which statement can you use to conclude that quadrilateral xyzw is a parallelogram

Amount of money present in Juan's account when she is 18 years old is $2,284.73

When Juan is 12 years old ;

Given P = principal = $ 2000

r = interest rate = 2.3 %

t = number of periods = 2

To start, multiplying R percent by 100 gives us 2.3%/100, or 0.023 each year.

Simply converting time into years, 2 months divided by 12 months each year equals 0.166667 years.

How to resolve our equation

A = 2000(1 + (0.023 × 0.166667)) = 2007.666682

A = $2,007.67

Simple interest on a principal of $2,000.00 at a rate of 2.3% annually for 0.166667 years (2 months)

Juan when she is 18 years old

time = 18 - 12 = 6 years

rate = 2.3 %

Principal = $2,007.67

Accrued money = A = $2,284.73

To know more about simple interest you may visit :

https://brainly.com/question/25845758

#SPJ1

we know that [tex]r[/tex]

area of the circle is equal to

A=  [tex]\pi[/tex] × [tex]r^{2}[/tex]

solve for [tex]r[/tex]

[tex]r[/tex] = [tex]\sqrt{\frac{A}{\pi } }[/tex]

for A=60cm2

[tex]r[/tex] = [tex]\sqrt{\frac{60}{\pi } cm}[/tex]

we know that

[tex]\sqrt{60\\}[/tex] = [tex]\sqrt{2^{4} }[/tex] × 3 × 5

=2[tex]\sqrt{15}[/tex]

so,

[tex]\sqrt{\frac{60}{\pi } }[/tex] = 2 [tex]\sqrt{\frac{15}{\pi } }[/tex]

2[tex]\sqrt{\frac{15}{\pi } } = 2\frac{\sqrt{15} }{\pi }[/tex]  × [tex]\frac{\sqrt{\pi } }{\sqrt{\pi } }[/tex]

= 2 [tex]\frac{\sqrt{15\pi } }{\pi }[/tex]cm

this means the answer is-

2 [tex]\frac{\sqrt{15\pi } }{\pi } cm[/tex]

Answer:bgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvddddddddddddddddddddddddddd

Step-by-step explanation:

Answer:

Step-by-step explanation:

well it will be 16 because a square has 4 sides so you multiply by the grams that would be 4. 4*4= 16

Answer:

a) 190 - 70(2/3) = 430/3 = 143 1/3 degrees

b) 190 - (2/3)x = 120

70 = 2x/3

210 = 2x

Step-by-step explanation:

x = 105 minutes

The number of each type of shirt that Marcus bring to the fair is 80 long-sleeved T-shirts  and 120 short-sleeved T-shirts .

Let x =Number of long-sleeved T-shirts

Let y = Number of short-sleeved T-shirts

Hence,

x + y = 200

1/2x + 1/3y = 80

Using linear Combinations Method:

6[1/2x + 1/3y = 80]

x +y =200

3x + 2y =480

So,

-2(x +y = 200)

3x + 2y = 480

-2x -2y=-400

3x + 2y = 480

x            = 80 (Long sleeved)

Solve for y

80 + y =200

y = 200 -80

y = 120 (Short sleeved)

Therefore he brought  80 and 120  T-shirts .

Learn more about number of T-shirts here:https://brainly.com/question/27022627

#SPJ1

The test statistics value is 0.380

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

Standard deviation  It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.

Formula:

t=(mean-time)/(standard deviation/√(number of students) )

=( 12 - 11.8) / (1.9 / √13 )

= 0.380

This is test statistics value.

To learn more about the standard deviation from the given link

https://brainly.com/question/12402189

#SPJ4

The equation of a straight line can be written if its slope and any one point lying on it is given. The  equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3). The correct answer is option B.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The slope of the line = -1 / 7

The coordinate of the point on the line = (3,3)

The equation of a line having slope m and passing through a point (x₁, y₁) is given as,

(y - y₁) / (x - x₁) = m

Thus, the equation of the line for given slope and point is given as,

(y - 3) / (x - 3) = -1 / 7

=> (y - 3) = -1 / 7 × (x - 3)

Hence, the equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3).

