In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulate

Answer:

A is a function because if draw a line right down the middle no other dots will intercept

Step-by-step explanation:

A function is where one input has only one out put

As you can tell in the table(c) -3 is repeated that's what makes it not a function.same for B since there are more than one inputs it's not a function

Hope this helps!

Answer:

[tex]\hat{y}=309,552.15 + 1.31x[/tex]

Step-by-step explanation:

The equation for the least-squares regression is,

[tex]\hat{y}=a+bx[/tex]

where b is the slope and a is the intercept.

They can be found out by,

[tex]b=r\cdot \dfrac{SD_y}{SD_x},\\\\a=\overline{y}-b\overline{x}[/tex]

where,

r = correlation coefficient = 0.84

[tex]SD_y[/tex] = standard deviation of y = 44,910

[tex]SD_x[/tex] = standard deviation of x = 28,803

[tex]\overline{y}[/tex] = mean of y = 774,140

[tex]\overline{x}[/tex] = mean of x = 354,718

Putting the values,

[tex]b=0.84\cdot \dfrac{44910}{28803}=1.309\approx 1.31[/tex]

[tex]a=774140-(1.31\times 354718)\approx 309,552.15[/tex]

Therefore the equation is,

[tex]\hat{y}=309,552.15 + 1.31x[/tex]

Answer:

False

Step-by-step explanation:

The sum of the interior angles of a regular polygon is  (n – 2)180  where n is the number of sides.   Since this is a 10 sided figure,

the sum of the interior angles is (10-2)* 180 =1440

Answer: 74

Step-by-step explanation:

x = 4:30 - 3:00

  = 1:30

  = 1.5 hours

y = -5.9x² + 39x + 2.2

  = -5.9(1.5)² + 39(1.5) + 2.2

  = -5.9(2.25) + 58.5  + 2.2

  = 13.275 + 60.7

  = 73.975

Answer: 47

Step-by-step explanation:

x = 4:30 - 3:00

  = 1:30

  = 1.5 hours

y = -5.9x² + 39x + 2.2

  = -5.9(1.5)² + 39(1.5) + 2.2

  = -5.9(2.25) + 58.5  + 2.2

  = -13.275 + 60.7

  = 47.425

Answer:



Step-by-step explanation:

Let x represent the number of buttons on shirts and y represent the number of buttons on jackets.

If 36 shirts and 42 jackets contain 842 buttons. This implies:

36x + 42y = 842 (1)

If 66 shirts and 77 jackets contain 137 buttons. This implies:

66x + 77y = 137 (2)

If you take the first equation: 36x + 42y = 842 and isolate the x, then you will have x = (842 - 42y) / 36

If you substitute x into the second equation:

66((842-42y)/36) + 77y = 137

→ 11(842-42y)/6 + 77y = 137

→ 11(842-42y) + 6(77y) = 137(6)

→ 9262 - 462y + 462y = 822

→ 9262 = 822 which reveals that the equations do not have a solution

Answer:

A) x²/9 -y²/4 = 1

Step-by-step explanation:

The distance from center to one vertex is half the difference of the distances from a point to either focus. That is, the distance from center to the vertex is 3 on the x-axis, so the x-term is (x/3)² = x²/9.

In the picture, ...

... c² = a² + b²

The problem statement tells us c = √13, so we know c² = 13. Then ...

... b² = c² - a² = 13 -9 = 4

and the y-term is y²/4.

Thus, the equation is ...

... x²/9 - y²/4 = 1

_____

You knew that was the correct choice as soon as you knew the x-term.

Answer:

s = 65/3 pi

Step-by-step explanation:

The length of the intercepted arc is given by the formula

s =r*theta  when theta is given in radians

r = 13

theta = 5 pi/3

Substituting what we know

s = 13 * 5 pi/3

s = 65/3 pi

Since we want an exact answer, we have to leave it in terms of pi and as a fraction

Answer: (A) degree of 2; 1 ± i√7

Step-by-step explanation:

Degree of the polynomial designates the number of roots.

x² - 2x + 8

a=1  b=-2 c=8

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

  [tex]=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(8)}}{2(1)}[/tex]

  [tex]=\dfrac{2\pm\sqrt{4-32}}{2}[/tex]

  [tex]=\dfrac{2\pm\sqrt{-28}}{2}[/tex]

