Which segment is a reflection of segment AB over the line x = 1?


Line segment C D
Line segment E F
Line segment G H
Line segment I J

Answers

Answer 1

The reflection of segment AB over the line x = 1, will be the line segment EF. Then the correct option is B.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

The line segment AB is given.

Then the reflection of segment AB over the line x = 1, will be the line segment EF.

Then the correct option is B.

The missing diagram is given below.

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Which Segment Is A Reflection Of Segment AB Over The Line X = 1?Line Segment C DLine Segment E FLine
Which Segment Is A Reflection Of Segment AB Over The Line X = 1?Line Segment C DLine Segment E FLine
Answer 2

Answer:

its B

Step-by-step explanation:

Reflecting a Line Segment Across the X-axis or Y-axis

Step 1: Identify the endpoints of the line segment.

Step 2: Reflect the endpoints of the line segment.

Step 3: Connect the reflected endpoints in a straight line to form the reflected line segment.

A reflection across line moves each point to such that line is the perpendicular bisector of the segment connecting

Which Segment Is A Reflection Of Segment AB Over The Line X = 1?Line Segment C DLine Segment E FLine

Related Questions

Please help with this!!!!

Answers

Answer:

1)

Let the number of guests = x

∴ Pin hall total charge = 500 + 15x

Bloom place total charge = 350 + 18x

2)

The charges are equal.

∴  500 + 15x = 350 + 18x

⇒ 150 = 3x

⇒ 50 = x

x = 50

This means that the charges for both halls will be equal when there are 50 guests.

In the formula V = s²h, if s is doubled and
h tripled, then V multiplied by

Answers

This shows that if s is doubled and h tripled, then V multiplied by 12

Volume of a cuboid

Given the formula below expressed as:

V = s²h

If s is doubled and h tripled, the new volume will ne:

V1 = (2s)² * 3h

V2 = 4s² * 3h

V2 = 12s²h

V2 = 12V

This shows that if s is doubled and h tripled, then V multiplied by 12

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500 soldiers in a fort had enough food for 30 days if 125 more soldiers joined them then for how many days will the food last​

Answers

Answer:

500+125=625625÷30=21 days

can someone please help mee (20 points will give brainliest!!!)

Answers

Answer:

Step-by-step explanation:

The is a factor of -3 which makes a vertical stretch on the y-axis of the original f(x) equation making a new g(x) equation.

g(x) = a * f(b(x-h)) + k

a - vertical stretch/shrink y-axis

b - horizontal stretch/shirink x-axis

h - horizontal shift right/left

k - vertical shift up/down.

Desmos

NOTE: Angles not necessarily drawn to scale.

Answers

Answer: 60°

Step-by-step explanation:

- the two angles created by CD and EF are vertical angles so they are equal

- one angle is 30° so the other one is 30° and it splits an existing 90° angle so 90-30 = 60 so x is 60°

hope this helps :)

Answer:

∠x=60°

Step-by-step explanation:

Add 90° and 30° then subtract by 180 to find ∠x.

How I got 30 degrees is because of the vertical angle. Vertical angles are always equal.

I got the 90 degrees from the left top side.

180 degrees is the degrees of a straight angle.

90+30=120

180-120=60

Hope this helps!

If not, I am sorry.

Isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table.

Quotient



Divisor

3x2
– 5x
– 2
x
3x3
–5x2
–2x
+ 2
6x2
A
B

What are the missing values in the table?

Answers

The value of A and B are -10x and -4 respectively.

Division involves gathering a number of expressions into smaller forms.

The quotient is represented by the expression

Quotient= Dividend /Divisor

We have the value of the Dividend from the division table given in the question

Dividend of the Operation= A

Divisor of the Operation=2

Quotient of the Operation= -5x

As we know Quotient= Dividend /Divisor

So, -5x= A/2

multiplying 2 on both sides

⇒(-5x)2= A/2*2

⇒ A= -10x

Similarly, We have the value of the Dividend from the division table given in the question

Dividend of the Operation= B

Divisor of the Operation=2

Quotient of the Operation = -2

As we know Quotient= Dividend /Divisor

So, -2= B/2

multiplying 2 on both sides

⇒(-2)2= AB2*2

⇒ B= -4

Therefore the value of A and B are -10x and -4 respectively.

