Need to solve this !!

Answer:

D: <K = 35°

Step-by-step explanation:

<E = 55

<L = 90°

Now

<LKE = 180-90-55

<K = 35°

Answer:

\(\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}\)

Explanation:

Here, we state again the definition of inscribed angle in circle:

(1) An inscribed angle has the vertex on the circle and the sides are chords.

=> In the picture shown, angle ELK is inscribed angle with vertex L and LE and LK are chords.

(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.

=> Inscribed angle ELK creates intercepted arc EK.

(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.

=> Angle ELK = (1/2) arc EK

Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.

=> Angle ELK = (1/2) x 180 = 90 deg

(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.

=> Considering triangle ELK:

ELK + LEK + LKE = 180 deg

or

90 + 55 + LKE = 180 deg

or

LKE = 180 - 90 - 55 = 35 deg

Hope this helps!

:)

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

For more questions on relative velocity.

https://brainly.com/question/11418015

#SPJ8

The slope of the line of best fit in Robert's math class represents the relationship between a student's grade and the number of hours they study.

When Robert's math teacher plots student grades against the number of hours they study, she is creating a scatter plot on a coordinate plane.

Each point on the graph represents a student's grade and the number of hours they claim to have studied. The line of best fit is a straight line that passes as close as possible to all the data points.

The slope of this line represents the rate at which a student's grade changes as they study more hours.

Specifically, the slope tells us how much the grade changes for each unit increase in the number of hours studied.

To know more about coordinates here.

https://brainly.com/question/27749090

#SPJ4

Answer:add $750.00 + $1000.00 + $375.00 = $2125.00

Step-by-step explanation:

add all together. Your monthly expense of fixed amount, living, annual monthly,

Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

For more such questions on exponential expression

https://brainly.com/question/2456547

#SPJ8

Answer

1/9

Step-by-step explanation:

Hope this helps

Answer:

0.11111111111

Step-by-step explanation:

1/9 = 0.11111111111

ubj-tuju-qkq will u join in meet?

The complete question is

"A 4 inch by 6 inch picture is placed in a frame that creates a uniform border of x inches around the picture. The area of the entire frame (including where the picture is placed) is equal to 55.25 square inches.

What will be the width and length of the frame?"

The width of the frame is 4+2x, and the length of the frame is 6+2x.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We know that the picture is 4 inches wide and 6 inches long.

Since there is a uniform border of x inches around the picture, so we must add 2x inches to each dimension.

The area will be = (4+2x)(6+2x) = 55.25

Therefore, the width of the frame is 4+2x, and the length of the frame is 6+2x.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

For more details regarding triangle, visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

True ; it is true

Step-by-step explanation:

The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.

Variation describes a simple relationship between two variables.

Therefore, y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1 / w²

Therefore,

y = kxz / w²

where

k = constant of proportionality

Hence,

y = 3

x = 3

z = 10

w = 2

yw² / xz = k

k = 3 × 2² / 3 × 10

k = 12 / 30

k = 6 / 15 = 2 / 5

Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.

k = 4 × 4²  / 4 × 20

k = 64 / 80

k = 16 / 20 = 4 / 5

learn more on variation here: https://brainly.com/question/17068737

#SPJ2

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

225

Step-by-step explanation:

225 ÷ 9 =25

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

Answer:

12.689 rounded to the nearest hundredths is 129.69

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

To know more about binary class, refer: https://brainly.com/question/15683492

#SPJ4

Answer:

d

Step-by-step explanation:

f = 202

Step-by-step explanation:

\(7 \times 5f = 7070\)

\(5f = \frac{7070}{7} \)

\(5f = 1010\)

\(f = \frac{1010}{5} \)

\(f = 202\)

Verification to check the given answer is correct, then put the value of f in the given question.

\(7 \times 5(202) = 7070\)

\(35(202) = 7070\)

\(7070 = 7070\)

L.H.S. = R.H.S

\({ \green { \boxed{ \red{ \sf{f = 202}}}}}\)

Step-by-step explanation:

The given Eqⁿ is, \({ \purple{ \sf{7 \times 5f = 7070}}}\)

We need to find the value of f. So, let us cancel the numbers one by one.

First, let us cancel 7 by dividing both the sides by 7 in the given Eqⁿ.

\({ \purple{ \sf \frac{ \cancel7 \times 5f}{ \cancel7}}} = { \purple{ \sf{ \frac{ \cancel{7070} ^{ \green{ \tt{1010}}} }{ \cancel 7_{ \green{ \tt{1}}}}}}}\)

\({ \purple{ \sf{5f = 1010}}}\)

Now, let us cancel 5 by dividing both the sides by 5. then,

\({ \purple{ \sf{ \frac{ \cancel5}{ \cancel5}f}}} = { \purple{ \sf{ \frac{ \cancel{1010^{ \red{ \tt{ \: \:202}}}}}{ \cancel 5_{ \red{ \tt{1}}}}}}}\)

\({ \boxed{ \blue{ \sf{f = 202}}}}\)

Scale factor back to original size = 1/7

        7x and 7 years.

