Triangles F G H and J K L are shown. Angles G F H and K J L are congruent and angles F H G and J L K are congruent.
To show that ΔFGH ≅ ΔJKL by SAS, what additional information is needed? Check all that apply.

FH ≅ JL and FG ≅ JK
FH ≅ JL and HG ≅ LK
∠G ≅ ∠K and FH ≅ JL
∠G ≅ ∠K and GH ≅ KL
∠G ≅ ∠K and FG ≅ JK

The probability that first card selected has a yellow bird and second card selected has a lion both with and without replacement is 1/40 and 1/38. respectively.

Probability is the likelihood of an event or more than one event occurring. It is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability may also be described as the likelihood of an event occurring divided by the number of expected outcomes of the event. i.e.,

               P(A) = f / N

Where:

P(A) = Probability of an event (event A) occurring

f = Number of ways an event can occur (frequency)

N = Total number of outcomes possible

Here deck of 20 cards are given which implies total number of possible outcomes are 20. From these 20 cards 5 cards has lions and 5 cards has birds in which 2 are yellow and 3 are red.

Now two cards are selected randomly.

We have to find the probability that first card selected has a yellow bird and second card selected has a lion both probability that first card selected has a yellow bird and second card selected has a lion both with and without replacement.

Probability with replacement:

Probability that first card selected has a yellow bird = 2/20  ---(1)

Since replacement is allowed so the probability that second card selected has a lion = 5/20---(2)

So, the probability that first card selected has a yellow bird and second card selected has a lion with replacement = (1) * (2) = 2/20 * 5/20 = 1/40.

Probability without replacement:

Probability that first card selected has a yellow bird = 2/20  ---(3)

And since replacement is not allowed, the probability that second card selected has a lion = 5/19---(4)

So, the probability that first card selected has a yellow bird and second card selected has a lion without replacement = (3) * (4) = 2/20 * 5/19 = 1/38.

Therefore, the probability with and without replacement is 1/40 and 1/38. respectively.

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Answer:

900212356

Step-by-step explanation:

Answer:

coordinates of A are (-4.5, 2)

coordinates of B are (0, -3.5)

Answer:

7

Step-by-step explanation:

15-8

The time it will takes for the rock to hit the ground (h=0)  given the height of 360 feet high is 3.53 seconds.

The concept that will be used in the calculation is the concept of height and time .

The formular for the  expression is given as  ℎ= 200 −16t^2

Then the height of the tower is been given as 360 feet high

ℎ= 200 −16t^2

then

t^2=200/16

t^2=12.5

t=3.53 seconds

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Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

The cost of buying one of each of the soap and plaster is 165p.

From the information, the bar of soap cost 70p and a box of plasters cost 95p.

It should be noted that in order to find the total cost, we will have to add the. oat of each product.

This will be:

Total cost = Cost of soap + Cost of plaster

= 70p + 95p

= 165 p

The cost is 165p.

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Answer:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Step-by-step explanation:

From a fellow 8th grader <3

First, let's review the slope of a line: y = mx + b

Where m is the slope, and b the y-intercept

Let's find the slope. To do this I will select 2 points from this graph, and using the slope formula I will calculate it

Slope formula: [tex]\frac{rise}{run} =\frac{change- in- y}{change-in-x} =\frac{y^2-y^1}{x^2-x^1}[/tex]

To get the most accurate answer, I will be using the 2 points given that are directly on the line:

1 = (2, 30)

2 = (4, 10)

Slope: [tex]\frac{10-30}{4-2} =\frac{-20}{2} =-10[/tex]

m = -10

It makes sense that it is a negative, since the graph continues downwards.

Let's update our equation: y = -10x + b

We can see that the line intersects the y-axis at y = 50

Plug this into our b-value:

y = -10x + 50

Now, I would recommend using a graphing calculator (like a TI-83) or an online one (like desmos) to double check this. I have attached a screenshot of this line on desmos. From there we can see if this line matches up with the one seen on your graph.

Our answer is:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Please let me know if this helped you, and if this was the correct answer! If it is incorrect I will do my best to revise my answer.

Answer: y intercept is (0,50) and Slope is -10.

Final equation is y= -10x+50

Step-by-step explanation:

Y-intercept is at what point the line intercepts the y-axis. It intersects at (0,50) coordinate point as you can see.

Slope is change in y divided by the change in x. When you change x by 1, y changes by -10. So it is -10/1 = -10. Slope is -10.

Since we know y intercept and slope equation is y=-10x+50

Answer:

21st 22nd are equal so ×=0

Answer:

A) 0.5

B) 10

Step-by-step explanation:

A) First, you need to Combine Like Terms on the right side of the =

98-248 = -150

Now, you need to Isolate the variable by getting rid of the -178. What you do to one side, you must do the the other.

56a-178(+178) = -150(+178)

56a = 28

Finally, you must remove that 56 on the a. Since it stands for 56 x a, you must do the same you did with the -178 except with Division.

56a/56 = 28/56

a = 0.5

B) Combine Like terms

640+70 = 710

Isolate the variable

710(-20) = 69y+20(=20)

690 = 69y

Remove the 69 with division

690/69 = 69y/69

10 = y

Answer:

He will spend $60 on candy

Step-by-step explanation:

If the cost for one pound is $5, then just multiply.

12 x $5 = $60

Answer: C=7

Step-by-step explanation: C=12+5

the answer is c=7

Answer:

24.359

Step-by-step explanation:

The height is opposite of the 77 so we are using sin. The length of the ladder is the hypotenuse.

sin(77°)=height/25     Set up equation sin=height/hypotenuse

25*sin(77°)=height     Multiply both sides by 25

25*.96437=height

height=24.359

The Amount of money that she received at the end of the read is $4024, the relationship between the number of years Ira has his money invested and the balance in any year differs by $24 which is the simple interest.

