it 3 feet above the ground, we need to solve for t in the equation -16t^2 + 48t + 3 = 3. Simplifying the equation, we get -16t^2 + 48t = 0. Factoring out 16t, we have 16t(-t + 3) = 0. Setting each factor equal to zero, we find two solutions: t = 0 and t = 3 seconds. Since we are only interested in the time the ball was in the air, we discard the solution t = 0 and conclude that the ball was in the air for 3 seconds.

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Karen earns $62.25 for working 9 hours. if the amount she earns varies with the number of hours she works how much will she earn for working 15 hours? round to the nearest hundredth

Answers

Answer:

$103.75

Step-by-step explanation:

we know that

Karen earns $62.25 for working 9 hour

so

using proportion

Find out  how much she will  earn for working 15 hours

[tex]\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75[/tex]

Please simplify: (-2b^3)^4-3(-2b^4)^3

Answers

16b^12-3(-8b^12)=16b^12-(-24b^12)=40b^12

anyone got the answer Simplify 2x + x.

Answers

The Simplification of the expression of 2x + x  can be written as 3x

What is Simplification of expression ?

A mathematical expression is simplified when it is expressed in the simplest way possible. The expression is usually reduced to its simplest form by using fundamental features of numbers, exponents, algebraic principles, etc. to eliminate any repetitions or redundancies.

Given that 2x + x

Then we can factorize as

x(2+1)

=(x*3)

=3x

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There are 350 calories in 1 1/2 cups of spaghetti. Two cups of spaghetti have

Answers

Answer: 466.67 calories in 2 cups of spaghetti

Step-by-step explanation: if there are 350 calories in 1 1/2 cups of spaghetti you only need have a cup to make 2 cups then 1/3 of 350 calories is 116.67

so 350 + 116.67= 466.67

please give brainliest

Final answer:

This question pertains to Health in Middle School.

Explanation:

The subject of this question is Health and the grade level is Middle School.

Find the volume of a rectangular prism that has base 6 inches long and 9 inches wide. The height
of the prism is 4 inches.

Answers

Answer:

The answer is 216 I got It wrong at first but the other answer has it right so I changed mine so no one gets confused.

Step-by-step explanation:

Answer:

216 inches is the volume

Step-by-step explanation:

multiply length times width times height

True or False: Order of Operation says to simpliy within parenteheses

Answers

true because PEMDAS means parentheses, exponent, multiply, divide, add, subtract

Answer:

True.

Step-by-step explanation:

It says to work out what is in parentheses first, (PEMDAS).

For example:

2(5 - 3) - 1    

5 - 3 = 2 so we have:

2 * 2 - 1

= 4 - 1

= 3.

5(9 + p) = 125 find a

Answers

do you mean find “a” or find “p” ?

Answer: p = 16

Step-by-step explanation: 125 divided by 5 is 25

then subtract 25 by 9 to get 16 so p = 16

hope this helps please mark brainliest

What type of number is 4π
?

A
Irrational number
B
Rational number
C
Integer
D
Whole number. PLEASE PLEASE HELP ME

Answers

Answer: irrational number

Step-by-step explanation:

Final answer:

4π is an irrational number.

Explanation:

The number 4π is an irrational number. An irrational number is a number that cannot be expressed as a fraction. In this case, 4π is the product of the rational number 4 and the irrational number π. Since π is an irrational number, their product, 4π, is also an irrational number.

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Which equation is equivalent y= 3x^2-15x+18

Answers

Answer:

Two solutions were found :

x = 6

x = -1

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (3x2 -  15x) -  18  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x2 - 15x - 18  =   3 • (x2 - 5x - 6)  

Trying to factor by splitting the middle term

3.2     Factoring  x2 - 5x - 6  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

     -6    +    1    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  1  

                    x2 - 6x + 1x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-6)

            Which is the desired factorization

Equation at the end of step  3  :

 3 • (x + 1) • (x - 6)  = 0

In Conclusion, the answer would be 0.

I need a bit of help. Evaluate the expression: -11²

Answers

Answer:

-121

Step-by-step explanation:

-11² = -1 × 11² = -1 × 121 = -121

Answer:

If the negative is included in the square, that makes the number positive.

(-11)^2 = 121

If the negative is not included in the square, that makes the number negative.

-(11^2) = -121

What are the end behaviors of f(x) = -2(x - 2)5?
O
A. Both ends go down.
O
B. The left end goes down; the right end goes up.
O'C. Both ends go up.
O
D. The left end goes up; the right end goes down.

Answers

Answer:

Step-by-step explanation:

D.The left end goes up and the right end goes down because this is a first order function

Final answer:

The end behavior of the function f(x) = -2(x - 2)^5 is that the left end goes up and the right end goes down. This is determined by the odd degree and negative leading coefficient of the function.

