Determine whether or not the given pair of triangles is similar and state how you know.
Is ΔGHI ~ ΔJKI?
Mark all that apply.

Determine Whether Or Not The Given Pair Of Triangles Is Similar And State How You Know. Is GHI ~ JKI?

Answers

Answer 1

Answer:

            by SAS.                Yes  

Step-by-step explanation:

∠HIG and ∠JIK are vertical angles, so:

m∠HIG = m∠JIK

[tex]\dfrac{GI}{IJ}=\dfrac{7.5}3=2.5\\\\\dfrac{HI}{IK}=\dfrac{2.5}1=2.5[/tex]

[tex]\left\{\dfrac{GI}{IJ}=\dfrac{HI}{IK}\quad\ \wedge\quad m\angle HIG=m\angle JIK\right\}\implies \triangle HIG\sim\triangle JIK\ \ by\ SAS[/tex]


Related Questions

What is the slope of the line? x + 3 y = 10 x+3y=10x, plus, 3, y, equals, 10 Choose 1 answer: Choose 1 answer: (Choice A) A 1 3 3 1 ​ start fraction, 1, divided by, 3, end fraction (Choice B) B 1 10 10 1 ​ start fraction, 1, divided by, 10, end fraction (Choice C) C − 1 10 − 10 1 ​ minus, start fraction, 1, divided by, 10, end fraction (Choice D) D − 1 3 − 3 1 ​

Answers

Answer:

-1/3

Step-by-step explanation:

The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.

Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;

[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]

[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]

Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3

The slope of the line is -1/3.

the correct option is D.

To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.

Let's rearrange the equation to solve for y:

x + 3y = 10

3y = -x + 10

y = (-1/3)x + 10/3

Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.

Therefore, the slope of the line is -1/3.

Learn more about Slope here:

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Evaluate 1 3 m − 1 − 1 2 n 3 1 ​ m−1− 2 1 ​ nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n when m = 2 1 m=21m, equals, 21 and n = 1 2 n=12n, equals, 12.

Answers

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  [tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]

The value of the given expression for the given variable values is zero.

1,400 is 10 times as much as 140- true or false

Answers

Answer:

True

Step-by-step explanation:

140 * 10 = 1400

True

An online company wants to establish ratings for the products they provide. To do so, they ask visitors to their website to evaluate the products and leave a "thumbs up" or a "thumbs down." What type of sample is this? Explain why.

Answers

Answer:

This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.

Step-by-step explanation:

Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more arrows?

Answers

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

Answer:

59

Step-by-step explanation:

177/3=59

-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.

this is what they wrote. ​
just type anything if u want the points.

Answers

Answer:

I came up with the answer check my questions to see it

Step-by-step explanation:

(3-1) (4+2) + 9 - 3 I need help

Answers

Answer:

18

Step-by-step explanation:

(3-1) (4+2) + 9-3 =

2 • 6 + 6 = 12 + 6

= 18

Answer:

[tex]\displaystyle 18[/tex]

Step-by-step explanation:

[tex]\displaystyle (3 - 1)(4 + 2) + 9 - 3 = [(2)(6)] + 9 - 3 = 12 + 9 - 3 = 12 + 6 = 18\:[OR\:21 - 3 = 18][/tex]

G - Grouping Symbols

E - Exponents

M\D - Division & Multiplication [left to right]

A - Subtraction & Addition [right to left OR vice versa]

I am joyous to assist you at any time.

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!

Answers

Answer:

A

C

D

Step-by-step explanation:

√54 or√9 *√6 or √27 *√4

are equal to the answer.

You can do that by doing the square of outer number which is 3 which equals to 9 when squared and multiplying that with the number inside the square root.

A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C

Answers

Answer:

The answer is

5x - 4y = 32

Step-by-step explanation:

To write an equation of a line using a point and slope use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

5x - 4y = 32

Hope this helps you

8 times the sum of a and b

Answers

Answer:

c

Step-by-step explanation:

i did the quiz

Answer:

8(a + b)

Step-by-step explanation:

Sun of a and b = a + b

8 times of (a + b) = 8(a + b)

(-9) - 9n= (-45) please helpppp!

Answers

Answer: n=4

Step-by-step explanation:

[tex]\left(-9\right)-9n=\left(-45\right)[/tex]

add 9 to both sides

[tex]-9-9n+9=-45+9[/tex]

[tex]-9n=-36[/tex]

divide both sides by -9

[tex]n=4[/tex]

Brainliest please

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▹ Answer

n = 4

▹ Step-by-Step Explanation

(-9) - 9n = (-45)

Simple terms are written last:

-9 - 9 = -45

Group all the variable terms on one side, and all the constant terms on the other side:

(-9n - 9) + 9 = -45 + 9

n = 4

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.

