Need help with this

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Answer:

Hello! answer: C

Hope that helps!

Answer:

b

Step-by-step explanation:

Experimental - 5 choices, 1 is Q = 1/5

Theoretical - 5 choices, landed on Q 4 times =4/5

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

for such more question on Kevin's account

https://brainly.com/question/26866234

#SPJ11

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

learn more on set here: https://brainly.com/question/29484130

#SPJ1

Answer:

I think that it could be A, or the third choice.

We need to see which points are solutions for the given system of inequalities, thus the solutions are points B and L.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Solving a system of inequalities we have the system here;

y <-2x + 10

y < 1/(2x - 2)

A point is a solution of the system if and only if it is a solution for both inequalities.

Now, Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached below.

So, only B and L are solutions for the system.

If you want to learn more about inequalities;

brainly.com/question/19491153

#SPJ5

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

AB would be 21

Step-by-step explanation:

Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.

Answer:

1,500 beds

Step-by-step explanation:

Occupancy rate  shelter A = 300 x 20/100 = 60

Let capacity of shelter B be X

60% occupancy ==> 60/100 x X = 0.6X

Occupancy rate of A to rate of B is 1: 15 can be expressed as fraction 1/15

Therefore
60/0.6X = 1/15

1 x 0.6X = 60 x 15

0.6X = 900

X = 900/0.6 = 1,500 beds

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

To learn more about inequalities visit:

https://brainly.com/question/27425770

#SPJ9

If she is setting up a proportion to find the percent, the value of m would be any variable and the value of n would be 100.  When she solves the problem, m=65%.

13/20 is part out of whole.  The rest of the proportion will be "percent out of 100"; since we don't initially know the percent, we use a variable.  Thus we have

13/20 = m/100

Cross multiply:

20*x = 13*100

20x = 1300

Divide both sides by 20:

20x/20 = 1300/20

x = 65

Answer:

42/7

Step-by-step explanation:

Change 6 to a fraction by putting a 1 under the 6.

6 becomes 6/1

Then multiply by 7/7 to change the denominator to 7 as was asked for in the question.

6/1 × 7/7

= 42/7

When you multiply fraction × fraction, you multiply top×top and bottom×bottom.

6 rewritten as a fraction with the 7 on the bottom is 42/7

Answer:

7

Step-by-step explanation:

i took the quiz

Part a: will earn the smallest amount of interest at 321.2 when 8030 is invested for 2 years at 2%

We will use the formula for all the parts:

Simple interest is interest that is simply charged on the principal amount, which is the original amount borrowed or deposited. The interest charge will only be applied once, regardless of how frequently it is applied.

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time in years

Part a:

Simple interest = 8030*2*2/100

= 321.2

Part b:

Simple interest = 1901*8*4/100

= 608.32

Part c:

Simple interest = 5330*6*2/100

= 639.6

Part d:

Simple interest = 3970*6*4/100

= 952.8

Although a part of your question is missing, you might refer to this full question: Which of the following investments will earn the smallest amount of interest? a. $8,030, invested for 2 years at 2.0% interest b. $1,901, invested for 8 years at 4.0% interest c. $5,330, invested for 6 years at 2.0% interest d. $3,970, invested for 6 years at 4.0% interest

Learn more about simple interest:

https://brainly.com/question/25845758

#SPJ1

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 0.0695.

A. i. The probability that the selected joint was judged to be defective by Inspector A is 734/10000 = 0.0734.

ii. The probability that the selected joint was judged to be defective by Inspector B is 742/10000 = 0.0742.

iii. The probability that the selected joint was judged to be defective by Inspector A or B is 954/10000 = 0.0954.

iv. The probability that the selected joint was judged to be defective by both Inspectors A and B is the intersection of their judgments, which can be found by subtracting the defective joints found only by one inspector from the total defective joints found by both inspectors. The probability is (954 - (734 - 742))/10000 = 0.0478.

B. The probability that the selected joint was judged to be defective by neither of the two inspectors is (10000 - 954)/10000 = 0.9046.

C. The probability that the selected joint was judged to be defective by Inspector B but not by Inspector A is 742 - 0.0478 = 695/10000 = 0.0695.

Read more about Probability:

https://brainly.com/question/16484393

#SPJ4

a) Between 249 and 283 days is the average duration of a pregnancy (or 68% of all pregnancies).

b) The majority of pregnancies (around 99.7%) last between 215 and 317 days.

