Are these triangles congruent? If so, why?

Answer:

p) zero

q) 10,559.5

r) from $37,001 to $87,000

Step-by-step explanation:

p) zero

q) Tax = 3,572 + (58,500 - 37,000)(0.325)

= 3,572 + 6,987.5

= 10,559.5

r) from $37,001 to $87,000

Answer:33.1

Step-by-step explanation: 3.61 × 10-3 =33.1

Step-by-step explanation:

429 × 10⁷

hopefully it will help you

The value of m and b of the linear equation are 4 and 19 respectively

The linear equation is represented as y = mx + b, contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9

Linear equation can be represented as follows:

In slope intercept form,

y = mx + b

where

Therefore, the linear equation y = mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9.

Perpendicular lines follows the following rules:

m₁ m₂ = -1

Therefore, let's find the slope of the second equation and use it to find the slope of the linear equation that passes through (-4, 3).

5x + 20y = 9

20y = -5x + 9

y = -1 / 4 x + 9 / 20

Hence,

- 1 / 4 m₂ = - 1

m₂ = 4

Therefore, let's find the equation since we have gotten the slope.

y = 4x + b

It's passing through (-4, 3)

3 = 4(-4) + b

3 = -16 + b

b = 3 + 16

b = 19

Therefore, the value of m and b of the linear equation are 4 and 19 respectively

learn more on linear equation here: https://brainly.com/question/17754578

#SPJ1

When the signs of the integers are the same, 1) add the integers and copy the 2) same sign. When the signs are 3) different, subtract them and use the sign of the number with the greater 4) absolute value. If we add two same numbers with different signs, then the answer is equal to 5) zero . The sum of any two negative integers is always a 6. )negative integer. The sum of any two positive integers is a 7) positive integer.

Integers are a subset of real numbers that contains all rational numbers except decimals or fractions

When the signs are the same, add the integers and copy the same sign.

Examples: (+2) + (+8) = +10

                   -1 + (-4 )= -5

When the signs are different, we subtract and use the sign of the number with the bigger absolute value.

Examples; +12 + (-4) = +8

                  -12 + (+4) = -8

If we add two same numbers with different sign then the answer is equal to zero.

Examples: +5+ (-5) = 0

                 -1 + +1 = 0

The sum of any two negative integers is a always a negative integer.

Examples: -3 + (-5) = -8

                 -16 + (-10) = -26

The sum of any two positive integers is a always a positive integer.

Examples: +12 + +56 = +68

               +35 + + 15= +50

To learn more about integer visit:

https://brainly.com/question/15276410

#SPJ9

Answer:

Did you mean 138/8?

If so, 17.25 is correct.

Answer:

hope it helps you

Step-by-step explanation:

thankss :) if its wrong let me know

Answer:

(-13, -10)

Step-by-step explanation:

Your original point is (-17, -13)  The instruct tell you to move the point 4 units to the right and down 7 units.

-17 + 4 = -13

-3 - 7 = -10

Answer:

d=1

Step-by-step explanation:

First let's simplify the first equation, 0.5(7d+4) by applying the distributive property

0.5(7d+4)

(0.5 x 7d) + (0.5 x 4)

3.5d+2

Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left

3.5d+2 = 7-1.5d

3.5d+2+1.5d=7

5d+2=7

Move all terms not containing d to the right side of the equation

5d+2=7

5d=7 -2

5d=5

Finally, divide each term by 5 to simplify

5d/5 = 5/5

d=1

Answer:

y = 2/5x + 1

Step-by-step explanation:

If two lines are parallel, their slopes are equal

so the slope would be 2/5

if y = -7, x = -20, m = 2/5

slope-intercept form:

y = mx + b

-7 = 2/5(-20) + b

-7 = -8 + b

b = 1

then y = 2/5x + 1

Check the picture below.

Answer:

3.8439141e+15

The factor of its area less than the initial area is 1/4

The given parameters can be represented as:

Second sheet = 1/2 * The first sheet

Assume the sheet is rectangular, the area of the sheet is calculated as:

Area = Length * Width

So, the area of the second sheet is

Second sheet = 1/2Length * 1/2Width

This gives

Second sheet = 1/4(Length * Width)

So, we have:

Second sheet = 1/4 * First sheet

Hence, the factor of its area less than the initial area is 1/4

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

j=50°

Step-by-step explanation:

10x-20=5x-3+4x-2( ext angle of ∆)

10x-5x-4x=-3-2+20

x= 15

substitute the value if x

10(15)-20+ j=180 ( sum of angles in straight line)

130+j=180

j=180-130

j=50°

Answer: 1053.7225

Step-by-step explanation:

Answer:

y = 4 x - 3

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (4, 13)

point: p_2 = (2, 5)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (5 - 13)/(2 - 4) = (-8)/(-2) = 4

Substitute the slope m = 4 and point (x_1, y_1) = (4, 13) into the point-slope equation y - y_1 = m (x - x_1):

y - 13 = 4 (x - 4)

Add 13 to both sides:

y = 13 + 4 (x - 4)

Distribute: 4 (x - 4) = 4 x - 16:

Answer:  y = 4 x - 3

Answer:  is #b

Step-by-step explanation:

The required cost of the punch is $4 per gallon.