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(05.02)The area of the parallelogram below is ___ square meters
Numerical Answers Expected!
Answer for Blank

Answers

Step-by-step explanation:

the area of a parallelogram is

baseline × height

which is in our case

9 × 7 = 63 m²

Answer:

ayo give the other guy brainilest

Step-by-step explanation:

what are the rates of the cyclists?​

Answers

Answer:

24 km/h and 17 km/h

Step-by-step explanation:

We know that when two cyclists are traveling together, they will meet in the same time as if one cyclist with the combined speed of the two cyclists travelled the whole length. We don't know the speeds of the cyclists, so let's assign the one with the slower speed "x", and the one with the faster speed "x+7" the combined speeds is "2x+7"

Since the speed = distance / time, we can plug in the values

2x+7=205/5
2x+7=41
2x=34
x=17
We substitute x into the equation for the speed of the cyclists

Cyclist 1's speed: x, so their speed is 17 km/h
Cyclist 2's speed: x+7, so their speed is 17 + 7, or 24 km/h

G
E
H
LF
Each isosceles triangle had the same vertex angle as triangle EJF. The sum of the
vertex angles equals 180°. (2 points, one for the correct equation, one for the correct
solution.)
Let x = the number of isosceles triangles.
Fill in the equation with your answer from Q12 and solve for x.
- x = 180

Answers

The value of x in the triangle will be 30°

How to calculate the value?

Let the base angles be x. The vertex angle will be:

= 2(x + x) = 4x

Since the sum of the angles in a triangle is 180°, therefore, 4x + x + x = 180°

6x = 180°

x = 180°/6

x = 30°

Therefore, the angles are 30°, 30°, and 120°. This makes up 180°.

Complete question:

In an isosceles triangle, the vertex angle is twice the sum of the base angles. Fund the angles of the triangle.

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Multiply a Polynomial by a Monomial
In the following exercises, multiply.
236. (8b − 1)b

Answers

Answer:

The given expression is (8b − 1)b.We have to multiply the given expression.Distribute the expression then simplify to determine the answer.

         (8b − 1)b = 8b*b - 1*b

                        = 8b2 - b

                         

Step-by-step explanation:

Hence the expression (8b − 1)b=8b2 - b.

PLS HELP ME ASAP FIRST CORECT ANSWER GETS BRAINLEIST​

Answers

Answer:

The area of the shape is 68 cm².

Step-by-step explanation:

We have to calculate the areas of the rectangle and triangle separately, and then add them together.

• Area of rectangle = length × breadth

                                = 30 cm × 2 cm

                                = 60 cm²

• Area of triangle = [tex]\frac{1}{2}[/tex] × base × perpendicular height

                             = [tex]\frac{1}{2}[/tex] × 2 cm × 8 cm

                             = 8 cm²

Adding the areas together = 60 cm² + 8 cm²

                                             = 68 cm²

Someone please help me out with this one. If LM=XY, then LM-GH=

Answers

LM=XY, then LM-GH= XY - GH and this illustrates the subtraction property of equality.

How to illustrate the information?

It should be noted that the subtraction property of equality simply implies that when the same number is subtracted form both sides, then the two sides will still remain equal.

In this case, when LM=XY, then LM-GH= XY - GH. This illustrates the subtraction property.

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what is the area of a polygone with vertices (-3,4) (2,4) (4,2) (2,-3) and (-3,-3)

Answers

By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

How to determine the area of a irregular polygon

In this problem we have to determine the area of a irregular polygon, whose calculation is defined as a sum of the areas of triangles and rectangles. To determine the combination of squares and triangles, we need first to plot the vertices and construct the figure on a Cartesian plane.

