Describe a similarity transformation that maps triangle ABC to triangle RST

Describe A Similarity Transformation That Maps Triangle ABC To Triangle RST

Answers

Answer 1

Given the coordinates of the points A, B, and C:

\(\begin{gathered} A=(6,4) \\ B=(-2,0) \\ C=(-4,2) \end{gathered}\)

And now, the coordinates of R, S, and T:

\(\begin{gathered} R=(2,3) \\ S=(0,-1) \\ T=(1,-2) \end{gathered}\)

The triangles are:

As we can see, the dilation factor can be determined using the sides of the triangles. The sides BC and ST are similar, and ST is half the length of BC. The same is true for RT ~ AC and RS ~ AB. Then, the dilation factor k is:

\(k=\frac{1}{2}\)

Now, looking at BC and ST are reflected from quadrant II to quadrant IV. Then, we conclude that the reflection is about the line:

\(y=x\)

Describe A Similarity Transformation That Maps Triangle ABC To Triangle RST

Related Questions

Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?

Answers

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

Function f is an exponential function that is negative on the interval (-, 1) and positive on the interval

Answer:  the answer is C, but make sure the C has the the line crossing on 0 and -1

Step-by-step explanation:

Took Test om Plato.

Subtract.

7 1/5−(−3/5)

Enter your answer in the box as mixed number in simplest form.

Answers

7 4/5

Cause I’m smort

Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5


Find the surface area of this rectangular prism. Be sure
2 cm
2 cm
9 cm

Answers

Answer: 80 cm^3

Step-by-step explanation:

I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.

Surface area of a rectangular prism: 2(wl+hl+hw)

 2((2*2)+(9*2)+(9*2))

=2(4+18+18)

=2(40)

=80cm^3

Hope this helped.

Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =

Answers

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Alfred has twelve coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.15. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

Please don't answer unless you know the answer.

Answers

My guy 12 coins, it takes 12 quarters to make $3. It would have to be 15 coins for it. 4 quarters = one dollar. 4 quarters x 3 would equal $3, but that’s 12 coins. Then 3 nickels after that. So Alfred has to have 15 coins if it’s only nickels and quarters.

-A rectangle tank has a length of 3m a breadth of 2m and a height of 8m what volume of water in the tank is half full

Answers

Answer:

24 \(m^{3}\)

Step-by-step explanation:

Volume=l*b*h

as tank is half full so height of water will be 4m

and Voulme will be,

V=3*2*4=24 \(m^{3}\)

while capacity of tank is,

V=3*2*8=48  \(m^{3}\)

The volume of water in the tank, when it is half full, is 24 cubic meters.

What is volume?

Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.

The volume of the rectangular tank is given by the formula:

V = l x b x h

where l is the length, b is the breadth, and h is the height of the tank.

Substituting the given values, we get:

V = 3m x 2m x 8m = 48 cubic meters

If the tank is half full, then the volume of water in the tank is:

Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters

Therefore, the volume of water in the tank when it is half full is 24 cubic meters.

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Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.​​

Answers

Answer:

4

Step-by-step explanation:

Amounts needed for 1 batch of 1 dozen cookies:

3/4 cup flour

1/3 cup butter

It's easier to create a table with all amounts to find the total amount of flour and total amount of butter available.

            Ruby         Joey            Sully         Total

Flour       2               1                  1 1/4          4 1/4

Butter     1/4           1/2                  3/4           1 1/2

The table above shows the total amount of flour is 4 1/4 cups, and the total amount of butter is 1 1/2 cups.

Flour:

Amount available: 4 1/4 cups

Amount needed for 1 batch: 3/4 cup

(4 1/4 cups)/(3/4 cup) = 17/4 * 4/3 = 17/3 = 5 2/3

The amount of flour is enough for 5 2/3 batches.

This makes 5 full batches.

Butter:

Amount available: 1 1/2 cups

Amount needed for 1 batch: 1/3 cup

(1 1/2 cups)/(1/3 cup) = 3/2 * 3/1 = 9/2 = 4 1/2

The amount of flour is enough for 4 1/2 batches.

