In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW

In Triangles ABC And AWXY, ZA= Wand ZB= ZX.Which Of The Following Must To Be True To Prove AABC= AWXY

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

Learn more about Triangle congruency click here:

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Related Questions

Out of the four benefits of direct deposit (safety, convenience, quick access to money, increased savings), which is the MOST compelling? Why?

Answers

Answer:

Step-by-step explanation:

In a chemical reaction, Substance A reacts with Substance B and forms a new substance AB. The chemical equation for this reaction is A + B = AB where A and B are the reactants and AB is the product. If you add more and more of only Substance A, there will be

Answers

Answer:

More and more of product AB but limited to the amount of B

Step-by-step explanation:

Adding more of one substance which makes up the reactant will increase the number of product AB that will be obtained but limited by the amount of B.

The amount of reacting substances is directly proportional to the amount of product yield. This means that adding more and more of the substance which makes up the reactant increases the amount of atoms reacting to form a product.

Hence, adding more and more of only substance A will increase the product AB, however, the amount of B in the product will be limited.

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What could be the possible one's digit of the square root of 3721 ?
3 , 4
1 , 9
6 , 7
7 , 8

Answers

Answer:

6,1 because 61's square root is 3721

Need help ASAP plz help

Answers

The answer is the T and A

Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?

Answers

Answer:

Ann drove  miles

Step-by-step explanation:

You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon

Then you do 36x8 = 288

Hope this helps !!

Have a blessed day <333

She drove 288 miles.

Just divide 180 by 5, which is 36, then multiply it by 8

A rocket is fired upward from ground level with an initial velocity of 1600ft/sec . When will the rocket be above 1000ft? Show your work. Round your answer to the nearest tenths. Write the answer in set notation.

Answers

Answer:

{t: 0.6 < t < 99.4}.

Step-by-step explanation:

Use one of the equations of motion under gravity.

s = ut + 0.5gt^2       where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.

So we have:

1000 = 1600t  + 0.5* -32*t^2            ( acc due to gravity is negative as we are acting against it).

16t^2 - 1600t + 1000 = 0

t =  (1660 +/- sqrt(1600^2 - 4*16*1000) / 32

This gives t = 0.629 , 99.371 seconds.

So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.

When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.

Answers

Answer:

k = 6

Step-by-step explanation:

if someone writes "/" does it mean Division or a Fraction Line

Answers

Fraction line is what it means like 1/2 is the fraction 1 half

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (14,4)² - 9²

x² = 207,36 - 81

x² = 126,36

x = 11,2

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Let the numbers be 7x and 4x
According to question
7x-4x =57
3x =57
X=57/3
X=19
So the numbers are
7x=7*19=133
4x=4*19=76

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

What is the change from -1 to 7

Answers

+8 because -1 + 8 = 7
The answer to this question would be 8.

HELPPPPP PLEASEEEEEEEEEEE

Answers

Answer:

60 students are divided into equal groups of 5 student each.

Groups of 5 students per group totaled up to 60 students.

The quotient in both expression is 60:5 = 12 students per group.

Step-by-step explanation:

The ratio expression is a way of expressing the division of numerator by a denominator.

Here,

The total number of students is the numerator = 60

The denominator is the number of students per group = 5

Hence, the quotient is the value of the divison obtained which is (60/2) = 12

Therefore, there are 12 groups of 5 students.

he difference of 29 and n

Answers

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

Find the missing length to the nearest tenth. Look at the shape.

Answers

Use the Pythagorean theorem:
A^2+b^2=c^2

16+64=c^2
80=c^2
c= sqrt80
=8.94 approx

Answer: [tex]4\sqrt{5}[/tex]/9.0

Step-by-step explanation:

Simple way: Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

C being hypotenuse. A and B are bases that are interchangeable.

In this question, you are missing the hypotenuse.

a= 8, b=4 c=?

[tex]8^{2}+4^{2}=c^{2}[/tex]

[tex]64+16=c^{2}[/tex]

To get rid of [tex]c^{2}[/tex]. Square both sides.