The area of the irregular figure is:

A = (5) · (7) + 0.5 · 2² + 0.5 · (2) · (5)

A = 35 + 2 + 5

A = 42

By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

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Complete the number pattern

Answers

The first one is 37 and the second one is 49

What is the range of f?

Answers

Answer: [tex][-3,7][/tex]

Step-by-step explanation:

The range of a function is the set of y-values.

If nicolai earns an 8 percent after tax rate of return, 9,500 today would be worth how much to nicolai in five years?

Answers

Nicolai would get worth of 13958.62 in five years for an 8% rate of return.

What is the rate of return?

The net gain or loss of an investment over a given period stated as a percentage of the investment's starting cost is known as a rate of return (RoR).

Any type of investment instrument, including real estate, bonds, equities, and fine art, can be subject to a rate of return.

You determine the percentage change from the start of the period to the end when computing the rate of return.

Initial amount=9500

Rate of return=8%

Amount after 5 years=[tex]9500*(1+\frac{8}{100}) ^{5}[/tex]

                                    [tex]=9500*(\frac{108}{100} )^{5}[/tex]

                                   [tex]\\=13958.62[/tex]

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Question 4 of 10; can someone help me.

Answers

B. Similar SSS.
they are all connecting on sides making ABC congruent to DEF.

I need help please!!!

Answers

Based on the number of coins in the jar, the probability that Nina would not pick a penny or dime is a. 0.36.

The cost of the entire trip to the Cross family should they use the two cars is c. $107.07.

What is the probability to Nina?

This can be found as:

= Number of quarters, and nickels) / (Number of quarters, nickels, dimes, and pennies)

= (13 + 18) / (13 + 25 + 18 + 30)

= 0.36

What is the cost of gasoline to the Cross family?

= Cost of gas to first car + Cost of gas to second car

= (450/18 x 2.49) + (450 / 25 x 2.49)

= 62.25 + 44.82

= $107.07

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Analyzing Exponential Decay Graphs
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through (2, one-ninth), (1, one-third), (0, 1), and (negative 1, 3).

Analyze the graph of the exponential decay function.

The initial value is
.



The base, or rate of change, is
.



The domain is

Answers

Considering the given exponential function, we have that:

The initial value is of 1.The base is of [tex]\frac{1}{3}[/tex].The domain is of all real values.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value, that is, the value of y when x = 0.b is the rate of change.

When x = 0, y = 1, hence the initial value is of 1. When x changes by 1, y changes by 1/3, hence the base is of 1/3. Exponential functions have no restrictions, hence the domain is of all real values.

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Answer:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through (2, one-ninth), (1, one-third), (0, 1), and (negative 1, 3).

Analyze the graph of the exponential decay function.

The initial value is

✔ 1

The base, or rate of change, is

✔ 1/3

The domain is

✔ all real numbers

Step-by-step explanation:

VERBAL
3. Explain how to interpret the initial value in a word problem that uses a linear function.

Answers

Answer:

The initial value in the word problem is the output value when input value is set to zero.

Step-by-step explanation:

In the question, it is given that a problem uses a linear function.It is required to explain how to interpret the initial value in a word problem.In order to find the initial value in a world problem, find the output value when input value is set to zero.If the initial value is marked as b for a linear function f(x), find it as follow,b = f (x=0)

write a quadratic function F whose zeros are 12 and 1

Answers

Answer:

[tex]f(x) = (x-12)(x-1)[/tex]

Step-by-step explanation:

So when you have a quadratic equation it can usually be expressed as: [tex]a(x-b)(x-c)[/tex] where b and x are the roots of the equation. Since it's just asking for a function whose zeroes are 12 and 1, I'm assuming it doesn't care about the stretch/compression (value of a determines that), so I'll just assume a=1. if 12 and 1 are zeroes, that means it makes one of the factors equal to 0 because is x-b = 0 then no matter the value of x-c the value of y is 0 because 0 * (x-c) will be 0. So the equation becomes [tex]f(x) = (x-12)(x-1)[/tex] plugging in 12 or 1 as x will make one of the factors 0 thus making f(x) equal to 0

I need the answers can u help me please

Answers

Answer:

`1) 2.5cm, 2)1.25inches 3)2.25inches 4)1.25inches

Step-by-step explanation:

1) This is a centimeter rule, one small line represents 0.1cm and 1 long line represent 1cm, the line in between two long lines represent 0.5 cm

As you can see from A to B, is 2 cm + 0.5cm = 2.5cm.