To know more about straight line equation click on,

https://brainly.com/question/21627259

#SPJ1

Answer: 11 Cents per ounce of Juice

Step-by-step explanation:

The first step here is going to be to find how many ounces are in a gallon. This can be determined as shown using the given information you stated above:

1 gallon * 4 quarts * 2 pints * 2 cups * 8 ounces = 128 ounces in 1 gallon

Step 2 is multiplying 128 ounces by 2 because we have two gallons of juice in the bottle:

128 ounces per gallon* 2 gallons = 256 ounces

Step 3 is dividing the total cost of the juice, which is $28.16, by the number of total number ounces (256)

$28.16 / 256 ounces = .11 dollars per ounce (aka 11 cents per ounce)

Zeros of f(x) = [tex]x^{2} +6x[/tex] is (0,0) and (-6,0).

Given, f(x) = [tex]x^{2} +6x[/tex]

                = x(x+6)

For zeros, function f(x) = 0

x(x+6) = 0

x = 0    x+6 = 0

                x = -6

Putting values of x in equation,

For x = 0

f(x) = [tex]0^{2}+6(0)[/tex]

     = 0

Therefore, (0,0)

For x = -6

f(x) = [tex](-6)^{2}+6(-6)[/tex]

     = 36 - 36

     = 0

Therefore, (-6,0)

Hence, zeroes for f(x) is (0,0) and (-6,0).

To learn more about Zeros here:

https://brainly.com/question/2292293

#SPJ1

The number of bananas Bruce can eat in 4 weeks is 70 bananas

From the question, we are to calculate the number of bananas Bruce can eat in 4 weeks.

From the given information,

Bruce can eat 2 1/2 bananas per day

First, we will determine the number of days there are in 4 weeks

NOTE: There are 7 days in 1 week

If there are 7 days in 1 week

Then,

There are 4 × 7 days in 4 weeks

4 × 7 = 28 days

That is, 4 weeks = 28 days

Now, we will determine the number of bananas Bruce can eat in 28 days

If Bruce can eat 2 1/2 bananas per day

Then,

Bruce can eat 28 × 2 1/2 bananas in 28 days

28 × 2 1/2 = 28 × 5/2

= 14 × 5

= 70

Hence, Bruce can eat 70 bananas in 4 weeks

Learn more on Calculating number here: https://brainly.com/question/20236646

#SPJ1

Answer:

70

Step-by-step explanation:

Bruse can eat 2 1/2 bananas in one day so:

1day=2 1/2bananas.

if 1wk=7days

4wks=x =28days

1day=2 1/2 bananas

28da

28×2 1/2

=28×5/2=70

answer=70bananas

Answer:

Step-by-step explanation:

x=-4 that should be the answer i don't really know how too explain but i did this 2 years ago

Answer:

Step-by-step explanation:

The equation which relates the number of triangles in figure (n) to the perimeter of the figure (P) is P = 6n + 18. Option A is correct.

We are given:

The perimeter of the 1 triangle = 24

The perimeter of the 2 triangle = 30

The perimeter of the 3 triangle = 36

As we can see in the given figures two sides with lengths of 9 are fixed and the side with a length of 6 is varying.

So, we can write this as,

P = 6n + 18, where n = number of triangles.

Now, check the equation formed by substituting the values;

Substitute n = 1, and we get;

P = 6(1) + 18

P = 6 +18

P = 24 True.

Substitute n = 2, and we get;

P = 6(2) + 18

P = 12 +18

P = 30 True.

Substitute n = 3, and we get;

P = 6(3) + 18

P = 18 + 18

P = 36, true.

So, it is true for all the figures.

Thus, the equation which relates the number of triangles in figure (n) to the perimeter of the figure (P) is P = 6n + 18. Option A is correct.

To learn more about triangle visit:

https://brainly.com/question/28660527

#SPJ1

Equation of the line that passes through (7, 10) and is perpendicular to the line y =x-9 is y = -x+17.

Given equation, y = x-9

Slope = m = 1

Slope of line perpendicular to given line = -1/m

                                                                    = -1/1

                                                                    = -1

Let the equation of line be y = mx + c

Passes through A(7,10)

10 = -1(7) + c

10 = -7 + c

c = 10 + 7

  = 17

Hence, equation is y = -x+17

To learn more about Equation of the line here:

https://brainly.com/question/21511618

#SPJ1

The distance between the cars increasing 2 hours later is 65mph

Let’s say, the velocity in the west is x, the velocity in the south is y, and the distance between them is s at any time t. Since the west and south directions are perpendicular to each other, this will be for a right-angled triangle.

So, we have [tex]x^2 + y^2 = s^2[/tex] --------------(1)  

(please note all of them are changing as t increases.)

