In triangle DEF, the measure of angle E is 90°,
DE = 5, and DF= 13. The dimensions of DEF are
doubled to form triangle GHI with vertices D, E, and
F corresponding to vertices G, H, and I, respectively.
What is the value of tan I?

Answer:

Point-slope form: y - 9 = 1/3 (x - 3)

y-intercept form = 1/3x + 8

Step-by-step explanation:

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:

y -9 = 1/3(x - 3)

y-intercept form

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line will be calculated by the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:-

y -9 = 1/3(x - 3)

y-intercept form:-

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Therefore, point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

Answer:

Step-by-step explanation:

1) P (1,1) Q( 3,2) R(3,4)

Answer:

(-1,1),( -3,2), (-3,4)

Step-by-step explanation:

Step-by-step explanation:

For a formal algebraic solution, you might do something like this....

x = 1st integer

x+2 = 2nd

x+4 = 3rd

x+6 = 4th

The sum is 328:

Then solve that equation to find x and thus find the solution to the problem.

Or, if formal algebra is not required (and you want to get the answer as fast as possible)....

The average of the four integers is 328/4 = 82; the four integers are the two odd integers either side of 82 and closest to 82 -- 79, 81, 83, and 85.

The required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

Given that,
The sum of four consecutive odd integers is 328. What are the integers is to be determined?

A number system is represented as a process of writing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
let the consecutive odd number be
2n + 1 , 2n +3, 2n + 5, 2n + 7
Whose sum is 328. So,
2n +1 + 2n + 3 + 2n + 5 + 2n +7 = 328
8n + 16 = 328
8n = 312
n = 39
Now,
2n + 1  = 39 * 2 + 1 = 79
Similarly
2n +3 = 81
2n + 5 = 83
2n + 7 = 85

Thus, the required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

Answer:

I'm sorry. I cannot explicitly give you an answer. The picture of the polygon is not provided. You may have forgotten to upload it, nevertheless, I''ll try my best to be of help to you.

Step-by-step explanation:

There are many different polygons. But the general formula to finding the perimeter of a polygon is:

P = n * l

n = number of sides

l= value shared and assigned to each side

The general formula to finding the area of a regular polygon is:

A = (n*l*apothem )/2

n = number of sides

l = length of one side

apothem = the value of the segment connecting the center of the polygon to a midpoint of one of the sides.

Hope this helps a little! You can always submit the question again with the picture and I'll be more than happy to help you. <3

Answer:

what is this equation I can't understand

Answer:

Slope of AB is undefined; slope of CD is 0; the lines are perpendicular.

Step-by-step explanation:

Slope (M) can be found with the equation M=y2-y1/x2-x1, or change in y over change in x. In this equation, finding the slope is very easily done without even using the equation, because it can be seen in AB that the x value doesn't change (showing a vertical line), and in CD the y value doesn't change (showing a horizontal value). When they intercept, they make a cross-shape, so they are perpendicular.

Step-by-step explanation:

y = y

x - 2 = 2x - 3 - 3x²

3x² + x - 2x = - 3 + 2

3x² - x = - 1

.

a = 3, b = -1, c = 0

.

[tex]\sf{x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a} }[/tex]

[tex]\sf{x = \frac{- (-1) \pm \sqrt{-1^{2} - 4 (0)} }{2(3)} }[/tex]

[tex]\sf{x = \frac{ 1 \pm \sqrt{1 - 0} }{6} }[/tex]

[tex]\sf{x = \frac{ 1 \pm \sqrt{1} }{6} }[/tex]

[tex]\sf{x = \frac{ 1 + 1 }{6} }[/tex]

[tex]\sf{x = \frac{ 2 }{6} }[/tex]

[tex]\sf{x = \frac{ 1 }{3} }[/tex]

.

Substitution :

y = x - 2

y = ⅓ - 2

y = ⅓ - 6/3

y = - 5/3

y = - 1 ⅔

.

Answer:

n = 20

Step-by-step explanation:

26n = 520

To isolate n, multiply both sides by 1/26

n = 20

-2.3w-12

Add all like terms.

