Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

Answer

[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

0, 1

Step-by-step explanation:

The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.

Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.

Answer:

x = -8  x=1

Step-by-step explanation:

x^2 +7x = 8

Subtract 8 from each side

x^2 +7x -8 =0

Factor

What 2 numbers multiply to -8 and add to 7

8*-1 = -8

8+-1 = 7

(x+8)(x-1) =0

Using the zero product property

x+8 =0  x-1 =0

x = -8  x=1

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  [tex]mm^2[/tex]

The surface area of the triangular prism is 55.5,127.5,135,or 150  [tex]mm^2[/tex]

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]

(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]

The dimensions of the lateral rectangles are:

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]

Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Answer:

A....2

B....3

C.....7.5

D......135

Step-by-step explanation:

f(x)=(x-1)(x+2)(x-2) over all it equals to zero

Answer:

(x-1) (x-2) (x+2)

Step-by-step explanation:

1. Factorice x^2 y -4 de la expresion.

x^2(x-1) -4(x-1)

2. Luego, debemos de factorizar x-1 de la expresion.

(x-1)(x^2 -4)

3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.

(x-1) (x-2) (x+2)

Answer:

Right rectangular prism

A=2(wl+hl+hw)

l Length

w Width

h Height

Answer:

3n-5=8n+4

Step-by-step explanation:

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

Answer:

15

Step-by-step explanation:

Answer:

282.6 ft

Step-by-step explanation:

First you must figure out how far the elevator drops in three seconds.

To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4

now you subtract 17.4 from 300 to get 282.6 ft

Answer:

+18

Step-by-step explanation:

A gain is a positive number

+18

Answer:

+18

Step-by-step explanation:

Neg = Drop

Pos = Gain

Gain so +

+18

Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

Answer:

9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.

the larger Area will be 9 square inch.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.

So, we need 9 of the 1 inch squares to cover the 3 inch square.

The area of the larger square can be found by squaring the length of one of its sides.

Since the side length of the 3 inch square is 3 inches, the area of the larger square is:

Area = (side length)² = 3² = 9 square inches

Therefore, the larger Area will be 9 square inch.

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Step-by-step explanation:

2a+b is just greater than 2b with a

========================================================

Explanation:

For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.

If we try choice A, then we plug in x = 2 and y = -1 to get

-5x-9y = -8

-5(2)-9(-1) = -8

-10+9 = -8

-1 = -8 which is false

So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.

You'll find a similar situation happens with choices B and D. They don't work either.

-------

Choice C works because...

-5x-9y = -8

-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2

10-18 = -8

-8 = -8

We get a true equation. So (-2,2) has been confirmed to be a solution.

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

Answer:

Independent variable is tickets.

Dependent variable is cost(dollars).

Step-by-step explanation:

Dependent variable depends on independent variable.

In this question, the total amount deoend on number of ticket bought. As number of tickets increases, the total cost will also increase.

k = 13The smallest zero or root is x = -10

===============================

Steps:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Please mark brainliest

Hope this helps.

Answer:

66

Step-by-step explanation:

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

Answer:

1 & 9

Step-by-step explanation:

I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.

Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)

Answer:

x^4-9x²+1

Work:

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]

Now, we can multiply each side by 60, which will remove the fractions

[tex]30x-12=20x+15[/tex]

Now we can add 12 to each side

[tex]30x=20x+27[/tex]

Now subtract 20x from each side

[tex]10x=27[/tex]

And lastly, divide each side by 10

[tex]x=\frac{27}{10}[/tex]

Answer:

6/13

Step-by-step explanation:

There are 13 marbles total in the bag.

The chance of picking a green marble is 6/13. This fraction cannot be simplified.

Answer:

[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]

Step-by-step explanation:

Given (as shown in graph):

The results of rolling a number cube (a die) 50 times.

Rolling 1: 10 times

Rolling 2: 4 times

Rolling 3: 8 times

Rolling 4: 11 times

Rolling 5: 8 times

Rolling 6: 9 times

Solve for:

The probability of rolling an odd number (1, 3, 5).

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.

According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).

=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%

2) Experimentally, apply the formula in step 1, we have:

The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26

The total number of rolling: 50

=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%

Hope this helps!

:)

Answer:

^ That is correct guys

Step-by-step explanation:

GOOD LUCK

Answer:

(f • g)(x) = x² - 6x + 7

Step-by-step explanation:

Suppose

f(x) = x² - 2

g(x) = x - 3

Determine

(f • g)(x) = ...

We can compose the functions by doing the following

(f • g)(x) = f(g(x))

(f • g)(x) = f(x - 3)

(f • g)(x) = (x - 3)² - 2

(f • g)(x) = x² - 6x + 9 - 2

(f • g)(x) = x² - 6x + 7

I hope this helps!

Answer:

I think it's A) bro,

Step-by-step explanation:

on the test write now soooo...

Answer: m=-4

Step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

Answer: m= -4

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.

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Answer:

Complementary angles.

Step-by-step explanation:

Complimentary angles means sum of angles = 90°

Supplementary angles of linear pair means sum of pair of angles = 180°

As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,

a + b = 90°

Angles 'a' and 'b' will be complementary angles.

Answer:

its a

Step-by-step explanation:

the slope goes from point a to , in this case is subtracting -.05

Answer:

its A - 0.05

Step-by-step explanation:

edge 2020!

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