So, x=u×t and y=v×t,

so using (1), we can write

[tex][(u\times t)^2 + (v\times t)^2] = s^2[/tex]

[tex]s= \sqrt{(u^2 + v^2)}* t[/tex]

Using the value of u and v,

get [tex]\sqrt{(u^2 + v^2)}[/tex]= 65

So, s= 65 t

ds/dt = 65 mph

There fore the distance between the cars increasing 2 hours later is 65mph

To learn more about the distance visit:

https://brainly.com/question/15256256

#SPJ4

The ratio of BE/BC is 1:3.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

In triangle ABC, the ratio of FA and CF is 1:2.

Since, the point G is the midpoint of BF,

Implies that G divides  BF in ratio 1:1.

By using mass point geometry,

The ratio of BE/BC=1:3

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ1

The measure of ∠A is 106°.

Quadrilateral ABCD is inscribed in this circle.

To find out the measure of LA:

We are given that, 'Quadrilateral ABCD is inscribed in the circle'.

So, we get that,

'ABCD is a cyclic quadrilateral' that is The sum of the opposite interior angles is 180°.

Thus, we have,

∠A +∠C = 180°

i.e. ∠A + 74° = 180°

i.e. ∠A = 180° - 74°

i.e. ∠A = 106°

Thus, the measure of ∠A is 106°.

Hence the answer is the measure of ∠A is 106°.

To learn more about quadrilateral measures click here https://brainly.com/question/2548902

#SPJ9

Answer:

x=59

Step-by-step explanation:

this is a full circle which is 360 degrees

We subtract 296 from 360 first

360-296=64

Then subtract 29 from 64

64-29=35

now we can set x-24 equal to 35

X-24=35

  +24 +24

x=59

Hopes this helps please mark brainliest

The apple mean weight's 95% confidence interval is;

CI = (119.14, 125.86) (119.14, 125.86)

The confidence interval above should be understood as;

We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.

Ours is given;

12 for the standard deviation.

Sample size: 49; n

x = 122.5 is the indicated mean weight.

The current confidence interval formula is;

CI = x⁻ ± z(σ/√n)

Tables indicate that z = 1.96 at a 95% confidence level.

Thus;

CI = 122.5 ± 1.96(12/√49)

CI = 122.5 ± 3.36

CI = (122.5 - 3.36), (122.5 + 3.36)

CI = (119.14, 125.86)

Learn more about confidence interval at

https://brainly.com/question/15693569

#SPJ4

The formula that is used to calculate the midpoint for the given two point is written as ( (x₁ + x₂)/2 , (y₁ + y₂)/2).

Mid point:

Midpoint refers the point on a line that is at an equal distance from either end.

Given,

Here we have to explain the concept of midpoint in a simple manner.

According to the definition, midpoint refers the central point between the two points.

So, in a simple manner we have said that the mid point is calculated by finding the average of the two given point.

For example, (x₁, y₁) and (x₂, y₂) are the points, then the midpoint (xₙ, yₙ) is calculated by using the formula,

(xₙ, yₙ) = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)

Similarly, if one point and the midpoint is given, then the another point is calculated by apply the remaining point as (x, y) and solve it accordingly, then we can get the value of it.

To know more about Midpoint here.

https://brainly.com/question/8943202

#SPJ1

The probability to take 5 classes is 0.1, while the probability to take at least one class is 0.6, the probability to take 2 or 3 classes is 0.23 and the expectation of the distribution is 1.37.

The distribution given is

X                  PIX)

0                  0.4

1                   0.25

2                  0.15

3                  0.08

4                  0.02

5                  ???  

1.

We know that the sum of all the probabilities in a probability distribution is always equal to 1.

Let the probability of X = 5 be p

Hence,

0.4 + 0.25 + 0.15 + 0.08 + 0.02 + p = 1

or, 0.9 + p = 1

or, p = 1 - 0.9

or, p = 0.1

Hence the probability to take 5 classes is 0.1.

2.

We need to find P(X ≥ 1)

= 1 - P(X = 0)

From the distribution we know that P(X = 0) is 0.4

Therefore, P(X ≥ 1)

= 1 - 0.4

= 0.6

Hence, the probability to take at least one class is 0.6

3.

The probability to take 2 or 3 classes in a semester

= P( X = 2)  +  P(X = 3)

= 0.15  +  0.08

= 0.23

4.