This means the original size will be;

Length = 7x × 1/7

Width = 7y × 1/7

Hence, the scale factor will be 1/7 back to the original size.

Learn more about transformation of objects here

https://brainly.com/question/17292295

#SPJ9

Answer:

a) response variable

Step-by-step explanation:

The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.

In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.

In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".

Answer:

6743÷110 = 67.43÷1.1........... thanks

Answer:

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

(0.4958 , 0.7041)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 85

The sample proportion

            \(p = \frac{x}{n} = \frac{51}{85} = 0.6\)

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

\((p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.05} \sqrt{\frac{p(1-p)}{n} })\)

Step(ii):-

Given that the level of significance

α = 0.05

Z₀.₀₅ = 1.96

\((0.6 -1.96 \sqrt{\frac{06(1-06)}{85} } , 0.6 +1.96 \sqrt{\frac{0.6(1-0.6)}{85} })\)

(0.6 - 0.104138 , 0.6 +0.104138)

(0.4958 , 0.7041)

Final answer:-

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

(0.4958 , 0.7041)

Answer:

Step-by-step explanation:

Given a triangle with angles marked (2x-5)°, x°, and 62°, you want the measures of the unknown angles A and B.

The sum of angles in a triangle is 180°. That means ...

  (2x -5)° +x° +62° = 180°

  3x° = 123° . . . . . . . . . . . subtract 57°, collect terms

  x = 41 . . . . . . . . divide by 3°

Angle A is ...

  (2x -5)° = (2·41 -5)° = 77°

Angle B is ...

  x° = 41°

Angle A is 77°, angle B is 41°.

1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.

-3.6 x 10 = 36 degree decrease.

25 - 36 = -11

At 12,000 feet, the temperature will be -11.

2.  First, we need to do 8.80 x 7 = 61.6

61.6 / 4 = 15.4

61.6 - 15.4 = 46.2

He has $26.20 left.

Hope this helps!

Answer:

E=108

Step-by-step explanation:

\(E=mc^2\\\\m=3\\\\c=6\\\\E=(3)(6)^2\\\\E=3*36\\\\E=108\)

Steps to solve:

E = mc^2 when m = 3 and c = 6

~Substitute

E = (3)(6)^2

~Simplify

E = 3(36)

~Multiply

E = 108

Best of Luck!

Answer:

50% are blue.

Step-by-step explanation

The total number of skittles  in the packet will be represented by 100%. If 27% are red and 23% are green then the combination of the red and green skittles subtracted from 100 will give the percentage of the blue skittles.

27% + 23% = 50%

100% - 50% = 50%  

This means half of the skittles in the packet are blue which is 50%.

Answer:

Y=1/4x

Step-by-step explanation:

During the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

Let's assume the number of junior and high school students riding the subway during the morning rush hour is J, the number of adults is A, and the number of senior citizens is S.

From the given information, we can set up a system of equations based on the number of riders and the revenue generated.

Equation 1: J + A + S = 15,600 (total number of riders)

Equation 2: 1.04J + 2.20A + 1.04S = 32,464 (revenue equation with original ticket prices)

Equation 3: 1.24J + 2.60A + 1.04S = 38,264 (revenue equation with new ticket prices)

We can start by subtracting Equation 2 from Equation 3 to eliminate the J and S terms:

0.2J + 0.4A = 3,800

Next, we can multiply Equation 1 by 0.2 and subtract it from the above equation to eliminate the J term:

0.4A - 0.2J - 0.2A = 3,800 - 3,120

0.2A = 680

A = 680 / 0.2 = 3,400

Now, we can substitute the value of A back into Equation 1 to find the values of J and S:

J + 3,400 + S = 15,600

J + S = 15,600 - 3,400

J + S = 12,200

We have two equations with two variables (J + S = 12,200 and 1.04J + 1.04S = 12,264). By solving these equations simultaneously, we find J = 6,400 and S = 5,800.

Therefore, during the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

For more questions on revenue , click on:

https://brainly.com/question/30760779

#SPJ8

To find the number of subway riders in each category, we set up a system of equations based on the total number of passengers and the total revenue. Solving this system will give us the number of junior and high school students, adults, and senior citizens. The number of riders doesn't change with the increase of ticket prices.

To solve this problem, we set up a system of equations based on the information given in the question.

Let's denote the number of junior and high school students as J, adults as A, and senior citizens as S. We know that there's total of 15,600 passengers, so:

J + A + S = 15,600

We also know that the total revenue was $32,464. Given the ticket prices for each group, we can write:

$1.04J + $2.20A + $1.04S = $32,464

Solving this system of equations (possibly with the help of a calculator or computer software), we can find the number of riders in each category.

The number of riders for each category would only change if the number of riders changes, not the price of the tickets, so when the prices increase, the number of riders remains the same.

https://brainly.com/question/21620502

#SPJ2

The answer is  4.25 miles