Answers

Answer:

The price in dollars per gallon is 8.4

Step-by-step explanation:

The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]

You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:

[tex]\frac{1.4 pounds}{1 liter}[/tex][tex]\frac{1.56 dollars}{1 pound}[/tex]

and being the conversion factor 1 L = 0.26 gal expressed as a ratio:

[tex]\frac{1 liter}{0.26 gal}[/tex]

you can see that the expression to find the equivalent price in dollars per gallon is:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]

Taking into account that all unwanted units of measure are canceled and solving:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]

The price in dollars per gallon is 8.4

HELPPPPPOPP ASAPPPPPPPPP PLEASSSEEEEEEE

Answers

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

A theme park ride carriage with a mass off 1000kg when empty needs to be accelerated at 0.5m/s2 along a horizontal track. What force is required to accelertae the empty ride carriage

Answers

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

Answer:

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

THANKS

1

3.0

(2 votes)

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²Find:Required force (F)Computation:Required force (F) = Mass × AccelerationRequired force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

Which value of x makes the following matrix equation true?

Answers

Answer:

[tex]\large \boxed{{x=-3}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

If the angles a°&b° are complements of each other, then a°+b°= 90° 180° 270° 360°

Answers

Answer:

a + b = 90°

Step-by-step explanation:

If sum of two angles are 90°, then the two angles are complementary

Answer: 90

Angles that are complements form corners. I've bolded the "co" letters to help remember that complementary angles form a 90 degree corner. Whereas supplementary angles form a straight line (both "supplementary" and "straight" start with "S"). So that's one way to remember the two terms.

Anyways, if a and b are complements of each other, then a+b = 90.

Solve A=1/2(bh) for h

Answers

Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

I am a 2 dimensional shape that has four sides. I have two obtuse angles and two acute angles. I have two different sets of parallel sides. I also have two sides that are one length, and my other two sides are a different length.

Answers

Answer:

Quadrilateral

Step-by-step explanation:

6x^2+12x=5x-2
solve the quadratic by factoring

Answers

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

Please solve, -37-2v= -6(2v-3)-5​

Answers

Answer:

[tex]\huge\boxed{v=5}[/tex]

Step-by-step explanation:

[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]

Answer:

v = 5

Step-by-step explanation:

-37 -2v = -6 (2v - 3) - 5

-2v - 37 = -6 (6*2v - 6*3) - 5

-2v - 37 = - (12v - 18) - 5    combine like terms

-37 - 18 + 5 =  -12v + 2v

-50 = -10v

v = -50 / -10

v = 5

To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same trick the first day of the next year, it was a ?

Answers

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

There will be Tuesday when the dog jumps the next year.

What is the reasoning?

the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.

Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Since when the dog jumped it was Sunday

Next Sunday will be at

364/7 = 52

So, after 52 weeks or 364 days, there will be next Sunday.

Since leap year is 366 days years

366 - 364 = 2

So, two days after Sunday is Tuesday.

Hence the day after next year when the dog jump will be Tuesday.

For more about reasoning,

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Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0

Answers

Answer:

discriminant is b²-4ac

= 2²-4(-8)(0)

= 0

one solution

hope this helps :)

Please help! Find the surface area of the composite figure

Answers

Answer:

Step-by-step explanation:

area of base=6×6=36 m²

surface area of four walls=4×6×12=144 m²

area of top= area of four triangles=4×1/2×6×5=60 m²

total surface area=36+144+60=240 m²

-The pendulum would accelerate to the right.
-The pendulum would accelerate downward.
-The pendulum would accelerate to the left.
-The pendulum would accelerate to the upward. help needed ASAP will give brainliest

Answers

Answer:

The pendulum would accelerate to the left.

Step-by-step explanation:

Because the force pushing it left is greater than the force pushing it right, it would go to the left.

Describe the transformation. A. (x,y)→(x+5,y−3) B. (x,y)→(x−3,y+5) C. (x,y)→(x+3,y−5) D. (x,y)→(x−5,y+3)

Answers

Answer:

Option(A)

Step-by-step explanation:

From the graph attached,

Quadrilateral USTR has been transformed to get the image quadrilateral U'S'T'R'.

Coordinates of point U → (-2, 6)

Coordinates of point U' → (3, 3)

Coordinates of U and U' show that quadrilateral USTR has been shifted by 5 units to the right and 3 units down.

Rule to be followed for the translation,

U(-2, 6) → U'[(-2 + 5), (6 - 3)]

U(x, y) → U'[(x + 5), (y - 3)]

Therefore, Option (A) describes the correct rule of transformation.

Help I dont understand this

Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.

-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation

Answers

a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.

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

b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.

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

c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.