This makes 4 full batches.

The amount of flour is enough for 5 batches, but the amount of butter is enough for only 4 batches, so the greatest number of whole batches they can make is 4.

PLEASE HELP! DUE SOON (also include the check if you can) *I’ll give brainiest*

PLEASE HELP! DUE SOON (also include the check if you can) *Ill give brainiest*

Answers

Answer:

x=24

Step-by-step explanation:

0.22(x+6)=0.2x+1.8

simplify the given equation

0.22x+1.32=0.2x+1.8

shift same kind of variables on one side

0.22x-0.2x=1.8-1.32

0.02x=0.48

For x

x=0.48/0.02

x=24

Check:

For checking subsitute the calculated value x if both sides of x are equal  then its true...

0.22(24+6)=0.2(24)+1.8

5.28+1.32=4.8+1.8

6.6=6.6

Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 42 pencils. There are 14 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?
A.
15
B.
19
C.
3
D.
70

Answers

Answer:42x5=210/14=15

Step-by-step explanation:Each student would get 15 pencils

Answer:

A

Step-by-step explanation:

First you gotta do 42×5 to get the total amount, which is 210.

Then after all you gotta do is divide 210 by the number of students, which is 14.

Then bam, you got your answer, which is 15 (✯ᴗ✯) !!

A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?

A company uses the graph to show how many packages each truck driver delivers .How many packages will

Answers

The truck driver would deliver 105 packages in a 7 hours day

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Banu will build a fence around a rectangular
30-foot-by-25-foot play area. Given that fencing costs
$4.05 per foot, how much will the fencing cost for
Banu to completely surround the play area?

Banu will build a fence around a rectangular30-foot-by-25-foot play area. Given that fencing costs$4.05

Answers

Answer:

A

Step-by-step explanation:

Dimension of the rectangular fence:

Length = 30 ft

Width = 25 ft

Perimeter of the rectangular fence = 2(L + W)

= 2(30 + 25) = 2(55)

Perimeter = 110 ft

Fencing cost per foot = $4.05

Fencing cost for 110 ft = 110 × 4.05 = $445.50

1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.​

Answers

Answer:

Step-by-step explanation:

The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.

Please awnser asap I will brainlist

Please awnser asap I will brainlist

Answers

They can buy 120 vans, 60 small trucks, and 80 large trucks.

How to find the number of van, small trucks and large truck needed?

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Please help me with this proof.​

Please help me with this proof.

Answers

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Can you help me please

Can you help me please

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 more cups

Step-by-step explanation:

This is the answer because:

1) Convert each fraction to an improper fraction.

5 1/5 = 26/5

3 1/5 = 16/5

2) Now, just subtract 26/5 and 16/5

26/5 - 16/5 = 10/5

3) 10/5 equals 2, therefore, the answer is 2

10/5 = 2

Hope this helps!

Use the fact that 1 square mile=640 acres to find the area of a property that measures 7 hectares is for sale.
a. How large is the property in​ acres?
b. If the property is selling for $150,000​, what is the price per​ acre?

Answers

Answer:

a) The property has 17.3 acres.

b) The price per acre is of $8,670.5.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

a. How large is the property in​ acres?

Each hectare has 2.47105 acres.

So 7 hectares will have:

7*2.47105 = 17.3.

The property has 17.3 acres.

b. If the property is selling for $150,000​, what is the price per​ acre?

17.3 acres for $150,000. So

150000/17.3 = $8,670.5.

The price per acre is of $8,670.5.

I NEED HELP WITH THIS QUESTION!!!

I NEED HELP WITH THIS QUESTION!!!

Answers

Answer:84%

Step-by-step explanation:because of the process of elimanation

Carmen ran 3/4 of a mile and walked 2/3 of a mile. How much farther did Carmen run than walk?

Answers

Answer:

Carmen ran \(\frac{1}{12} \) mile more than she walked.


Find the length of segment LM.

Find the length of segment LM.