The expectation of any distribution

= ∑xp(x)

where,

x is the random variable

p(x) is the probability of the random variable

Therefore,

E(X) = 0 X 0.4  +  1 X 0.25  +  2 X 0.15  +  3 X 0.08  +  4 X 0.02  +  5 X 0.1

= 0  +  0.25  +  0.30+  0.24  +  0.08  +  0.50

= 1.37

Therefore the expectation is 1.37

To know more about probability visit

https://brainly.com/question/28168108

#SPJ4

The equation that models the amount of time that is left on the cd is 80 - m.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, the blank CD can hold 80 minutes of music you have burned m minutes of music onto the cd. The time left will be:

= Total minutes - Time used

= 80 - m

This illustrates the equation.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

If Latanya receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. Then 6 visits Latanya has to make to earn a free ticket.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that,

Latanya has 60 rewards points just for signing up.

For each visit to theatre she earns 9.5 points.

To get free ticket she needs 117 points.

We need to find how many visits she has to do to get free ticket.

We use Linear equation to solve this

Let y = total number of rewards points

x = number of visits to the movie theater

m=Points for each visit

y=mx+b

117=9.5x+60

Subtract 60 on both sides

117-60=9.5x

57=9.5x

x=6

Hence she has to make 6 visits to earn a free ticket.

To learn more on slope intercept form click:

brainly.com/question/9682526

#SPJ1

Answer:

6   x=6

Step-by-step explanation:

The solution is

The Hypotenuse = FD

Side Opposite of ∠F = MD

Side Adjacent of ∠F = MF

Side Opposite of ∠D = MF

Side Adjacent of ∠D = MD

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

The triangle FMD and the ∠M is a right angle

So , ∠M = 90°

From the figure , we can deduce that

The Hypotenuse = FD

Side Opposite of ∠F = MD

Side Adjacent of ∠F = MF

Side Opposite of ∠D = MF

Side Adjacent of ∠D = MD

Hence , the required solution is based on trigonometric relations

To learn more about trigonometric relations click :
https://brainly.com/question/14746686

#SPJ1

The percentage of three types of tickets collected at the gate:

ai) student's ticket as a percent: 48%, as a fraction: 48/100, and as a decimal: 0.48.

aii)Adult's ticket as a percent:28%, as fraction:28/100, and as decimal: 0.28.

aiii) Senior's( 65 and older) ticket: 14%, as fraction:14/100 and as decimal: 0.14.

b)Tickets for children under 5years is: 10%, as fraction:10/100, and as decimal: 0.10.

what is percentage?

This is a number written as a ratio of a hundred or as a fraction of a hundred. it is represented with "%".

How to calculate the percentages:

.As a fraction: Write it as a ratio of a hundred.

ticket type for

i) students48% =48/100

ii)Adult       28%=28/100

iii)Senior's( 65 and older)14% =14/100

.As a decimal: Write it as a ratio of hundred then divide by hundred.

ticket type for:

i) students48% =48/100=0.48

ii)Adult       28%=28/100=0.28

iii)Senior's( 65 and older)14% =14/100=0.14

b)To calculate the percentage of tickets of children under 5 years:

Percent(% )means 100

Therefore,

100 - student ticket %- Adult's ticket % - Senior's( 65 and older) ticket%

100- 48 - 28 - 14 = 10%

Thus for children under 5 years,

i)As percent is:10%,

ii)as fraction:10/100

iii)decimal: 0.10.

Learn more on percentages

https://brainly.com/question/12948737

#SPJ1

As per the concept of inequality, the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is 15 + 4m ≥ 35

Inequality

Inequality shows a non equal relationship between two numbers or two expressions.

Given,

Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles.

Here we need to determine the inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.

Here we know that, his goal for this week is to run a minimum of 35 miles.

For this week, he has already run 15 miles.

In the given inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.

=> 15 + 4m ≥ 35

Here we know that, 4m = number of m miles run in 4 days.

Therefore, inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is written as,

=> 15 + 4m ≥ 35

To know more about Inequality here.

https://brainly.com/question/28823603

#SPJ4

Answer: t = 5d t = 1/5d

Step-by-step explanation:

Answer:

34562

Step-by-step explanation:

you add them together

Answer:

f ≤ 4

Step-by-step explanation:

f/4 + 6 ≤ 7

f/4 ≤ 7 - 6

f/4 ≤ 1

f ≤ 4

Answer:

 F<4

________

________