2)This is found on the other side of rulers, inches.

1 small line represent 0.25 inches, line in between 2 long lines is 0.5 inches.

From S to T, is 1 inch + 0.25 inches = 1.25inches

3)Similar to Question 2.

Length of Pencil= 2 inches + 0.25 inches = 2.25 inches

4)This is a more detailed inch rule.

But length of heart shape = 1 inch + 0.25 inches = 1.25 inches


Given: Triangle ADE~
Triangle CBF, ED bisects Angle ADC and F B bisects Angle ABC.
Prove: DF BE is a parallelogram.

Answers

Answer:

See proof below

Step-by-step explanation:

Given [tex]\triangle ADE \cong \triangle CBD[/tex]

Then, [tex]\angle AED \cong \angle CFB[/tex] because corresponding parts of congruent triangles are congruent.

Since [tex]\angle AED \text{ and } \angle DEB \text{ form a linear pair}[/tex], by the linear pair postulate, [tex]\angle AED \text{ and } \angle DEB \text{ are supplementary}[/tex].

Similarly, [tex]\angle CFB \text{ and } \angle BFD \text{ form a linear pair}[/tex], so by the linear pair postulate,  [tex]\angle CFB \text{ and } \angle BFD \text{ are supplementary}[/tex].

By the Congruent supplements theorem, since [tex]\angle AED \text{ and } \angle DEB \text{ are supplementary}[/tex], [tex]\angle CFB \text{ and } \angle BFD \text{ are supplementary}[/tex], and [tex]\angle AED \cong \angle CFB[/tex] , then [tex]\angle DEB \cong \angle BFD[/tex]. (note, this is one pair of opposite angles inside quadrilateral DFBE)

Recalling that [tex]\overline {ED} \text{ bisects } \angle ADC, \text{ and } \overline {FB} \text{ bisects } \angle ABC[/tex], then, [tex]\angle ADE \cong \angle CDE[/tex], and [tex]\angle CBF \cong \angle FBA[/tex] by definition of angle bisector.

Note that [tex]\angle ADE \cong \angle CBF[/tex] because corresponding parts of congruent triangles are congruent.

Also, note that [tex]\angle EDF \cong \angle EDC[/tex] and [tex]\angle FBA \cong \angle FBE[/tex] because B, E, A are colinear, and D, F, C are colinear.

So, by the transitive property of angle congruence, [tex]\angle EDF \cong \angle FBE[/tex]  (This is the other pair of opposite angles inside quadrilateral DFBE)


So, since both pairs of opposite angles are congruent, quadrilateral DFBE is a parallelogram, by a theorem about quadrilateral properties (your book may or may not have a name for it.  It may just have a number).

Solve the problems. Write the complete proof.


ONLY HAVE TO PROVE HOW BD IS PERPENDICULAR TO AC!

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. An isosceles triangle is one with two equal-length sides.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔBAD and ΔBDC,

m∠ADB = m∠CDB {Given}

BD = BD {Common side in two triangles}

AD ≅ DC {Given}

Using the ASA postulate the two triangles are congruent. Therefore,

m∠BAD= m∠BCD.........equation 1

m∠ABD= m∠CBD

In ΔADC, AD ≅ DC {Given}, therefore, the triangle is an isosceles triangle. Thus,

m∠DAE = m∠DCE.......equation 2

Adding two of the equation 1 and 2,

m∠BAD + m∠DAE = m∠DCE + m∠BCD

∠BAC = ∠BCA

Since in ΔABC, ∠BAC = ∠BCA therefore, the triangle is an isosceles triangle, thus, AB = BC,

BE is the common side between ΔAEB and ΔCEB

Also, m∠ABD= m∠CBD

Therefore, ΔAEB ≅ ΔCEB

Now as ΔAEB ≅ ΔCEB, therefore, AE=EC,

Thus, BE is the median of the isosceles triangle ABC, and for an isosceles triangle, the median opposite to the non-common sides is the perpendicular bisector to the opposite side.