(8.9w-11.2w)+(6.2-12-6.2)

Answer:

[tex]\frac{-23w}{10}[/tex]  - 12

Step-by-step explanation:

Answer:

64 i think sorry if wrong

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

Answer:

(

3

,

0

)

;

=

2

/

3

Step-by-step explanation:

Answer:

2 graphs represent a linear relationship

Step-by-step explanation:

2 out of your 3 graphs make a straight line if you were to draw a line throught the points

Answer:

x = 8

Step-by-step explanation:

Answer:

D: [-3, 1]

R: [-4, 0]

Step-by-step explanation:

The domain means what x-values you can input and get a corresponding y-value. In this case, on the graph, there are x-values from x = -3 to x = 1, and all of those have corresponding y-values. If you look at x = 2, for example, there's no y-value, so that's not in the domain. So all points from x = -3 to x = 1 are in the domain, and if we put that in interval notation, we get D: [-3, 1].

The range, similarly, is what possible y-values can come out from inputting x-values. In this case, the graph contains y-values from -4 to 0, so the range is R: [-4, 0].

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (14, 0 ) and (x₂, y₂  ) = (4, - 5 )

m = [tex]\frac{-5-0}{4-14}[/tex] = [tex]\frac{-5}{-10}[/tex] = [tex]\frac{1}{2}[/tex]

Answer: 466.56

Step-by-step explanation:

Volume = pi times radius^2 times height/3

Radius = 1/2 of the diameter

Volume = 3.24 times 6^2 times 12/3

Volume = 3.24 times 36 times 4

Volume = 116.64 times 4

Volume = 466.56

0.6)7.8/4.

Step-by-step explanation:

Divide. And you got it!

Answer:

Step-by-step explanation:

9x³ + 6x² + 4x + 5 ÷ 3x + 1 = 3x² + x + 1 rem 4

9x³ + 3x²

         3x² + 4x

         3x² + x

                  3x + 5

                  3x + 1

                          4

Answer:

a) -8/3 < 7/2

b) -5/11 > -6/11

Step-by-step explanation:

For a - Each negative number is less than a positive number.

For b- when we compare 5/11 and 6/11, it is 5/11= 0.4545... , 6/11=0.5454... The first number after (0.-) is 4 for 5/11, and 5 for 6/11. 4<5, it means that 5/11 < 6/11 , but in question they are negative, and in that situation the result will be the opposite. -5/11>-6/11

Answer:

X=1

Let me know if you need any other help

Step-by-step explanation:

1. subtract 2 from both sides

6x+2-2=9x-1-2

2. Simplify

6x=9x-3

3. Subtract 9x from both sides

6x-9x=9x-3-9x

4.simplify

-3x=-3

5.divide both sides by -3

-3/-3=-3/-3

=1

Answer:

the answer is 1

Step-by-step explanation:

i got it right, trust me.

Answer:

he had $24 in the bank

Step-by-step explanation:

the total money he withdrew was $9 plus $3

that is $12

and we were told he withdrew half of his money from the bank

that is $12

that means he had twice of $12 in the bank which is $24

Answer:

$24

Step-by-step explanation:

9+3=12 Then 12x2=24

Answer:

.3 repeating

Step-by-step explanation:

Answer:

b=-4/21

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

There is a supplementary angle, so we know that 180°-100° would give 80°.

A triangles angles add up to 180, so 80+40=120

180-120=60°

Answer:

60 degrees

Step-by-step explanation:

Hi there!

Angle NAB and angle CAB are supplementary angles, meaning they add up to 180 degrees. First, solve for angle CAB:

180 - 100 = 80

Therefore, angle CAB measures 80 degrees.

The sum of the interior angles of a triangle is always 180 degrees. Now, we can solve for angle B by subtracting 80 and 40 from 180:

180 - 80 - 40 = 60

Therefore, angle B measures 60 degrees.

Another way we can solve this is by viewing the 100-degree angle as an exterior angle of a triangle. The two opposite interior angles always add up to an exterior angle of a triangle.

100 = 40 + 60

Therefore, angle B measures 60 degrees.

I hope this helps!

Answer:

hi

Step-by-step explanation:

i think A/100 or something like that

Answer:1/6a-1/6

Step-by-step explanation:

i did it on khan academy

Answer:

y = 5

Step-by-step explanation:

y = 0x + b

5 = 0(4) + b

5 = 0 + b

5 = b