  [tex]=\dfrac{2\pm2i\sqrt{7}}{2}[/tex]

  [tex]=\dfrac{2(1\pm\\i\sqrt7)}{2}[/tex]

  = 1 ± i√7

Answer:

A and B

Step-by-step explanation:

assuming the function should be

- [tex]3^{x-1}[/tex] + 2, then

A

substitute the x value into f(x) and check the validity of the y- value

f(4) = - [tex]3^{3}[/tex] + 2 = - 27 + 2 = - 25 ← agrees with y value

(4, - 25) lies on the graph

B f(1) = - [tex]3^{0}[/tex] + 2 = - 1 + 2 = 1 ← agrees with y value

(1, 1) lies on the graph

C

f(- 1) = - [tex]3^{-2}[/tex] + 2 = - [tex]\frac{1}{9}[/tex] + 2 ≠ 2

(- 1, 2) does not lie on the graph

D

f(0) = [tex]3^{-1}[/tex] + 2 = - [tex]\frac{1}{3}[/tex] + 2 ≠ 0

(0, 0) does not lie on the graph

Answer:

Number of ripe mangoes were sold as 132

Step-by-step explanation:

Let's assume number of rip mangoes were sold as 'x'

A store manager ordered 28 crates of mangoes

Number of crates =28

There were 36 mangoes in each crate

Number of mangoes in each crate=36

Total number of mangoes=( Number of crates)*(Number of mangoes in each crate)

Total number of mangoes is

[tex]=28\times 36[/tex]

[tex]=1008[/tex]

WHEN the mangoes were delivered

he sold the ripe mangoes and repacked the rest equally into 73 boxes

There were 12 mangoes in each box

Total number of mangoes is

[tex]=73\times 12+x[/tex]

[tex]=876+x[/tex]

now, we can set them equal

[tex]1008=876+x[/tex]

[tex]x=132[/tex]

To find the number of ripe mangoes sold, multiply the number of crates by the number of mangoes in each crate. Then, multiply the number of boxes by the number of mangoes in each box. Finally, subtract the number of mangoes repacked into boxes from the total number of mangoes delivered.

To find the number of ripe mangoes sold, we need to determine the total number of mangoes delivered and then subtract the number of mangoes repacked into boxes.

First, we find the total number of mangoes delivered by multiplying the number of crates (28) by the number of mangoes in each crate (36): 28 crates * 36 mangoes/crate = 1008 mangoes

Next, we find the number of mangoes repacked into boxes by multiplying the number of boxes (73) by the number of mangoes in each box (12): 73 boxes * 12 mangoes/box = 876 mangoes

Finally, we subtract the number of mangoes repacked into boxes from the total number of mangoes delivered to find the number of ripe mangoes sold: 1008 mangoes - 876 mangoes = 132 ripe mangoes

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Answer:

answer 7.3

13x-7+11x+11=180

Step-by-step explanation:

Answer:

If A is multiplied by 3, B will be reduced by a factor [tex]\frac{1}{\sqrt{3}}[/tex]

Step-by-step explanation:

Writing the inverse proportionality relationship and expressing the dependence of B on A leads to the following:

[tex]A = \frac{1}{B^2}\implies |B| = \frac{1}{\sqrt{A}}\\B'=\frac{1}{\sqrt{3A}}= \frac{1}{\sqrt{3}}\frac{1}{\sqrt{A}}=\frac{1}{\sqrt{3}}|B|[/tex]

In words, if A triples, B will decrease by a factor [tex]\frac{1}{\sqrt{3}}[/tex], or, in other words, the square of B will decrease to one third of its previous value.

Answer:1/12

Step-by-step explanation:1/3-1/4=1/12

Answer: x - 2y = -12

Step-by-step explanation:

[tex]y - 3 = \dfrac{1}{2} (x+6)\\2(y - 3) = (2)\dfrac{1}{2}(x + 6)\\2y - 6 = x + 6\\\underline{-x +6}\quad\underline{-x + 6}\\-x + 2y = 12\\-1(-x + 2y = 12)\\x - 2y = -12[/tex]

ANSWER:

-1/2x + y = 6

ABOUT POINT SLOPE FORM:

ABOUT STANDARD FORM:

y - 3 = 1/2 (x + 6)

y - 3 = 1/2x + 3

 + 3            + 3

y = 1/2x + 6

-1/2x   -1/2x

-1/2x + y = 6

I'm not sure if my answer is correct... But please tell me if it's correct or incorrect! Thank you! :)

Answer:

y=-37

Step-by-step explanation:

A perpendicular line has a negative reciprocal slope to the original line. We will use the slope formula to find the slope of line m, then take the negative reciprocal for the slope of line n which will reveal the value of y.

Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute [tex]x_1=6\\y_1=8[/tex] and [tex]x_2=-1\\y_2=2[/tex]

[tex]m=\frac{2-8}{-1-6}[/tex]

[tex]m=\frac{2-8}{-1-6}=\frac{-6}{-7} =\frac{6}{7}[/tex]

[tex]m\neq \frac{6}{7}[/tex] for line n because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is [tex]m=-\frac{7}{6}[/tex].

We will substitute [tex]m=-\frac{7}{6}[/tex] into the slope formula to find line n's coordinate value y. We will also substitute [tex]x_1=-1\\y_1=5[/tex] and  [tex]x_2=5\\y_2=y[/tex] .

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]-\frac{7}{6}=\frac{y-5}{5-(-1)}[/tex]

[tex]-\frac{7}{6}=\frac{y-5}{6)}[/tex]

[tex]6(-\frac{7}{6})=y-5[/tex]

[tex]-42+5=y-5+5[/tex]

[tex]-37=y[/tex]

The value of y that makes Line n perpendicular to Line m is 59/6. This is found by first calculating the slope of Line m and then finding the negative reciprocal (since perpendicular lines have negative reciprocal slopes), and using this new slope to solve for y in Line n.

To solve this problem, we first need to understand that the slopes of two perpendicular lines are negative reciprocals of each other. This means that if Line m has a slope of a, then Line n will have a slope of -1/a.

First, let's find the slope of line m which contains the points (6,8) and (-1,2). The formula for slope is (y2-y1)/(x2-x1). This gives us (2-8)/(-1-6) = -6/-7 = 6/7.

Because line n is perpendicular to line m, its slope will be the negative reciprocal of 6/7, which is -7/6. We can then use this slope and the point (-1,5) to find the value of y when x=5 on line n. We use the equation y-y1 = m(x-x1), and substitute the values in: y - 5 = -7/6 * (5 - (-1)), which simplifies to y = -7 + 5 + 35/6 = 29/6 + 30/6 = 59/6.

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Answer:

1/4

Step-by-step explanation:

We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(2, 5), B(6, 10) and C(9, −1) to the image triangle A'B'C' with vertices A' (0.5, 1.25), B' (1.5, 2.5), C' (2.25, −0.25).

Center of dilation is at the origin.

To find the scale factor, we will divide the corresponding vertices of the image and pre-image.

A(2, 5) ---> A' (0.5, 1.25) = [tex]\frac{0.5}{2} , \frac{1.25}{5}=(\frac{1}{4} , \frac{1}{4})[/tex]

B(6, 10) ---> B' (1.5, 2.5) = [tex]\frac{1.5}{6} , \frac{2.5}{10}=(\frac{1}{4} , \frac{1}{4})[/tex]

C(9, −1) ---> C' (2.25, −0.25) = [tex]\frac{2.25}{9} , \frac{-0.25}{-1}=(\frac{1}{4} , \frac{1}{4})[/tex]

Therefore, the scale factor of the dilation is 1/4.

The scale factor of the dilation that maps triangle ABC to triangle A'B'C' is determined by calculating the ratio of the coordinates of corresponding vertices. The scale factor for this transformation is 0.25.

The student is asking how to find the scale factor of a dilation when given the coordinates of the vertices of a triangle before and after the transformation. To determine the scale factor, you need to compare the corresponding sides or coordinates of the pre-image and the image. Below is the step-by-step explanation:

Therefore, the scale factor for the dilation that maps the pre-image to the image is 0.25.

