Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Hi. Your question isn't complete but I got something close to it online.

The monthly mean salaries and standard deviations of four college students are given below. student mean standard deviation clarissa $345 12.53 abi $598 8.99 kaila $812 15.29 shenika $208 7.67 which statement must be true?

We can see that while Shenika has a mean of $208 and a standard deviation of 7.67, Clarissa has a mean of $345 and a standard deviation of 12.53. This simply means that monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Answer:

A - The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

edge

Answer:

510.1

Step-by-step explanation:

convert m to km by dividing by 1000 and add all of the numbers together

Answer:

11

Step-by-step explanation:

because it would be the reciprical of 1/8 which is 8/1 plus 3

Step-by-step explanation:

angle A = angle D

angle C common angle

angle E = 180 - 63 - 52

5x = 65

x = 13deg

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

x = 13°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 63°.

Angle C = 52°

Angle B = Angle E = 5x

Now, In Triangle ABC,

Angle A + Angle B + Angle C = 180°.

63° + 5x + 52° = 180°

115° + 5x = 180

5x = 65°

x = 13°

HOPE IT HELPS!!!

Answer:

x = number of students in the van = 14

y = number of students in the bus = 37

Step-by-step explanation:

Let

x = number of students in the van

y = number of students in the bus

14x + 2y = 270 (1)

9x + 9y = 459 (2)

Multiply (1) by 9 and (2) by 2

126x + 18y = 2,430 (3)

18x + 18y = 918 (4)

Subtract (4) from (3)

126x - 18x = 2,430 - 918

108x = 1,512

x = 1,512 / 108

= 14

x = 14 students in each van

Substitute x = 14 into (1)

14x + 2y = 270

14(14) + 2y = 270

196 + 2y = 270

2y = 270 - 196

2y = 74

y = 74/2

= 37

y = 37 students in each bus

x = number of students in the van = 14

y = number of students in the bus = 37

Answer:

Step-by-step explanation:

Step one

given the amount £761

we are asked to increase this amount by 77%

let us first find 77% of the amount £761

=77/100*761

=0.77*761

= £585.97

Step two:

Hence 77% of  £761 is £585.97

therefore the increase will be to add the two amounts together

=£585.97+£761

=£1346.97

Answer:

Step-by-step explanation:

6785*7%=474.95 in commission

500 per week salary is more

Answer:

6785*7%= 474.95

Step-by-step explanation:

Hope this helps

Lemme know

Answer:

106.73

Step-by-step explanation:

Step-by-step explanation:

angle ABD = 180 - 116 = 64° (angles on a straight line are supplementary)

angle x = 2(64) = 128° (angle at centre = 2angle at circumference)

Topic: Circle properties

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

Step-by-step explanation:

80*60%= 48 free throws were made

Answer: 48

Step-by-step explanation:

80x 0.01=0.8

0.8x 60=48

Answer:

14 bars

Step-by-step explanation:

Mark me brainliest plz

Answer:

A

Step-by-step explanation:

I like math

Answer:

Answer is A

Step-by-step explanation:

edge2021

Answer:

y= -2/3x - 9

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)= -2/3(x-(-6)

y+5=-2/3(x+6)

y+5= -2/3x - 4

y= -2/3x - 9

Answer: C

Step-by-step explanation:

Supplementary angles add up to 180

x + 83 = 180

x= 97

Step-by-step explanation:

hope this helps, happy learning!!!

Answer:

A i think

Step-by-step explanation:

....... X U Y

means x united y

which is both x and y

Here, Option D is the right answer in the given Venn diagram.

What is Venn diagram?

A Venn diagram is a diagram that represents the logical relation between two or more sets.

Y' represents everything except Y inside the box.

When we do X ∪ Y', it will represent the total area inside the box where only Y is not there.

Hence, Option D is right answer.

Learn more about Venn diagram here: https://brainly.com/question/17013941

#Tag #SPJ2

Answer:

The answer is answer choice C. A - B/2

Step-by-step explanation:

Answer:

very easy 65inches

Step-by-step explanation:

follow me

Answer: 1/4³

Step-by-step explanation:

When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.

Examples:

2^-2 = 1/2²

3^-3 = 1/3³

4^-4 = 1/4⁴

The diagram of the pentagon is missing, so i have attached it.

