In quadrilateral HJKL shown below, point J can be mapped to point K by a 46 counterclockwise rotation about point H, and point K can be mapped to point L by a 72 counterclockwise rotation about point H.
Explain why HJ must be congruent to HL.
Determine the measure of HJL

Answer:

A,

use inverse operations

Answer:

x=21

Step-by-step explanation:

x/-7=3

[tex]\frac{x}{-7}[/tex](-7) = -3(-7)

x=21

Answer:

21

Step-by-step explanation:

x/-7 = -3

x = -3 . -7

x = 21

Answer:

b = (9 - 12c)/5 OR b = 9/5 - 12c/5

Step-by-step explanation:

5b + 12c = 9

Subtract 12c from both sides.

5b = 9 - 12c

Divide both sides by 5.

b = (9 - 12c)/5.

Answer:

The boys play more sports.

Step-by-step explanation:

convert percents to decimals (division of 100)

0.53 x 300 = 159 girls

0.39 x 500 = 195 boys

Answer:

5

Step-by-step explanation:

Definition of term:

        A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

                 6w- 3x+9y- 8z+ 12​

                                   \/

6w          - 3x        +9y          - 8z          + 12​

                         Hope this helps, have a nice day! :D

Answer is: you tell me

Step-by-step explanation: haaaaaaaaaaaaaaaaa

Answer:

320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.

When dividing 320 into 8 equal groups, each group would contain 40.

We have to divide 320 into 8 equal groups.

Performing the division as

            8 | 320 | 40

                  320

             -_______

                  0

So, 320 ÷ 8 = 40

Therefore, when dividing 320 into 8 equal groups, each group would contain 40.

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Answer:

y  =  −  x

The equation is given by

y  =  m  x  +  n  since  m  =  −  1  we get  y  =  −  x  +  n

the line passes Point  P  (  0  ;  0  )  so we get  n  =  0

Step-by-step explanation:

Answer:

If the null hypothesis is rejected at a 1% significance level, then Multiple Choice the alternative hypothesis will be rejected at a 5% significance level

Step-by-step explanation:

The null hypothesis will not be rejected at a 5% significance level the alternative hypothesis will not be rejected at a 5% significance level O the null hypothesis will be rejected at a 5% significance level

Answer:

Area refers to the space occupied by a shape or an object or a surface. Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface. Area is measured in square units.

Answer:

Perimeter :the continuous line forming the boundary of a closed geometrical figure.

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

Answer: m=4x+3-6

Step-by-step explanation: This is most likely wrong but it's the best I have, hope it helps!

Hello there! :)

Point-Slope Form:

y-y1=m(x-x1)

y1=6

x1=-6

m=4/3

Plug in the values:

y-6=4/3(x-(-6)

y-6=4/3(x+6)

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature[/tex] here to help

Answer:

f(7) = 11

Step-by-step explanation:

Given the linear function, f(x) = 2x - 3:  

In order to find the value of f(7), simply substitute the value of the input, x = 7 into the function:

f(x) = 2x - 3

f(7) = 2(7) - 3

f(7) = 14 - 3

f(7) = 11

Therefore, the value of f(x) when x = 7 is:

Answers:

one small box = 30 pounds

one large box = 40 pounds

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

Work Shown:

S+L = 70 since the two boxes combine to 70 pounds.

70S = weight of 70 small boxes

50L = weight of 50 large boxes

70S+50L = weight of 70 small and 50 large

70S+50L = 4100

The system of equations is

[tex]\begin{cases}S+L = 70\\70S+50L = 4100\end{cases}[/tex]

There are a few ways to solve this system. I'll use substitution.

I'm going to isolate L in the first equation like so

S+L = 70

L = 70-S

Which I'll then plug into the other equation to solve for S

70S+50L = 4100

70S+50(70-S) = 4100

70S+3500-50S = 4100

20S+3500 = 4100

20S = 4100-3500

20S = 600

S = 600/20

S = 30

Each small box is 30 pounds.

Use this value of S to find L

L = 70-S

L = 70-30

L = 40

Each large box is 40 pounds.

Like we expect, each large box weighs more compared to any given small box.

------------------

Check:

Both equations are true for the ordered pair (S,L) = (30,40). Therefore, the answers have been confirmed.

Answer:

well instead of being the value of 50 it would be the value of 5.

Step-by-step explanation:

It's being moved to the ones place

Answer:

it would be 5, if it moves to the right it takes the place of the 6

Answer:

Hello!

Judging by the question you have provided I have come up with the correct solution:

y=25x+175

Step-by-step explanation:

The way I came up with the solution is by understanding how to write the correct equation using the correct variables in the correct places.

In the equation y=mx+b, the variable "b" will always be an independent variable.

The independent variable of Candace equation is "175 gallons". This is because this amount does not change throughout the entire equation.

Next, the variable "m" will always be a dependent variable.

The dependent variable of the Candace equation is "25 gallons". This is because this variable is effected by "x amount of hours".