Length could be measured in a wide range of ways, including handspan, foot span, meters, inches, and millimeters. Units of measure of measuring length or non-standard units for measuring length are the two categories into which the units for measuring length may be divided.

(a)

population mean (u) = 266

standard deviation (σ)= 17

value of score (x) = 249

value of score (x_2) = 283

                                      z (x-u)/σ

z-score     -1

z-score      1

P(249<x<283)=p(-1<z<1)

p(z<1)-p(z<-1.00)

= 0.8413 - 0.1587

= 0.6827

(b)

corresponding to the z-score of the middle 99.7% is = ±3

= μ ± 3×σ

= 266 ± 3×17

= 266 ± -51

= 215,317

Approximately 99.7% of the pregnancies have length between 215 days and 317 days

To know more about Length visit:

https://brainly.com/question/30100801

#SPJ1

Answer:

\([7\times(-2)]^5 = 7^5 \times (-2)^5\)

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

Since it's a right angle it's total is 90 degrees, so you'll subtract 35 from 90.

90-35=55

Answer:

missing angle is 55

Step-by-step explanation:

90 - 35 = 55

Answer:

x = 3/2

Step-by-step explanation:

2^2x = 2^3

2x = 3

x = 3/2

The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

what is normal distribution?

A normal distribution is a bell-shaped probability distribution that is symmetrical and characterized by its mean (μ) and standard deviation (σ). It is also known as a Gaussian distribution, after the mathematician Carl Friedrich Gauss.

However, for smaller sample sizes, the distribution of sample means may still resemble the shape of the population distribution.

Here are some more specific descriptions of the distribution of sample means for different population distributions:

1. Rectangular distribution: The distribution of sample means will approach a normal distribution as the sample size increases, with the mean and median at the center of the distribution.

2. Uniform distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, with the mean at the center of the distribution.

3. Normal distribution: The distribution of sample means will be a normal distribution regardless of sample size, with the mean and median at the center of the distribution.

4. Positively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be higher than the median.

5. Nonmodal distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the nonmodal distribution.

6. Multimodal distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the multimodal distribution.

7. Negatively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be lower than the median.

Therefore, central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To learn more about normal distribution from the given link:

https://brainly.com/question/29509087

#SPJ1

The sum of the x-coordinates of the points that lie in the region above the straight line y = 2x + 7 in coordinate plane is thirty-eight.

A point lies above the straight line , y = 2x + 7 in co-ordinate plane . If its y -coordinate is greater than two times its x-coordinate plus 7. Now, we are checking the each ordered pair one by one ,

(i) plug x = 3 and y = 10

2x + 7 = 3×2 + 7 = 13 > 10

(ii) plug x = 6 in 2x+7

=> 2× 6 + 7 = 19 < 20

(iii) x = 12

=> 2x + 7 = 2× 12 + 7 = 31 < 35

(Iv) x = 18

=> 2x + 7 = 2× 18 + 7 = 43 > 40

(v) x = 20

2x + 7 = 2×20 + 7 = 47 < 50

We see (6, 20) , ( 12,35) and (20,50) satisfy this condition. Now, we determine the sum of x-coordinates . The sum of the x-coordinates of these points is 6 + 12 + 20 = 38 . So, required sum of x-coordinates is 38.

To learn more about Straight line, refer:

https://brainly.com/question/25969846

#SPJ4

Complete question:

Of the five points (3, 10), (6, 20),(12, 35), (18, 40)and (20, 50), what is the sum of the x-coordinates of the points that lie in the region above the line

y = 2x + 7 in coordinate plane.

The best definition of the term mirror line is "A mirror line is the line over which an object in the coordinate plane is reflected". So option A is correct.

A form or item is divided into two equal and symmetrical portions by a line of symmetry. Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

Given options,

A. A mirror line is the line over which an object in the coordinate plane is reflected.

Yes this statement is according to definition of mirror line.

B. A mirror line is a line in the plane that is units away from the y-axis.

no its is not like that so it is incorrect option.

C. A mirror line is another name for the line of translation. no translation is a different concept so it also incorrect.

D. A mirror line is always a diagonal line in the plane that divides it into eight sections. it is also not correct.

To know more about mirror line check:

https://brainly.com/question/16827660

#SPJ1

Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

Learn more about volume of cone, by the following link

https://brainly.com/question/1082469

#SPJ1

Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

Answer:

It is factorizable

Step-by-step explanation:

4(x² - 3x + 2) is the factoried version :)