[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]

[tex]\sqrt{80}=c[/tex]

Simplify [tex]\sqrt{80}[/tex]

[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]

or 9.0

PLEASE HELP ME I DONT GET THIS..​

Answers

I’m also doing my homework but just search how to solve for an area of a circle :) I’m 100% sure it will help
Hi so it's ask for area of circle an you know that formula for area of circle is πr2 r (radius)What is π? We have two formula π which is 22/7 or 3.142.So for this question i will use 22/7.If you look at question 2,4 and 6 you can see the diameter which line straight to the circumference. That's call diameter. But in the formula it want r which mean radius. So the diameter÷2

Hopes this help

HELP PLEASE!!
Write an equation in slope-intercept form for the
graph below:

Answers

y=4x-3 ? The graph us kind of hard to see but I think that's the answer

Answer:

y=4x-3

Step-by-step explanation:

Step 1: plot a new graph cus this one is so hard to read. You know 2 points: (1,1) and (2,5)

Step 2: draw your line

Step 3: find your slope using RISE/RUN: 4/1

Step 4 find your y-int: -3

Hope that helps! Brainliest is appreciated

please somebody answer this last one !!!!!!

Answers

Hope this helps :)

need more help just comment :) :)

Translate the blue shape to the pink shape...

help me quick please

Answers

Answer:

I can't help you if there's no picture lol

The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.

Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.

Part B
What is the measurement of angle G?

Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.

Part D
What is the measurement of angle C?

Answers

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120

Answer:

A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

B:Solve the equation from Part A to find the measurement of angle G:

90° + 30° + g

180° – 90° – 30°

Angle G measures 60°.

C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.

The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:

c + 60° = 180°.

D:Solve the equation from Part C to find the measurement of angle C:

c + 60°

=  180°

c

=  180° – 60°

c

=  120°.

Angle C measures 120°.

the exact answer from edmentum

Step-by-step explanation:

What is the answer to -9u for u=-5

Answers

Answer:

-9 × u

= -9 × -5

= 45 [(-) × (-) = (+)]

Step-by-step explanation:

brainliest plz

Answer:

45

Step-by-step explanation:

-9(-5)=45

please mark me brainliest

PLEASE HELP THANK YOU AND HAVE A GOOD DAY! The answer is not D by the way!

Answers

Answer:

answer a

Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a

What is the end of your proof? (What are you proving?)

Answers

Answer

with

Step-by-step explanation:

Statement      Reasons

1.∠1 ≅ 4             Given

2.∠1 = ∠2           Being Vertically opposite angles.

3.∠4 = ∠3          Being Vertically opposite angles.  

4.∠2 = 3             From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3            From Statement 4

Proved.

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?

Answers

Answer:

68 cm

Step-by-step explanation:

Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.

As we know that the diagonals in the rhombus bisect each other at 90°.

So, AO can be written as (AC/2)  

= 16/2  

= 8 cm

And, DO can be written as (BD/2)

= 30/2  

= 15 cm

Then, consider the triangle AOD and apply Pythagoras theorem,  

AD2 = AO2 + DO2

AD2 = 82 + 152

AD2 = 64 + 225

AD2 = 289

AD = √289

AD = 17 cm

Hence, the length of each side of the rhombus is 17 cm

Now,

The perimeter of rhombus = 4 × side of the rhombus

= 4 × 17

= 68 cm

Therefore, the perimeter of the rhombus is 68 cm.

what is the x-intercept of the line 6x-3y=24

Answers

Answer: x = 4

Solving Steps:

To make things easier, let’s put the equation in slope-intercept form.

6x - 3y = 24
-3y = -6x + 24
y = 2x - 8

The equation of the x-axis is y = 0, so to find an x-intercept, set the equation equal to 0.

0 = 2x - 8
2x = 8
x = 4

A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.

Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*

Answers

The true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

[tex]Tn = ar^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

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Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean

Answers

Answers:

Mode = 2Median = 2Mean = 2.8

===================================================

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

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

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

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

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.

A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]

Answers

Answer: 14

Step-by-step explanation:

The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:

m=4-(-10)/9-8

m=4+10/9-8

m=14/1

m= 14

the shopkeeper sold a laptop having its cost price rupees 25000 at a profit of 25% find its selling price ​

Answers

Answer:

Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).

Let SP = x

Since the question says that Profit is 25% of the selling price, we have:

Profit = 25% SP = 0.25x

Now, we already know that:

Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost,

Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:

= (Profit/Cost)*100

= (0.25x/0.75x)*100

= 33%

And there you have it. Hope I explained it clear enough.

Answer:

Step-by-step explanation:

Cost price = CP = ₹ 25,000

Profit% = 25%

Selling price = SP

[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]

= 125 * 250

= ₹31250

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