What what is this angle name and is it congruent or supplementary

Answer:

A. 11.25

Step-by-step explanation:

If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]

Therefore, the coordinate of point C = (11.25, 15.75)

The x coordinate of point C is 11.25

Answer: y = 9

Step-by-step explanation:

an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)

i used the desmos graphing calculator website to graph it

Answer:

3/20+4/19= 137/380

starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).

The probability the sum total will be 5 is 4/36.

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

The sample space for rolling two 6 sided cube is

s ={

    [tex](1,1), (1,2), (1,3), (1,4), (1,5), (1,6)\\(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)\\(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)\\(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)\\(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)\\(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)[/tex] }

⇒ [tex]n(s)=36[/tex]

The event is getting the probability that the sum total will be 5.

e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }

⇒ [tex]n(e)=4[/tex]

Thus the probability that the sum total will be 5 is

[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]

⇒ [tex]P(e)=\frac{4}{36}[/tex]

Hence we can conclude that the probability the sum total will be 5 is 4/36.

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Answer:

5 + 2x = 5x + 4

-2x             -2x

5 = 3x + 4

-4          -4

1 = 3x

Divide by 3 on both sides.

1/3 = x

Answer:

the answer is 20

Step-by-step explanation:i

hope it helps

this is the correct answer

Answer:

x= 17/5

Step-by-step explanation:

Answer:

17/5

Step-by-step explanation:

hope this helps with the work

Answer:

x=6

Step-by-step explanation:

Kindly look at the image provided below.

The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.

The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.

So ∠FHG = 1/2 ( arc FG + arc EB )

* substitute the given expressions for each angle and arc *

we would then have

15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )

We now solve for x

Step 1 multiply each side by 2

1/2 ( -2 + 12x + 16x + 10 ) *2  = ( the 2 and 1/2 cancels out )  -2 + 12x + 16x + 10

(15x - 2 )2 = 30x - 4

we now have -2 + 12x + 16x + 10 = 30x - 4

step 2 combine like terms

-2 + 10 = 8

12x + 16x = 28x

now we have 30x - 4  = 28x + 8

step 3 add 4 to each side

-4 + 4 cancels out

8 + 4 = 12

Now we have 30x = 28x + 12

step 4 subtract 28x from each side

30x - 28x = 2x

28x - 28x cancels out

now we have 2x = 12

step 5 divide each side by 2

2x / 2 = x

12 / 2 = 6

we're left with x = 6

Answer:

1/45 acres the farmer planted

Answer:

4, 2

Step-by-step explanation:

The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.

Answer: (4, 2)

Step-by-step explanation:

If you start by moving it 45 degrees counter clockwise, it will end up as

(4, -2). Then you move it one more time counter clockwise 45 degrees. T would be at (4, 2)

Answer:

they re equal their for you can divide

Step-by-step explanation:

Answer:

it's area is 1/2 b×h

1/2×7×3.8

13.3

Answer:

13.3 ft^2

Step-by-step explanation:

area = base x h / 2

A = 7 x 3.8 / 2

A = 26.6 / 2

A = 13.3 ft^2

Answer:

D

Step-by-step explanation:

The horizontal cross-sections of the prisms which is at same height as the cone should have same area.

Therefore Option D is the answer.

A cone is a three dimensional figure that has a circular horizontal structure ,  and vertically tapering up till a point.

It is given that

A Pyramid and a cone both have same volume.

Height of cone is same as Height of Pyramid .

Volume of cone = (1/3)πr²h

Volume of a pyramid =  Area of base * h

When both the volume are equated

as height is same

The Area of the base of the cone =  Area of the base of the Pyramid

The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.

Therefore Option D is the answer.

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Answer:

cos(θ) =  -3/√10

sin(θ) =   1/√10

tan(θ) =  -1/3

Step-by-step explanation:

When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

tan(θ) = y/x

Now we have the point (-3, 1), then we have:

x = -3

y = 1

√(x^2 + y^2) = √((-3)^2 + 1^2) = √10

Then we just need to replace these values in the given formulas:

cos(θ) = x/(√(x^2 + y^2)) = -3/√10

sin(θ) = y/(√(x^2 + y^2)) =  1/√10

tan(θ) = y/x = 1/-3 = -1/3

Answer:

(a) 0.0072

(b) 7.15 x 10^7

Step-by-step explanation:

Numbers less than 1 have a negative exponent

- those greater than 1 have a positive exponent.

The first part of standard form  has values between 0 and 10.

Answer:

-4, -2, 6, 10, 12

Step-by-step explanation:

The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.

The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.

The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.

The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.

The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.

The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.

Answer:

You can use the time value of money formula.

FV = PV(1 + r)^n

FV = future value

PV = present value

r = interest rate = percentage/100

n = number of compounding periods

FV = 500*(1 + 0.075)^10 = $ 1030.52

Answer:

volume = 84

Step-by-step explanation:

simple: volume = base x height

6 x 14 = 84

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

72 square units

Step-by-step explanation:

you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'

a² + a² = 12²

2a² = 144

a² = 72

a = [tex]\sqrt{72}[/tex]

[tex]\sqrt{72}[/tex] can be simplied as [tex]\sqrt{9}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{2}[/tex] which is 3·2·[tex]\sqrt{2}[/tex]

each side has a length of 6[tex]\sqrt{2}[/tex]

A = (6[tex]\sqrt{2}[/tex])² which is 6·6·2 or 72

Given:

Base length of triangle = 40 units

Height of triangle = 9 units

Length of hypotenuse of triangle = 41 units

To find:

Find the value of Tan A

Steps:

Tan of an angle is equal to the opposite length by adjacent length.

So,

Tan A = [tex]\frac{opposite}{adjacent}[/tex]

Tan A = [tex]\frac{9}{40}[/tex]

Tan A = 0.225

Therefore, the exact value of Tan A is 0.225.

Happy to help :)

If you need any help, feel free to ask

Answer:

28

Step-by-step explanation:

first u add 3 + 3 which is 6 then 6 + 4 which is 10 then 10 + 5 is 15 then 15 + 6 is 21 and finally 21 + 7 is 28

Answer: its 4

Step-by-step explanation:

Answer:

E. b + u = 21

Step-by-step explanation:

b = (bicycles)

u = (unicycles)

The Question gives you the answer.

" the number of bicycles plus the number of unicycles is 21"

*put as an equation*

b + u = 21

<3 Enjoy,

    Dea

Answer:

what is the question dudd

Answer:

46mi

Step-by-step explanation:

Its right. Sorry need the points.

Answer:

the value for x=50

Step-by-step explanation:

180=74+56+x

180=130+x

x=50