Answers

Segment LM would be 7

Answer:

5 I think l to n is 10,so it will be half of it

Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)

Answers

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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Read carefully and choose the name of the student who made the correct statement.

Read carefully and choose the name of the student who made the correct statement.

Answers

Answer:

Rosie is correct

Step-by-step explanation:

can i get brainliest

Answer:

Rosie

Step-by-step explanation:

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

Pls answer number 2 I’ll give brainliest thank youu!

Pls answer number 2 Ill give brainliest thank youu!

Answers

B is the answer to this question (it’s just common sense)

Answer:

$4.40

Explanation:

8/100 = 0.08

55*0.08 = 4.4


please help !!!!!!!!!

please help !!!!!!!!!

Answers

Explanation:

The triangles can be shown congruent by showing either of an angle or side is congruent in addition to the side marked in the diagram. We choose to show angles A and B are congruent by showing ΔCAD ≅ ΔCBD.

Statement . . . . Reason

CD⊥AB, AD≅BD, DE⊥CA, DF⊥CB . . . . given

CD≅CD . . . . reflexive property of congruence

ΔCDA ≅ ΔCDB . . . . LL congruence postulate

∠A≅∠B . . . . CPCTC

ΔADE ≅ ΔBDF . . . . HA congruence postulate

Suppose the die has been “loaded” so that P(1)=1∕12, P(6)=3∕12, and the remaining four outcomes are equally likely with one another. Now find the probability that the number rolled is both even and greater than two

Answers

The "loading" of the die makes P(1)=112, P(6)=312, and the following four outcomes equally likely. A roll with an even number larger than two has a 50% probability of occurring.

The probability of rolling an even number is 1/2 since there are three even numbers (2, 4, 6) and six possible outcomes in total.

The probability of rolling a number greater than two is 5/6 since there are five outcomes (3, 4, 5, 6) greater than two and six possible outcomes in total.

To find the probability that the number rolled is both even and greater than two, we need to find the probability of rolling a 4 or a 6 since these are even numbers that are greater than two.

The probability of rolling a 4 is P(4) = 1/12 + 1/6 = 1/4 since the die is loaded to favour a 6 over the other numbers, but all other outcomes are equally likely.

The probability of rolling a 6 is P(6) = 3/12 = 1/4 since the probability of rolling a 6 is given as 3/12.

Therefore, the probability of rolling an even number that is greater than two is:

P(even and greater than two) = P(4 or 6) = P(4) + P(6) = 1/4 + 1/4 = 1/2.

So the probability of rolling an even number that is greater than two is 1/2.

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How do I write five times the quantity of a number and 3 is 50

Answers

Answer:

\({ \boxed{5(x+3) = 50}}\)

Step-by-step explanation:

let the number be x :

\(5 \times (x+4) = 50 \\ 5(x+4) = 50\)

further more :

\(x+4= 10 \\ x = 6\)

Answer:

5x4x3=50

Step-by-step explanation:

The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.

Answers

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

What is simple random sampling suitable?

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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I need Help please!!!

I need Help please!!!

Answers

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Point M(4, 3) is translated according to the rule (x, y) = (x + 2, y-5). What are the coordinates of M?A. (2-2)B. (6,8)C. (2,8)D. (6,-2)

Answers

Explanation

when you have a pair ordered, the independent vaiable (x) comes first, and then the dependent variable

\((x,y)\)

now, to apply the rule,

\((x+2,y-5)\)

we need to add 2 to the x coordinate and subtract 5 in y coordinate,so

apply the rule

\(undefined\)

Answer:

6,-2

Step-by-step explanation:

Indicate the method you would use to prove the triangles congruent. If no
method applies, enter "none."
O SSS
k O SAS
O ASA
© None

Answers

Step-by-step explanation:

I suspect we don't see the full information for the problem here.

all listed 3 methods are typically used to prove that triangles are congruent (= when turned to have the same orientation, they would simply cover each other completely - no overhanging parts from either triangle).