Answer:

6

Step-by-step explanation:

sqrt (36)

Lets break this into parts

sqrt(4 * 9)

sqrt(4)  * sqrt(9)

2 * 3

6

It looks like a 90º rotation

Answer:

90 egress

Step-by-step explanation:

Answer:

He needs to walk the dog 3 times as 3 times 4 = $12

Step-by-step explanation:

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿  Sum of the Roots : α + β [tex]\mathsf{= \frac{-b}{a}}[/tex]

✿  Product of the Roots : αβ [tex]\mathsf{= \frac{c}{a}}[/tex]

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots [tex]\mathsf{: (6 + 3) = \frac{-b}{4}}[/tex]

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots [tex]\mathsf{: (6 \times 3) = \frac{c}{4}}[/tex]

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

Answer:

After giving 197 cards away, Jenson is left with 361 cards

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

To find the distance between two points, we use the formula

d =sqrt( (x2-x1)^2 + (y2-y1)^2)

d= sqrt((2--6)^2+(5--10)^2 )

d= sqrt((2+6)^2+(5+10)^2 )

d = sqrt(8^2 + 15^2)

d = sqrt(64+225)

d =sqrt(289)

d =17

Answer:

$24.5

Step-by-step explanation:

Let x be the cost of sweater before markup.

We are told that Dan paid $34.30 for a sweater the price included a 40% markup. This means x plus 40% of x equals 34.30.

We can represent this information as:

[tex]x+\frac{40}{100}x=34.30[/tex]

[tex]x+0.40x=34.30[/tex]

[tex]1.40x=34.30[/tex]

[tex]x=\frac{34.30}{1.40}[/tex]

[tex]x=24.5[/tex]

Therefore, the cost of sweater before the markup was $24.5.

Calculate your speed per kilometer, by dividing the known time by the distance already ran:

12 minutes /  2 kilometers = 6 minutes per kilometer.

Now multiply the time for 1 by the total distance:

6 minutes per kilometer x 5 kilometers = 30 minutes total.

Answer: D.(5, -8)

Step-by-step explanation:

(Multiply by -1)-8x-7y=16

10x+7y=-6

2x=10

X=5

(Subsitite 5 into one) 10(5)+7y=-6

50+7y=-6

7y=-56

Y=-8

Final answer:

To solve the system using elimination, subtract the first equation from the second to find x=5, then substitute x back into one of the original equations to find y=-8. The solution is (5, -8).

Explanation:

To solve the system of equations using elimination, we look at the given pairs:

We can eliminate the y-variable by subtracting the first equation from the second

Divide both sides by 2:

Now that we have x, we can substitute it back into either of the original equations to find y. Let's use the first equation:

Divide both sides by 7:

Therefore, the solution to the system of equations is (5, -8), which corresponds with answer choice D.

Answer:

Step-by-step explanation:

First you need to divide by the amount he needs by the amount he gets, 352 divided by 8. That equals 44, so he will need to work 44 hours to reach his goal.

Answer:

y= -2/3x(m) +400(b)

Step-by-step explanation:

1.2x + 3y = 1200

3y = -2x + 1200

y = (-2x/3)x + 1200/3  

the slope is -2/3x the y intercept is 400

2.I would plot the ordered pair (0, 400) on the coordinate plane. Then to find the other ordered pair you would use the slope (-2, 3). You should go two spaces to the right of (0, 400) and then three spaces down. After this your slope look like (-2, 397)

3.the function t(x) gives the number of tablets, given that x smart-phones have been sold/produced  

t(x) = (-2/3)x + 400  

Suppose in the next month, the total profit on smart phone cases and tablet cases is $1,500. The profit amounts are the same, $2 for smart phone case and $3 for the tablet case. In a paragraph of at least three sentences, explain how the graphs of the functions for the two months are the same and how they are different. Be sure to use complete sentences.

They would be similar because the slope would stay the same. The slope would stay the same, because the prices remain the same. They would be different because their y intercept would change

4.F (x) = mx + b

F (x) = mx + 300

F (x) = 6/9x + 300

F (x) = 2/3x + 300

i dont really have clue about how to do next

Answer:

After lunch, the family traveled at a speed of 45 mph is the only solution that makes sense when simplifying d(h)=50+45H

Step-by-step explanation:

Answer: After lunch the family drove 45 miles per hr. HOPE THIS HELPS!

Answer: 3/10 watts

Step-by-step explanation:

3/5 converts to 6/10

6/10 / 2 = 3/10

Answer:

3/10

Step-by-step explanation:

3/5 converts to 6/10

6/10 / 2 = 3/10