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

d. Reflectional symmetry and rotational symmetry.  Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.

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

e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.

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

f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.

1/4x + 2/3 =19/12 I don’t understand how to do this equation

Answers

Answer:

X=11/13

Step-by-step explanation:

First, convert the non-variable fractions to a common denominator.

1/4x+8/12=19/12

1/4x=19/12-8/12

1/4x=11/12

x=11/12*4/1

x=44/12

x=11/3

A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."

Answers

Answer:

The correct option is (C).

Step-by-step explanation:

The claim made by the golf analyst is:

Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.

A standard deviation test is to be performed.

The hypothesis for the test will be defined as follows:

H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.

Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.

Thus, the correct option is (C).

hi! i need to know the cube root of minus one!! just let me know down there!

Answers

Answer:

[tex]\large \boxed{\mathrm{-1}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{-1}[/tex]

Apply radical rule:

[tex]\sqrt[n]{-1}=-1[/tex]

If [tex]n[/tex] is odd.

[tex]\sqrt[3]{-1}=-1[/tex]

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Review the list of dependent clauses and phrases listed below. Rewrite the list, and then interview two people asking them how they would complete the sentences. Write down their responses, and evaluate each of their responses to ensure that they are complete. Label each of the sentences as "simple" or "compound" or "complex" or "compound-complex." Be sure that your punctuation is accurate, and then submit your list below.In the forest (phrasenoun, but no subject and no verb)Smashing against the bat (phraseverb but no subject)Before our first class (phrase)After the snowstorm (phrase)I am aware of the error (clausesubject and verb)When the saints go marching in (clause)Between a rock and a hard place (phrase)Broken shards of glass (phrase)Because of her beautiful smile (phrase)Because she smiled at him (clause) The leading strand runs in adirection and is replicatedA. 5' to 3', continuouslyB.5' to 3', discontinuouslyC. 3' to 5', continuouslyD. 3 to 5', discontinuously Which former country in Europe was part of the Velvet Divorce? What are these two countries called today? 7. How does the poem tell us that the beauty of the garden is almost unbelievable or unreal!You can choose more than one answer.a. It compares the place to another garden which can only be read about or imagined.b. It compares objects in the garden to sea and silver, which are not found in gardens.C. It mentions a sense of surprise in one who looks at the garden. what is happening to this graph when the x vaules -1 and 1 Find the value of x. Round to the nearest degree. 60 33 57 29 A governmental monitoring function of the courts, which lends legitimacy to government, is the power of ________________. Examine the given reaction. NH4NO3(s) NH4+(aq) + NO3(aq) H = 25.45 kJ/mol S = 108.7 J/molK Which of the given is correct about the G at 25 C?A)+4,360 JB)6,942 JC)4,360 JD)+6,942 J A bumblebee carries pollen from the male portion of a plant to the female portion of the same flower. Fertilization occurs. Which statement is true about this type of reproduction?A. Its asexual, and the offspring are genetically identical to the parentsB. Its sexual, and the offspring are genetically identical to the parents.C. Its asexual, and the offspring are genetically different from the parents.D. Its sexual, and the offspri 1 Select the correct text in the passage. Which lines in this excerpt from Guy de Maupassant's short story "Boule de Suif" suggest that the resistance activities of the civilians were more courageous than those of the armed soldiers? I dont really understand this A toroidal solenoid with 400 turns of wire and a mean radius of 6.0 cm carries a current of 0.25 A. The relative permeability of the core is 80. (a) What is the magnetic field in the core? (b) What part of the magnetic field is due to atomic currents? Please answer this question now To spur trade, Cormoran, Brithea, and Asmakush decided on economic integration where there were no barriers to trade between the three countries, they agreed on a common external trade policy, and allowed factors of production to move freely between the three countries. In short, the three countries formed a Group of answer choices Does anyone know this Jennifer is a junior in college. Her current cumulative grade point average (GPA) is 3.5 out of a 4.0 scale. Jennifer is hoping that by the time she graduates, she can raise her cumulative GPA to a 3.7. Which of the following statements is correct?A. Either b or c could be correct. B. If Jennifer earns a 3.7 GPA in her senior year, she will be able to raise her cumulative GPA to a 3.7. C. If Jennifer earns between a 3.5 and a 3.7 GPA in her senior year, she will be able to raise her cumulative GPA to a 3.7. D. Jennifer must earn above a 3.7 GPA in her senior year in order to raise her cumulative GPA to a 3.7. hey guys plz help meI need a answer which is for grade nine.... economic chapter 7I have made a mistake, sorry it's not a german it's a economics subject what is is called when you make overall changes to your document in revision? Find the slope of the line.4/3-4/3-3/43/4 Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the account after all these transactions?