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:

He saves £135 each week

Step-by-step explanation:

He spends 2/5 of his wage on food

2/5x450=£180

He spends 180£ on food each week

30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills

so his total expenditure is 135+180= £315

he saves the rest which is £135.

thus, your answer is £135

Answer:

(2d +7y) cm

Step-by-step explanation:

length of rope= 1st part +2nd part +3rd part

1st part= 2d

2nd part= d +2y

3rd part

= 2nd part +3y -2d

= d +2y +3y -2d

= 5y -d

Thus, length of rope

= 2d +d +2y +5y -d

= (2d +7y) cm

Answer:

C) 9

f(0) +g(1) = 5 +4 =9

F(2) = -2 + 5 =3

Step-by-step explanation:

Given f(x) = -x + 5

      g(x) = 2 x + 2

Put x=0 in f(x) = -x +5

                f(0) = -0 +5 =5

             g(x) = 2 x + 2

Put x= 1

             g(1) = 2(1) +2

             g(1) = 4

f(0) +g(1) = 5 +4 =9

b) f(x) = -x +5

put x = 2

F(2) = -2 + 5 =3

Answer:

n²+6n

Step-by-step explanation:

n(6 + n) = 6n+n²= n²+6n

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

Answer:

3383361889.8

Step-by-step explanation:

1 meter = 39.3701 inches

85937392 x 39.3701 = 3383361889.8

Answer:

3,383,361,889.76 inches

Step-by-step explanation:

1 meter = 39.37 inches

multiply 85937392 by 39.37

answer is 3383361889.76

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

Answer:

9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, substituting it in the expression above we have :

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 44.4 -19.2 = 25.2

y = 25.2 / 2.8 = 9

Answer:

y=9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, y=?

Answer:

C

Step-by-step explanation:

If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!

Answer:

(a) 12:5

(b)12:7

Step-by-step explanation:

HOPE i helped!

Answer:

2^2x3x5

Step-by-step explanation:

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

Answer:

Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.

Step-by-step explanation:

Using the Pythagorean Theorem you say:

AB²=AC²+CB²

AB²=12²+5²

AB²=144+25

AB²=169

AB=√169

AB= 13

Answer:

[tex]31.5\pi[/tex]

Step-by-step explanation:

Using the formula given, you can find that the surface area of the glass is:

[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]

Hope this helps!

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)

Answer:

C. line d

Step-by-step explanation:

Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.

In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.

Answer:

C. Line D

Step-by-step explanation:

Just took the test and got it right

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

Answer:

Step-by-step explanation:

So I am hoping this is right....

you would take 3790/579

rounded to the thousandths place would be 6.546 rounded

this would be part to whole

so as part to whole for every 100 people 6.546 shop at the local farmers market

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

Answer:

7

Step-by-step explanation:

So I started with an equation (g for green variable, y for yellow variable, b for blue variable)

8g + 5y + 8b = ??

Because of the lack of variables, I'm not really sure how to tie in the 50%, 20%, and 30%. (It could be unnecessary information)

But going off the average number of items, you have 8 green, 5 yellow, and 8 blue. So you can add them together for 21. From here, you divide 21 by 3 to get your average, 7.

Answer:hmm

Step-by-step explanation:

Answer:

Sabemos que:

[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]

y tenemos que:

[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

Answer:

[tex]A=81\pi $ m^2[/tex]

Step-by-step explanation:

Circumference of the column [tex]=18\pi $ meters[/tex]

Circumference of a circle[tex]=2\pi r[/tex]

Therefore:

[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]

Area of a Circle [tex]=\pi r^2[/tex]

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

[tex]=\pi *9^2\\=81\pi $ m^2[/tex]

Answer:

81pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope it helps

Answer: D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.  

For example let's say you have a right angle with side lengths  3,4 and 5.

5 in this case has to be always the hypotenuse.

A could be either 3 or 4  but not 5

And  B could also be 3 or 4 but not 5  

because A squared plus B squared is always equal to the hypotenuse which is 5.

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25  

Answer:

D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

Answer:

2V130 , 8V2

Step-by-step explanation:

If these are cahetus

x^2=14^2+18^2=196+324=520

x=V520=2V130

if 18 is not a cathetus  then

18^2=x^2+14^2

x^2=18^2-14^2

x^2=324-196=128

x=V128

x=8V2

Answer:

x=12

x=6

Step-by-step explanation:

15-(3)=12

9-(3)=6

Answer:

15-x is 12

9-x is 6

Step-by-step explanation:

Find the exact value using trigonometric identities.

Answer:

Step-by-step explanation:

6x^5 - 12x^4 + 9x^3

(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5