Amount invested by Ira = P = $4000

The rate of Interest (r) = 0.6 %

Time period (t) = 1 year.

The simple interest is given by,

[tex]S.I. = \frac{P*r*t}{100}[/tex]

Now, putting the values in the formula, we get:

[tex]S.I. = \frac{4000*0.6*1}{100} =24[/tex]

Hence, the simple interest will be $24

Now, the Amount/balance that she received in the year is A = P +S.I

A = P+S.I.

A = 4000 +24 = $4024

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Answer:

The relationship is linear. His account increases each year by a constant value of $24.

Step-by-step explanation:

took the test

The value of x in the given triangle is x = 4

From the question, we are to determine the value of x.

From the given triangle,

We can write that

(9x+ 1)° + 78° + (17x - 3)° = 180° (Sum of angles in a triangle)

Now, we will solve for x

(9x+ 1)° + 78° + (17x - 3)° = 180°

9x° + 1° + 78° + 17x° - 3° = 180°

Collect like terms

9x° + 17x° = 180° - 1° + 3° - 78°

26x° = 104°

x = 104/26

x = 4

Hence, the value of x is 4

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Answer:   A and D

Step-by-step explanation:   40 x 25,000 = 1,000,000

Answer: A and C

Step-by-step explanation:
Because 40x25000 equals 1 million

The transformation that is applied to the ΔABC to get the ΔA'B'C' is vertical translation by 6 units downwards.

The triangle has the vertices  A(-2, 3), B(2, 1), and C(1, 0)

They are transformed such that:

A(-2, 3)→A'(-2,-3)

B(2, 1)→B'(2,-5)

A(-1, 0)→A'(-2,-6)

Now if we carefully observe we can see that the y-coordinate of A' is 6 less than that of A.

Similarly for B and C the coordinates are 6 units less than that of the object, but the x-coordinate remains the same.

This proves that the graph follows a vertical transformation and since the new ordinates are 6 units smaller, so the graph is translated 6 units downwards.

A function, f, that maps to itself is known as a transformation, or f: X→X'. The pre-image X will change into the picture X' following the transformation. This transformation can use any operation, or a combination of operations, including translation, rotation, reflection, and dilation.

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Answer:

B, C, E

Step-by-step explanation:

B is correct because it is written to the side and also because of the Definition of midpoint.

C is correct because HL and KI H and I are congruent just like L and K because of alternate interior angles.

E is correct because of the verticle angle theorum.

Answer:

Soultion\left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right)\quad :\quad x=-\frac{7+\sqrt{253}}{6},\:x=\frac{\sqrt{253}-7}{6} steps \left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right) simplify -2x^2-\frac{14x}{3}+\frac{34}{3}=0.

Step-by-step explanation:

I got you my boy.

Answer:

I am going sujshsbeba170

The fraction solve 7/15 - 6 2/5 , we get the answer -89/15.

Given,

In the question:

The Fraction is given as:

7/15 - [tex]6\frac{2}{5}[/tex]

To solve the above fraction.

Now, According to the question;

Let's know

What is fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Come to the question:

7/15 - [tex]6\frac{2}{5}[/tex]

7/15 - 32/5

Take the L.C.M

= [tex]\frac{7-96}{15}[/tex]

= -89/15

Hence, The fraction solve 7/15 - 6 2/5 , we get the answer -89/15.

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The equivalent expression using the distributive property is 6(7x + 2)

From the question, we have the following expression

42x + 12

Rewrite the given expression as follows

This is represented using

(42x + 12)

Factor out 2 from the expression

So, we have the following representation

42x + 12 = 2(21x + 6)

Factor out 3 from the expression

So, we have the following representation

42x + 12 = 2 * 3(7x + 2)

Evaluate the products

42x + 12 = 6(7x + 2)

The above represents the equivalent expression

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The sales revenue necessary to generate net income of $100,000 is: $416,667.

Using this formula to find the sales revenue

Sales revenue = Sales revenue + (Sales revenue × Net income / Fixed costs)

Let plug in the formula

Sales revenue =  $250,000 + ($250,000 × $100,000 /$150,000)

Sales revenue = $250,000 + ($250,000 ×0.6666666)

Sales revenue = $250,000 + $166,666.65

Sales revenue = $416,666.65

Sales revenue = $416,667 (Approximately)

Therefore the correct option  is E.

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Answer: -2.55

Step-by-step explanation:

Answer:

-2.55

Step-by-step explanation:

-1.25 + 2 1/5 + (-3.5) =

= -1.25 + 2.2 - 3.5

= 0.95 - 3.5

= -2.55

Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

Answer:-5/1

Step-by-step explanation:

down 5 and over 1

to get the slope, find a spot on the graph and then go 1 to the right and read how much the graph went up or down.
on 5) you see it did neither, so m=0
when the graph goes up, m is positive, when it goes down, m is negative.
so on graph 1, you have 2 dots.
you go 2 right, and 4 down. when the dots are not 1 apart (counting going right)  then divide by the steps you went right.
4 divided by 2 is 2.
-> graph went down, slope for 1) is m = -2

graph 2) you go 2 right and 2 up, 2/2 = 1. you went up, so m is positive and m = 1 for this graph.

3) is undefined because it doesn't go anywhere when you go right, it's 100% vertical

4) m = -5 because you went 1 right and 5 down

5) you go 6 right between the dots and 4 down. m is negative because it went down, not up. so m = -(4/6)

Answer:

28

Step-by-step explanation:

4,8,12,16,20,24,28. +4 every time