Hence, BD⊥AC.

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pls help asap.............

Answers

The First graph does not have an initial Value

The second graph's solution is (3, -4)

What is Quadratic graph?

A quadratic graph is a pictorial representation of quadratic functions.

It shows the relationship between a variable on the x-axis and a variable on the y-axis.

Analysis:

The First graph did not either start from the x or y-axis so it does not have an initial value.

The second graph each mark is 0.5 on both axes so the point of intersection of the two graphs is the solution of the graphs which the x- value is 3 and the y-value is -4.

Therefore (3, -4) is the solution of the graph.

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RATING BRAINLIEST Which of the following demonstrates the Distributive Property?

4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12

Answers

Answer:

D: 4(2a+3)=8a+3

Step-by-step explanation:

4x2a = 8a and 4x3 = 12

Answer:

just saying this so other can get brainliest

Step-by-step explanation:

d

Can you guys please help? The image is attached.

Answers

See below for the description of changes when the dependent and the independent variables are switched

How to determine the changes?

The table of values

When the dependent and the independent variables are switched, the values also become switched on the table.

This means that the table becomes an inverse table of the function

The scatter plot

Switching the variables implies that the original function is being reflected across the line y = x

The description in words

This description is an inverse relation of the original function

The equation

This description is an inverse equation of the original function.

If the initial equation is y = ax + c, the new equation becomes x = ay + c

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Belinda is thinking about buying a car for $18,500. The table below shows the projected value of two different cars for three years:
Number of years
1
2
3
Car 1 (value in dollars) 17,390 16,346.60 15,365.80
Car 2 (value in dollars) 17,500 16,500 15,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a car that would have the greatest value in nine years. Will there be any significant difference in the value of either car after nine years?
Explain your answer, and show the value of each car after nine years. (4 points)

Answers

There is a significant value in the difference in the value of the car after nine years

The type of function (linear or exponential)?

The table of values is given as:

Years     1     2     3

Car 1 17,390 16,346.60 15,365.80

Car 2 17,500 16,500 15,500

The values of car 1 have a common ratio of 0.94; this is calculated by dividing the terms of the function

The common ratio implies that the function of car 1 is a geometric function.

The values of car 2 have a common difference of -1000.

The common difference implies that the function of car 2 is a linear function.

The function of each car type

Car 1

In (a), we have:

Common ratio, r = 0.94

The initial value is given as:

a = 18,500

So, the function of car 1 is

f(x) = 18500 * 0.94^x

Car 2

In (a), we have:

Common difference, d = -1000

The initial value is given as:

a = 18,500

So, the function of car 2 is

f(x) = 18500 - 1000x

The car with the greatest value after 9 years

This means that

x = 9

So, we have:

Car 1

f(9) = 18500 * 0.94^9

f(9) = 10600

Car 2

f(9) = 18500 - 1000 *9

f(9) = 9500

10600 is greater than 9500

Hence, there is a significant value in the difference in the value of the car after nine years

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Find the decay factor from the equation y = 453(0.87)^4

Answers

The decay factor of the equation given in the task content is; 0.87.

What is the decay factor from the equation?

According to the task content; the equation given is; y = 453(0.87)^4.

By comparison with exponential decay functions, it follows that the decay factor from the equation given is; 0.87 which insinuates that the factor of change after each decay is 0.87.

