Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.

O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS

Based Only On The Information Given In The Diagram, Which Congruencetheorems Or Postulates Could Be Given

Answers

Answer 1

Answer: HL, SAS, LL, SSS

Step-by-step explanation:

its that easy

Answer 2

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

Options A, B, C, and F are the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

LL congruency

Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.

HL congruency

If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).

Now,

The two triangles are right triangles.

So,

From the definition of congruency, we can say,

ΔJKL and ΔQRS are congruent by:

HL, SAS, SSS, and LL.

Thus,

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

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Related Questions

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Answers

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Please solve, need help quick

Answers

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................



The table shows the approximate population of Virginia for 5 years. If the trend continues, which could
be a reasonable prediction if the population in 2012?

Answers

Answer:

It is C

Step-by-step explanation:

Rewrite the function by completing the square
f(x)=x^2-14x+63

Answers

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate:                              f(x) = (x² - 14x) + 63Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49Simplify:                                f(x) = (x - 7)² - 14

Answer:

-7 and 14 on khan

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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Is the equation, y= 12x proportional or non-proportional? Explain why or why not. *

Answers

Answer:

proportional

Step-by-step explanation:

because it has a constant ratio

Answer: Proportional

Step-by-step explanation:

The equation for a proportional relationship is y=kx. This equation: y=12x fits the equation, so it's proportional.

4m-3(m +2) what is the answer step by step​

Answers

Answer:

-1m-6

Step-by-step explanation:

1. Multiply -3*m = -3m

2. Multiply -3* 2 = -6

3. Combine like terms : 4m + -3m = -1m

4. -1m - 6

Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.

Answers

Answer:

Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.

Step-by-step explanation:

This is sample response

The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Brody had his computer repaired at Store A. His bill was:

Initial Repair Cost = $1,200

Sales Tax of 6 percent = $72.00

A gratuity of 15 percent

Total cost = 1200 + 72 = 1272

The gratuity for the services provided = 0.15x1272 = $190.8

Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

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The graph of a function f is shown below.
Find f(-2).

Answers

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

We kindly invite you to see this problem related to functions: https://brainly.com/question/12431044

Find the value of x. *

Please help

Answers

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

Use a single digit times a power of 10 to estimate the number 0.00002149
please help :(

Answers

Answer:

2.149 × 10-5

Step-by-step explanation:

Compare the numbers

Answers

Answer:The answer is ≥ greater than or equal to

can you mark me Brainliest please

Find the exact length of the third side.
10
6
PLEASE HELP GUH

Answers

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8

The parabola with equation $y=ax^2+bx+c$ is graphed below:

(attached)

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?

Answers

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)

Answers

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

Find the rate of change of y with respect to the x of the line that passes through points (-28,8) and (-42,15)​

Answers

Answer:

-1/2

Step-by-step explanation:

8-15 = -7

-28 - -42 = 14

-7/14 = -1/2

The ratio of the angle measure of the acute angle in a right triangle is 1:3

Answers

Answer:

2:6 because 2:6 is equivalent to 1:3

Step-by-step explanation:

1x1=1 and 3x2=6

A scoop of ice cream has a 3-inch diameter. How tall should the ice cream cone of the same diameter be in order to contain all of the ice cream inside the cone?

Answers

Answer:

12 inches

Step-by-step explanation:

Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.

Thus, the top of the cone will also have a radius (r) inches.

Let consider h to be the height of the cone in inches.

So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.

To do that; we need to equate both volumes together and make h the subject of the formula:

The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h

4/3 πr³  = 1/3πr²h

Multiply both sides by 3

4πr³  = πr²h

4r = h

h = 4(3)

h = 12 inches

To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall

Kevin is opening up a bookstore, where he sells both new and old books. He charges $10.75 for a new book, and $3.50 for an old book. What was Kevin's revenue last month if he sold 18 new books and 21 old books?​

Answers

The revenue last month Kevin, if he sold 18 new books and 21 old books, will be  $ 267.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Kevin is opening up a bookstore, where he sells both new and old books.

He charges $10.75 for a new book and $3.50 for an old book.

Then the revenue last month Kevin, if he sold 18 new books and 21 old books, will be

Then the total revenue will be

Total revenue = 10.75 x 18 + 3.50 x 21

Total revenue = 193.5 + 73.5

Total revenue = $ 267

More about the linear system link is given below.

https://brainly.com/question/20379472

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i need helpppp again

Answers

Answer:

2/7b + 10

Step-by-step explanation:

Help me pleade help me​

Answers

The answer is C.

For a relation to be a function every x-value must be associated with one y-value. C has the x-value of 1 have two separate y-values. The others do not have an x-value that repeats.

Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.

Answers

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.

Answers

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

How many solutions for the equation, 8x - 19 = -4 -7x

Answers

Answer: One.

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :   8*x-19-(-4-7*x)=0

Pull out like factors :   15x - 15  =   15 • (x - 1)

 Solve :    15   =  0

Solve  :    x-1 = 0  

 Add  1  to both sides of the

But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all-made no impression on the man.
What can you infer about the man from the excerpt above?

Answers

Answer:huh

Step-by-step explanation:

That the man is undaunted by the weather and is very solemn.

Explanation
If the man is completely unaffected by the bad weather that means he is very focused or serious about something.

What is the equation for this line ?

Answers

Answer:

[tex]y = -\frac{1}{3}x + 5[/tex]

Step-by-step explanation:

y = mx + b

Let's start with where the line crosses the y axis.  We can see it crosses at 5.

So b = 5.

Let's try another point to figure out m, (3,4).

4 = 3m + 5

3m = -1

m = [tex]-\frac{1}{3}[/tex]

Answer:

y=-1/3+5

Step-by-step explanation:

since the line is going downhill, the slope would be negative (the slope is the number with the x attached). The slope is 3 over and 1 down. You would write it as rise over run, so it would be a -1/3. The line hits the y axis at 5, so the b (y=mx+b is the slope equation) would be 5.

Write an equation for the following data plz :)

Answers

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

Which expression does the number line represent?

NA

0

1

4

2

4

3

4

9

5

4

6

4

7

4

4

8

4

ده

9

Save and Exit

Next

Sun

Answers

Answer: D) 9 Over 4 divided by three-fourths

Step-by-step explanation:

The number line shown below is divided into 3 equal parts. To do so the highest number would have to be divided by a number that would give 3 as an answer.

Say that number is x;

x = (9/4) / 3

= 0.75

= 3/4

Number line shows 9 Over 4 divided by three-fourths .

Q

H.

The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Step

Statements

Reasons

1

UV || WZ

Given

2

Points S. Q, R, and T all lie on the same line.

Given

3

mZSQT = 180°

Definition of a Straight Angle

Angle Addition Postulate

4

m2SQV + m2VQT = m_SQT

5

Substitution Property of Equality

6

m2VQT + mZZRS = 180°

Same-Side Interior Angles Theorem

Substitution Property of Equality

7

m2SQV+mZVQT = m2VQT + mZZRS

Answers

Answer:

i can't understnd it at all i mean you organized it but what does those mean??

Step-by-step explanation:

A cheesecake recipe says to mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese will be needed for 45 oz of sugar?​

Answers

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

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