Find the values of the variables in each figure.

Find The Values Of The Variables In Each Figure.

Answers

Answer 1

Answer:

x = 40

Step-by-step explanation:

2x = 4x - 40 (recall properties of a parallelogram)

Solve for x

2x - 4x = 4x - 40 - 4x (subtraction property of equality)

-2x = -40

-2x/-2 = -40/-2 (division property of equality)

x = 20


Related Questions

The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?

Answers

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

mentioned some good points about commerce subject in grade 12??​

Answers

Answer:

You can easily be employed in the future

you can be in any profession such as bank accountant,trader, manager at business etc

Step-by-step explanation:

hope you like it

Answer:

well I like

Step-by-step explanation:

to be honest their all i don't know how to explain but their all OK i guess

12 43 a а- 5 6 b + 8 7 Line a is parallel to line b, m 2 = 4x+44, and m 46 = 6x +36 . Find the value of x.​

Answers

Answer:

m=−57/92,x=−43/4

Step-by-step explanation:

For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form

Answers

Answer:

Step-by-step explanation:

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Find The Hypotenuse of A

Tan(A) = Opposite / Adjacent

Tan(A) = 15/8

Opposite = 15

Adjacent = 8

Hypotenuse = c

c^2 = opposite^2 + Adjacent^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c^2 = 289

sqrt(c^2) = sqrt(289)

c = 17

Find the opposite of B

Adjacent = 12

Hypotenuse = 37

Opposite = b

adjacent^2 + opposite^2 = hypotenuse^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1335

b = 35

Definitions

Sin(A) = Opposite / hypotenuse = 15/17

Sin(B) = opposite / hypotenuse =  35/37

Cos(A) = 8/17

Cos(B) = 12/37

Answer

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Cos(A + B) = 8/17 * 12/37 - 15/17*35/37

Cos(A + B) = 96/629 - 525/629

Cos(A + B) = -429/629

what is the value of x?

Answers

the answer is 35 I did a lot of work I can't show you here

By what percent will a fraction decrease if its numerator is decreased by 40% and its denominator is decreased by 25%?

Answers

Answer: 80%

Step-by-step explanation:

Hence, if the numerator is decreased by 40% and the denominator is decreased by 25%, the original fraction is decreased by 80 percent.

If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4

Answers

Answer:

option A

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 2x - 2

(f - g)(x) = f(x) - g(x)

           = (3x + 2) - (2x - 2)

           =3x + 2 - 2x + 2

           = x + 4

The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function are,

f(x) = 3x + 2 and g(x) = 2x - 2

Hence, The value of function (f - g)(x) is,

⇒ (f - g)(x) = (3x + 2) - (2x - 2)

⇒ (f - g)(x) = 3x + 2 - 2x + 2

⇒ (f - g)(x) = x + 4

Thus, The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Determine if 0.949449444944449444449 rational or irrational and give a reason for answer. ​

Answers

Answer:

irrational if it's more after this number but if it stops at the last 9 then it's a rational number

hope this helps

have a good day :)

Step-by-step explanation:

This is irrational if it's more after this number but,

If it stops at the last 9 then it's a rational number.

We have given that,

0.949449444944449444449.

What is the meaning of irrational numbers?

An irrational number, any real number that cannot be expressed as the quotient of two integers.

We have to determine rational or irrational.

irrational if it's more after this number but.

If it stops at the last 9 then it's a rational number.

To learn more about the numbers visit:

https://brainly.com/question/251701

What is the area of the following picture ( HELP PLEASE )

Answers

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet

Answers

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

Can someone please help?

Answers

Answer:

The last one: 25%

Step-by-step explanation:

Answer:

25% because 25 is 1/4 of 100

Step-by-step explanation:

Evaluate the following
6!

Answers

Answer:

Mind showing a picture?

Thank you!

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

Answers

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Find the volume of this solid figure. Use π = 3.14.

WITH SOLUTION PLEASE AND NO LINKS!​

Answers

Answer:

180

Step-by-step explanation:

volume= (6*5)/2*12 =180 in

Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.

Answers

Answer:

16,800 people

Step-by-step explanation:

105 * 250 = 26,250

p = 26250ft² * (16 people / 25ft²)

p = 16,800 people

Answer:

16800

Step-by-step explanation:

105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800

Hope this helps!

Wat is the average between 1,000, 2300,1000,2600

Answers

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2

I need the answer pls I will mark brainlist just answer this

Answers

Answer:

The first one is B and the second is C :)

Answer:

C. 12 and A.5

Step-by-step explanation:

The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to

6-1 = 5

help with this question

Answers

9514 1404 393

Answer:

  A = 49π/36 or 59π/36

Step-by-step explanation:

The given angle is coterminal with the same angle modulo 2π.

  (563/36)π = 14π +(59/36)π

so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:

  A = 3π -(59π/36) = 49π/36

The two values of A that satisfy the equation are ...

A = 59π/36A = 49π/36

_____

In degrees, the two angles are 245° and 295°.

Borrows 15,200 for 10 months at an annual rate of 4.55%. What is the interest owed after 10 months

Answers

the answer in the photo check it

Help pls this is 5th grade math

Answers

Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

A certain town has 25,000 families. The average number of children per family is 2.6, with an SD of 0.80. The distribution is not normal, however, since 20% of the families have no children at all. (a) If one draws a simple random sample of five families from the 25,000, what is the chance that exactly two of the five sample families will have no children

Answers

Answer:

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the families have no children at all.

This means that [tex]p = 0.2[/tex]

Five families:

This means that [tex]n = 5[/tex]

What is the chance that exactly two of the five sample families will have no children?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 through 4. A marble is drawn at random from the jar. Find the probability of the given event as a simplified fraction.

A. The marble is red
b. The marble is odd-numbered
c. The marble is red and odd-numbered

Answers

A Can you help me with these questions

the perimeter of a square is 75 cm what is the length of one side of the square​

Answers

Answer:

length of one side = 18.75cm

Step-by-step explanation:

Perimeter of a square = 4 x side

                             75 = 4 x side

[tex]side = \frac{75}{4} = 18.75cm[/tex]                            

chipo set out from a on a bearing of 130 to town b ,she then boardef a bus from town b another town c on a bearing of 030 directly east of a. calculate the bearing of town a from her new position​

Answers

Answer:

emm who exactly is chipo bcause i literally have no idea

PLEASE TELL ME THE VALUE

Answers

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

In a math class with 20 students, a test was given the same day that an assignment was due. There were 11 students who passed the test and 15 students who completed the assignment. There were 9 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?

Answers

Answer: 3/20 or .15

Step-by-step explanation:

An expression is shown. Which one of the expressions below is equivalent?

Answers

Answer:

C

Step-by-step explanation:

Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.

Answers

Answer:

Raden is correct

Step-by-step explanation:

A quadrilateral is any polygon that has four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.

A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.

Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.

A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is

Answers

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

GIVING OUT BRAINLIEST PLS HELP! ALMOST DUE

Answers

Answer:

I think it's option B

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