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For the data in the table, tell whether y varies directly with x . If it does, write an equation for the direct variation.

x y
2 -6.6
3 -9.9
4 -13.2
5 -16.5

yes; y = x – 3.3

no

yes;

yes; y = –3.3x

Answers

Answer:

yes , y = - 3.3x

Step-by-step explanation:

if y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation , then

k = [tex]\frac{y}{x}[/tex]

checking k for each ordered pair in the table

[tex]\frac{-6.6}{2}[/tex] = - 3.3

[tex]\frac{-9.9}{3}[/tex] = - 3.3

[tex]\frac{-13.2}{4}[/tex] = - 3.3

[tex]\frac{-16.5}{5}[/tex] = - 3.3

thus k = - 3.3

so y varies directly with x and the equation of direct variation is

y = - 3.3x

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please please in a survey it was found that the ratio of people who like arithmetic and algebra is 9:8 if 25% like both 80% like none of these and 20% like arithmetic only find the number of people who participate in the survey The highest point on land on Earth is the top of Mt. Everest in the Himalayas, at an elevation of 29,028 feet above sea level. The lowest point on land is the Dead Sea, between Israel and Jordan, at 1319 feet below sea level. Find the difference in elevations. A ________ is any restriction that limits or alters the rate or direction of capital movement into or out of a country. A defendant was charged with the sale of narcotics. At his trial, the prosecution planned on calling as witnesses the police officer who investigated the crime, an eyewitness to the crime, a desk officer to testify regarding chain of custody, and a former co-defendant who had reached a plea agreement with the prosecution. The defendant demanded, as a matter of right, that each of these individuals be excluded from the courtroom to prevent them from hearing the testimony of the other witnesses. The prosecution objected to removing any of these individuals from the courtroom. Required:What individuals should the judge order be removed from the courtroom? Pls answer problem is in the image give a explanation pls not just a answer Ill give brainiest During one shift, the express lane clerk recorded how many times customers violated the "10 items or less"rule for his lane. In particular, he recorded how many items over the limit each violator placed on theconveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7or more items," not just 7 items.What is the most frequent number of over-the-limit items for this data set?What is the frequency of the most frequent number of over-the-limit items? name the water resource from where river orginatehelp me what are some historical and/or current examples of mob mentality at play?When good people do bad things by Ann Trafton Mars, which has a radius of 3.4 106 m and a mass of 6.4 1023 kg, orbits the Sun, which has a mass of 2.0 1030 kg at a distance of 2.3 1011m.Mars revolution around the sun is 687 days.It takes 24 hours and 37 minutes to complete one rotation. Which is greater, the tangential speed of Marss rotation or revolution? Find the best fit line for the scatter plot. 13. What did Sojourner Truth do that most women of the day were not allowed to do?She held public office.She voted in elections.She lectured to audiences.She owned property. Toward the end of heavy exercise lasting 3 hr or more, _______________ provides almost all the carbohydrate used by the muscles. Mr. Liu turns 65 on June 19. He has never previously qualified for Medicare so his first Medicare eligibility date will be by June 1. Mr. Lius ICEP and Part D IEP begin March 1 and end on September 30. He wants prescription drug coverage with his Part A and Part B benefits. What advice can you provide him? Halla un numero que aumentado en 36 resulta el doble del numero , disminuido en 18 . ( a^2x^3 -5x+3a).(-2a^3x) Which expression equals 24? Group of answer choices (2 + 4)(3) (4 x 2)(3) (4 - 2) + 3 (4 + 3) - 2 Replacing native gel electrophoresis with nonreducing sodium dodecyl sulfate (SDS) polyacrylamide gel electrophoresis (PAGE) during the purification step results in eluates with no enzymatic activity. The best explanation of this observation would be: Why do organisms have varying traits, like different colored eggs?What might drive change in egg color in natural population?Is this experiment an example of natural or artificial selection and why? _____ is the most critical step of the decision-making process. Group of answer choices Choosing an alternative Identifying and defining the problem Evaluating the alternatives Determining the set of alternatives Which of the following contributed to Canadas difficulties in forming a robust national identity during the late nineteenth century? A. Canada had bloody conflicts with indigenous peoples, just like the United States.B. Canada depended on immigrants to settle its western territories.C. There were sharp cultural divisions between French- and English-speaking Canadians.D. Many western Canadians wished to unite with Alaska.