Explanation:

The end behaviors of a function can be determined by looking at the highest degree term, also known as the leading term. In this case, for the function f(x) = -2(x - 2)^5, the highest degree is odd (5), and the coefficient, -2, is negative.

Odd degree with a negative leading coefficient means that the end behaviors of this function will be: as x approaches negative infinity (moves left), the function values will go toward positive infinity (up), and as x approaches positive infinity (moves right), the function values will go toward negative infinity (down).

So the correct option here is: D. The left end goes up; the right end goes down.

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I’m stuck... does anyone know the answer?

Answers

2cm=6ft.

Length=6cm=3×(2cm)=>3×6=18ft

Width=4cm=2×(2cm)=>2×6=12ft.

Answer: 3rd option, length=18ft, width=12ft

After being rearranged and simplified, which two of the following equations
could be solved using the quadratic formula?
A. 5x + 2x - 4 = 2x2
B. x2 - 6x - 7 = 2x
C. 5x2 – 3x+ 10 = 2x2
D. 2x2 – 3x+ 10 = 2x2 + 21

Answers

Answer:

A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Step-by-step explanation:

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

Answer: A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Step-by-step explanation:

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left-hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left-hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left-hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

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The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 150015001500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.

Answers

Answer:

This is khan answear

Assign a number to each student, and use a computer program to generate 150150150 random numbers between 111 and 150015001500. Ask those students whose numbers are selected.

Step-by-step explanation:

Answer:

Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 150. Ask those students whose numbers are selected.

Step-by-step explanation:

Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire dessert. Each of them has a different recipe for their perfect s’mores
Nick likes to use 12 of Chocolate bar to make a s’more. Tasha will only eat a s’more that’s is made 25 of a chocolate bar. What fraction of chocolate will nick and Tasha use in total if they each eat one s’more?

Answers

Answer:

9/10

Step-by-step explanation:

first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10

what’s the mean of 14,9,20,5,17,13

Answers

Answer:

13

Step-by-step explanation:

14+9+20+5+17+13 = 78

78/6= 13

To find the mean you always add all the data and then divide it by the amount of data.

The answer would be 13

Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***

Answers

Exterior Angle Property

Step-by-step explanation:

Interior Angle :

The angle formed with in the closed boundary of the triangle is called an interior angle.

In the given figure,  α ,  β and γ are interior angles.

Exterior Angles:

The angle formed outside the closed boundary of the triangle is called an exterior angle.

In the given figure,  γ' is an exterior angles.

Sum of the measures of the two non-adjacent interior angles  is EQUAL to  measure of an exterior angle of a triangle.

⇒   α +    β   = γ'

This property is known as " Exterior Angle Property"

Also, here angles  γ and γ' are making a linear pair.

γ +     γ'  =  180°

A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards
numbered 2 through 10, a jack, a queen, a king, and an ace.
Zhi Qing decides to pick one card at random from a standard deck of 52 cards. Let A be the event that she
chooses a three card and B be the event that she chooses a seven card.
What is P(A or B), the probability that the card Zhi Qing chooses is either a three or a seven?

Answers

Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

In probability,

"OR" means "addition"

"AND" means "multiplication"

We want probability of A "OR" B, that means we find each individual probability and "ADD" them.

P(A) means P(choosing a 3 card):

There are 4 three-cards, 1 from each suit, and a total of 52 cards, so

P(A) = 4/52 = 1/13

P(B) means P(choosing a 7 card):

There are 4 seven-cards, 1 from each suit, and a total of 52 cards, so

P(B) = 4/52 = 1/13

Now,

P(A or B) = P(A) + P(B) = 1/13 + 1/13 = 2/13

The answer is  [tex]\frac{2}{13}[/tex]

Answer: 2/13

Step-by-step explanation:

HELP ME PLEASE I BEG YOU

Answers

Answer:

∠ K = 35° and ∠ L = 105°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let ∠ K = x then ∠ L = 3x

Sum the angles and equate to 180

3x + x + 40 = 180, that is

4x + 40 = 180 ( subtract 40 from both sides )

4x = 140 ( divide both sides by 4 )

x = 35

Thus

∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°

30% of the tickets sold at the Sweet Tarrant School carnival were early-admission tickets. If the school sold 200 tickets in all, how many early-admission tickets did it sell?

Answers

Answer: they sold 60 admission tickets
the answer to 30% of 200 is 60

Quadrilateral ABCD is inscribed in this circle.
What is the measure of ZA?
Enter your answer in the box.

Answers

Given:

ABCD is a cyclic quadrilateral.

m∠C = 43°

To find:

The measure of ∠A.

Solution:

In cylic quadrilateral, opposite angles are supplementary.

⇒ m∠A + m∠C = 180°

⇒ m∠A + 43° = 180°

Subtract 43° from both sides.

⇒ m∠A + 43° - 43° = 180° - 43°

m∠A = 137°

The measure of ∠A is 137°.

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