So when you input these given variables in the correct places you get:

y=25x+175

Answer:

20°

Step-by-step explanation:

If it's an isosceles triangle, the two remaining angles should be equal. (Angles opposite to equal sides are equal)

∴ one remaining angle = (180° - 140°)/2

                                      = 40° / 2

                                      = 20°

Answer:

12

Step-by-step explanation:

Answer:

Area of the rectangle is [tex]6u^{2}[/tex]

How to find area of rectangle if the vertices are given:

Let the vertices be or the given vertices:

A [0,-4]

B [-1,-3]

C [2,0]

D [3,-1]

Area of rectangle is twice the area of triangle, i.e. if the area of rectangle is ABCD and area of triangle is ABC.

Area of triangle is given by determinant:

Area of triangle = 1/2 [x1, y1]

                              1/2 [x2, y2]

                              1/2 [x3, y3]

                              1/2 [x4,y4]

Putting all the values in this format we  will get :

Area of triangle = 1/2 [0×-4]

                              [-1×-3]

                               [2×0]

Because we have assume 0 as x1 and -4 as y2

-1 as x2 and -3 as y2

2 as x3 and 0 as y3

By solving that equation we will get:

1/2[ −4 0 1]

[−3,1,1]

[0,−2,1]

=1/2(−4⋅(1⋅1+1⋅2)−0+1⋅(6−0))

=1/2|-6|= [tex]3u^{2}[/tex]

= -3=[tex]3u^{2}[/tex]

= [tex]6u^{2}[/tex]

In a two-dimensional plane, a triangle's area is the space it encloses. Known for having three sides and three vertices, a triangle is a closed shape. The sum of the spaces occupied by a triangle's three sides is known as its area. Half of the product of a triangle's base and height is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square meters as the standard unit (m2). There are already established formulas for calculating the area of squares, rectangles, circles, triangles, etc.

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As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

Answer:

The inverse of f is [tex]f^{-1}[/tex] =  (x -2)/4  

Step-by-step explanation:

To find the inverse of f(x) = 4x + 2 , interchange the variables and solve for y.

   Rewrite f(x) = 4x + 2  as  x = 4y + 2  then solve for y

                                             x -2 = 4y

                                           (x - 2)/4 = y  

Answer:

9 cups

Step-by-step explanation:

We can write a ratio to solve

5 cups                     x cups

------------            = ----------------

80 cookies            144 cookies

Using cross products

5 * 144 = 80x

720 = 80x

Divide by 80

720/80 = 80x/80

9=x

Answer:

7 1/5 cups of flour to mae 144 cookies

Step-by-step explanation:

80/5 = 20 cookies per cup of flour

so 20x7 = 140 and then you still need four more so take the four and another cup of flour and divide the 20 by 4 then you get 5 thus you 7 and 1/5ths cups

Answer:

the awnser is 14

Step-by-step explanation:

Answer:

sell 48 tickets at the door.

Step-by-step explanation:

5x+4(40)≥400

1. Distribution; 5x+160≥400

2. Subtract 160 from both sides; 5x+160-160≥400-160

3. you are left with; 5x≥240

4. divide 5 from both sides; 5x/5≥240/5

5. you are left with; x ≥ 48

Meaning; they need to sell 48 or more tickets at the door to reach their goal of $400.

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Answer:

. bd s solicitarlo

Step-by-step explanation:

.

supuestamente

Answer:

x=4 and y=2

Step-by-step explanation:

Fatima's claim is not supported by the table because, the distribution is skewed right, with a median of 0.4 field goal advantage.

From the table, the median position is calculated as:

[tex]\mathbf{Median = \frac{1}{5} th}[/tex]

[tex]\mathbf{Median = 0.2\ nd }[/tex]

The 0.2nd data falls in the 0.4 field goal category.

So, the median element is:

[tex]\mathbf{Median = 0.4}[/tex]

However, the distribution of the table are concentrated on the left.

This means that, the distribution is not uniform, instead it is skewed right.

A uniform distribution has a skewness of 0.

Hence, Fatima's claim is not supported by the table

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Answer:

Assuming the "pay increase" is $/hr: p = 9.25 + 0.90y

Step-by-step explanation:

p = 9.25 + 0.90y : The 9.25 is for year (y)=0[the starting hourly wage]. 0.90 is added each year, starting with y=1. Each addirtional year add one more 0.90 to his starting wage.

Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

Answer:

Step-by-step explanation:

x + 60° = 180° ( interior angles )

[tex]x + {60}^{o} = {180}^{o} \\ x = {180}^{o} - {60}^{o} \\ x = {120}^{o} \\ [/tex]

x = z ( opposite angles )

z = 120°

y + 25° + 120° = 180°

(The sum of all interior angles of any triangle is equal to 180°)

[tex]y + {25}^{o} + {120}^{o} = {180}^{o} \\ y + {145}^{o} = {180}^{o} \\ y = {180}^{o} - {145}^{o} \\ y = {35}^{o} \\ [/tex]

The value of y in the given figure is (b) 35°

Since m||n, hence:

a + 60 = 180 (sum of consecutive interior angles formed by two parallel lines are supplementary)

a + 60 = 180

a = 120°

a = b (vertical opposite angles are congruent to each other)

120 = b

b = 120°

y + 25 + b = 180 (sum of angles in a triangle)

y + 25 + 120 = 180

y + 145 = 180

y = 35°

Hence the value of y is (b) 35°

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