I guess there is a diagram with 2 triangles and what is known about them.

and since we cannot see them, we cannot tell you which method would apply here.

just remember

SSS means all 3 sides of one triangle are exactly the same as the 3 sides of the other triangle. if you know the lengths of all 3 sides, there is only one triangle you can create. you can only orient it differently.

SAS means two sides and the enclosed angle are the same. again, only one triangle can be created with that information.

ASA means one side and the 2 angles at the end points of that side are known. again, only one triangle can be created with that information.

Other Questions
The contract curve - Pareto efficiency within the Edgeworth box Gilberto and Juanita are friends who just came back from trick-or-treating. In the following Edgeworth box, Gilberto and Juanita's initial endowments of Kit Kat bars and Milk Duds are represented by point A. Juanita's initial indifference curve is given by the inverted purple curve passing through this point, and Gilberto's initial indifference curve is given by the blue curve passing through this point. Both Gilberto's and Juanita's utility increases as they consume more Kit Kat bars and Milk Duds. Use the black line segments (plus symbol) to draw the line representing the contract curve. (Hint: The curve should be made up of six points, starting the origin of either Gilberto's or Juanita's axis.) Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. ? MILK DUDS (Gilberto's Origin) KIT KATS KIT KATS (Juanita's Origin) MILK DUDS Which of the following statements accurately describe the situation shown on the preceding graph? Check all that apply. All points in the lens-shaped area between the initial indifference curves are Pareto efficient. Point A is not Pareto efficient. Even if Juanita and Gilberto engage in trade, they may remain at point A. Contract Curve is anybody on here actually in schools and ore you doing paper work or computer work please let me know help me quickly pls!!! a nurse is caring for a 61-year-old client whose health care provider has ordered 2200 mg of ethambutol daily. the recommended dose for ethambutol is 15-25 mg/kg/day. the client weighs 90 kg. based on dosage calculation, the prescribed dose is: Russell Container Corporation has a $1,000 par value bonds outstanding with 30 years to maturity. The bind carries an annual interest payment of $105 and is currently selling for $880 per bond. Russell Corp. is in a 40 percent tax bracket. The firm wishes to know what the after-tax cost of a new bind issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.a) Compute the yield to maturity on the old issue and use this as the yield for the new issue.b) Make the appropriate tax adjustment to determine the after-tax cost of debt. Please helpIf you know Spanish Ill mark you as brainlister A baker is making cakes for a Big party. She uses 1/4 cup of all the cake how many kids can she make if she has a bottle of all their head in it? You are flying a kite in a competition and the length of the string is 725 feet and the angle at which the kite is flying mesures 35 with the ground. How high is your kite flying? What is composed of amino acids and determines structures of organisms? when you're using a quote in an essay, how do you 'cite' it? COSO examines the role of which of the following elements in the internal control environment? (Check all the apply)A) Effective internal audit functionsB) Independent audit committeeC) Accurate internal control report by managementD) Tone at the topE) Effective external auditorsReason: The Metcalf and Wyden investigations examined the role of external auditors. How does writing impact today's world? Which of the following is not a category of pronouns?A relative and indefiniteB demonstrative and personalC reflexive and possessiveD objective and prepositional what is the present value of $500 recieved at the end of each year for 15 years? ( assume thatt the first patyment is recieved a year from today. Use a discount rate of 10%, and round your answer to the nearest $10.) g Determine whether there is a good line of best fit for the given graph. Then, if there is a good line of best fit, determine if the correlation ispositive or negative. which muscle is highlighted?lumbrical 2nd dorsal interosseous extensor digitorum 1st dorsal interosseous Select the type of equations.consistentequivalentinconsistent Jane and Stephanie both borrow $15,000 from the same bank to purchase the same make and model car. Jane's credit score is 732 and Stephanie'scredit score is 588. Who is more likely to pay a lower finance charge?O Jane because she has a higher credit scoreO Stephanie because she has a lower credit score-O Jane and Stephanie will pay the sameO Stephanie because the bank will want to improve her credit score8 How has Westley changed in 5 years Solve for x. 1.4x 4.67= 2.248