Answer:

|AE| = 130 m

|DE| = 150 m

Perimeter of pentagon = 720 m

Step-by-step explanation:

From the diagram, we can find AE from pythagoras theorem;

|AE| = √(|AA'|² + 50²)

Where AA' is the length from A to the perpendicular angle.

Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30

AA' = AB - A'B = 150 - 30

AA' = 120

Thus;

|AE| = √(120² + 50²)

|AE| = √(14400 + 2500)

|AE| = √16900

|AE| = 130

Similarly,

|DE| = √(|DD'|² + |ED'|²)

ED' = BC - 50

ED' = 140 - 50

ED' = 90

Also, DD' is parallel to AA' and is = 120

Thus;

|DE| = √(120² + 90²)

|DE| = √22500

|DE| = 150

Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720

Answer:

7

Step-by-step explanation:

Answer:

the answer is -109  

:)

Answer:

-109

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 4y - 2(3y - 5) \\ \\ = > 4y- 6y + 10 \\ \\ = > \green{\boxed{ - 2y + 10}}[/tex]

Answer:

y = 12x + 10

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 12x + 10.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 12 and the y-intercept is 10, we have:

y = 12x + 10

Therefore, the equation of the line in slope-intercept form is y = 12x + 10.

To learn more about the slope;

brainly.com/question/3605446

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Answer: The cat is 4 years old, and the dog is 6 years old.

Step-by-step explanation:

We know that Buddy is 2 years old than Fluffy.

And 3 years ago, Buddy was 3 times older than Fluffy.

Let's define the variables:

B = age of Buddy

F = age of Fluffy.

The first statement can be written as:

B = F + 2

The second statement can be written as:

B - 3 = 3*(F - 3)

To solve this, we can replace the first equation into the second one, and solve that for F

B - 3 = 3*(F - 3)

(F + 2) - 3 = 3*F - 9

F - 1 = 3*F - 9

-1 + 9 = 3*F - F

8 = 2*F

8/2 = 4 = F

Fluffy is 4 years old, and with the first equation we can find the age of Buddy.

B = F + 2 = 4 + 2 = 6

Buddy is 6 years old

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

Given ,

James's dog buddy is 2 years older than Fluffy,

And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.

Let ,

The age of buddy = B

The age of fluffy is = F

According to the question ,

Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.

B = F +2

Again According to the question,

Three years ago age of Buddy = B - 3

Three years ago age of Fluffy = F - 3

Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy

B - 3 = 3 ( F - 3 )

Solving the equations,

B - 3 = 3 ( F - 3 )

Put the value of B from equation 1

F + 2 - 3 = 3 ( F -3 )

F - 1 = 3F - 9

F - 3F = - 9 +1

-2F = -8

2F = 8

[tex]F = \frac{8}{2}[/tex]

F = 4

The age of fluffy is 4 years old.

Then ,

The age of buddy

B = F + 2

B = 4 + 2

B = 6

The age of buddy is 6 years old.

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

For more information about system of equation click the link given below.

https://brainly.in/question/27545639

9514 1404 393

Answer:

  "similar"

Step-by-step explanation:

Congruent polygons will have corresponding sides in the ratio 1:1, but they must also have identical corresponding angles. The description of figures with identical corresponding angles (along with proportional sides) is that they are "similar".

  Congruent polygons are similar polygons for which the ratio of the corresponding sides is 1:1.

Answer:

63

Step-by-step explanation:

Set up the proportion

(6x+3)/17 = (8x - 1)/21                 Cross Multiply

21 * (6x + 3) = 17 (8x - 1)             Remove the brackets

126x + 63 = 136x - 17                 Subtract 126x from both sides

63 = 136x - 126x - 17                 Combine

63 = 10x - 17                              Add 17 to both sides

63 + 17 = 10x                             Combine the left

80        = 10 x                             Divide by 10

80/10 = x

x = 8

Now you want 8x - 1

8*8 - 1 = 63                

Answer:

Angle 1 - 24 degrees

Angle 2 - 48 degrees

Angle 3 - 66 degrees

Angle 4 - 66 degrees

Angle 5 - 24 degrees

Angle 6 - 66 degrees

Angle 7 - 132 degrees

Step-by-step explanation:

I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.