Given that,
Anika spent $38 on 9.5 gallons of fruit punch.
To determine what is the cost per gallon.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total volume purchased = 9.5 gallons
Total cost = $38
Now,
The ratio of the total cost of punch to the volume of fruit punch purchases the total cost will give as the cost per gallon. So,
cost per gallon = 38 / 9.5
                      = $4 per gallon

Thus, the required cost of the punch is $4 per gallon.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

Number of chapters in the workbook = 12  

What  is a linear equation?

Total number of pages = 300

1 Chapter = 25 Pages

Divide 300 by 25 to figure out the total number of chapters in the workbook.

Number of chapters in the workbook = 300/25 = 12

Therefore, Number of chapters in the workbook = 12

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

61.96 inches.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hii ,myself neha and I love animals , that's why I love my friends .

Answer:

finding if kg DJ of CM ignor

Step-by-step explanation:

[tex](x-5)^2=16\\x-5=4 \vee x-5=-4\\x=9 \vee x=1[/tex]

The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20

The perimeter of a triangle is calculated by the summation of all the sides of a triangle

It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle

Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10

Further solving the equation to calculate the unknown variable x

5 + x - 4 + x - 5 = 10 + 16 + x - 10

2x - 4 = x + 16

2x - x = 16 + 4

x = 20

The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2

To learn more about perimeter of triangles refer here

https://brainly.com/question/24382052

#SPJ9

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be 65 + 25t

The temperature of the oven 10 minutes after being turned on will be:

= 65 + (25 × t)

where t = number of minute

= 65 + (25t)

= 65 + 25(10)

= 65 + 250

= 315°

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be:

= 65 + (25 × t)

= 65 + 25t

Learn more about computations on:

brainly.com/question/465834

#SPJ1

Answer:

n= 26.5

Step-by-step explanation:

Comment

You need some sort of formula for this question. But you more or less have to invent it.

Formula

Temperature midnight = noon - temperature drop

Givens

temperature drop = 28.4

temperature midnight = -1.9

Temperature noon = x

Solution

-1.9 = x - 28.4                       Add 28.4 to both sides

-1.9 + 28.4 = x-28.4+28.4    Combine

Answer

26.5 = x

The three arithmetic means between 12 and 44 are -

20, 26, 36.

We have two numbers 12 and 44.

We have to determine the three arithmetic mean between these numbers.

Assume that x, y and z are in AP, then -

y - x = z - y

2y = x + z

y = (x + z)/2

Here -  y is called the arithmetic mean of x and z.

According to the question -

Assume that the three arithmetic means between the two numbers are -

12, a, b, c, 44

Then -

12 , 12 + d, 12 + 2d, 12 + 3d, 44

will be an AP with common difference 'd'.

Now, we have -

a[5] = 44

Using the formula for nth term of an AP, we get -

a + (n - 1)d = 44

12 + 4d = 44

4d = 32

d = 8

Therefore, the three arithmetic means are -

12 + 8 = 20

12 + 2 x 8 = 26

12 + 3 x 8 = 36

Hence, the three arithmetic means between 12 and 44 are -

20, 26, 36

To solve more questions on Arithmetic mean, visit the link below-

https://brainly.com/question/10716683

#SPJ1

Answer:$65

Step-by-step explanation:69.81-4.75=65.06

65.06->65

The components are Nx= Ncosθ  and Ny= -Nsinθ

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

Learn more about vectors here:

https://brainly.com/question/1600633

#SPJ4

The measurements can be explained as low accuracy and high precision.

Accuracy is how close or far off a given set of measurements are to their true value.

Precision is how close or dispersed the measurements are to each other.

Given,

His height = 5 feet 3 inches

Friend measures you three times and gets these results =5 ft 10 in, 5 ft 9.5 in and 5 ft 10.5 in

Here, the measurements are closely dispersed but the measurements are far from actual measurement.

Hence, the measurements can be explained as low accuracy and high precision.

Learn more about Accuracy here

brainly.com/question/14244630

#SPJ4

Answer:  49   &  82

Step-by-step explanation:

*the total degrees for each triangle is 180 degrees

9)  Start with the triangle furthest left- subtract 71 and 57 both from 180.  That leaves you with 52 degrees for that third angle.  The angles that all make a straight line or straight angle add up to 180 degrees as well.  Now, subtract the 52 and 65 from 180, which leaves you with 63 degrees for the first angle in the second triangle.  Now subtract the 63 and 68 from 180, which leaves you with 49 degrees for that answer.

10)  For this one, you will start with the triangle further right, since it already has two angles shown.  Subtract the 85 and 35 from 180, which gives you 60 degrees for that third angle.  Then, you can use the vertical angles to fill in its opposite angle in the first triangle (vertical angles are equal).  This means that the first triangle has angles of 38 and 60 degrees, so subtract those both from 180, giving you 82 degrees for that answer.