Can you prove the triangles are congruent?

Answers

Answer 1

The triangles can be proven to be congruent. ΔADC ≅ ΔCBA based on the HL congruence theorem.

How to Prove that Two Triangles are Congruent by HL Congruence Theorem?

The HL congruence theorem can be used to prove that two triangles are congruent if we can show that they are right triangles which have a pair of congruent hypotenuse and a pair of congruent legs.

Given the triangles in the image, ΔADC and ΔCBA, they have the following:

Both are right triangles because angles ADC and CBA are right angles.AC ≅ CA based on the reflexive property (congruent hypotenuses)DC ≅ AB because it is indicated they are congruent to each other [congruent legs].

Therefore, both triangles are congruent by HL congruence theorem.

Learn more about the HL congruence theorem on:

https://brainly.com/question/2102943

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Related Questions

If you have 14 feet of fencing, what are the areas of the different rectangles you could enclose with the fencing? Consider only whole number dimensions

Answers

Answer:

Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Step-by-step explanation:

Feets of fencing = 14

Perimeter = 14

Let x = Length y = width

Perimeter = 2(x + y)

For x = 1

2(1 + y) = 14

1 + y = 7

y =6

Area of rectangle ; x *y = 1 * 6 = 6 ft²

For x = 2

2(2 + y) = 14

2 + y = 7

y = 5

Area of rectangle ; x *y = 2 * 5 = 10 ft²

For x = 3

2(3 + y) = 14

3 + y = 7

y =4

Area of rectangle ; x *y = 3 * 4 = 12 ft²

For x = 4

2(1 + y) = 14

4 + y = 7

y = 3

Area of rectangle ; x *y = 4 * 3 =12 ft²

Hence, Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...

Answers

Answer:

see explanation

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Elizabeth has $35.50 to spend on Math tutoring. Each session costs $9 plus a one- time registration fee of $7.45. Let the variable t represent the number of tutoring sessions. Which equation represents the number of sessions Elizabeth can attend for $35.50?

Answers

Answer:

2 tutoring sessions

Step-by-step explanation:

do 9 + 7.45 = 16.45 x 2 = 32.9. You can’t add another 16.45 otherwise it’d go over 35.50

Answer:She can afford 3 lessons.

Step-by-step explanation: If you strt

with the fee of 35.50 you can subtract the one-time fee (7.45) to make it 28.05 and then divide that by 9 to get 3.12 which means she can afford tree lessons.

PLSSSSS HELPPPPPP MEH ;^;

What is the lateral surface area of the triangular prism?

Answers

Answer:

I think it's 56.4

Step-by-step explanation:

if not I'm sorry

Find the missing side length.
es )
A)
10
B)
11
C)
12
D
13

Answers

huh? where's the shape

ANSWER QUICK PLSS!!!
Write congruence statements comparing the corresponding parts in the congruent triangles shown below.

a.

congruent; a reflection followed by translation

b.

congruent; a rotation followed by a reflection

c.

congruent; a reflection followed by another reflection

d.

not congruent

Answers

The correct answer is letter C

Ms. Rios washed
2/7
of her laundry. Her son washed
1/3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Ms. Barnes washed more.

Use the points form of a line to write the equation of a line thag that has a slope of 2 and passing through the points (-4,3) write the equation in slope intercept form

Answers

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .

From our two points we can infer that , , , . Lets replace those values in the slope formula:

Now that we have our slope, we can use the slope-intercept formula:

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .

A gift box has the shape of a cube. The box is 75 cm tall.

What is the volume of the box?
A.225 cm³
B.5625 cm³
C.33,750 cm³
D.421,875 cm³
plz explain how you got it-

Answers

I think the answers is C

Please help me with this math problem

Answers

the answer would be 2/4

Hello :”) how to do 5(a)?

Answers

Answer:

[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

• Differentiate cosine

• Then multiply it with the derivative of the term inside the bracket

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 27000 shirts can be sold at a price of $39, while 33000 shirts can be sold at a price of $15. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts

Answers

30000000 you are welcomeeeeeeeeeeeee

You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Answer:

30.52 feet.

Step-by-step explanation:

Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure

True or false

Answers

Answer:

True

Step-by-step explanation:

The perimeter is the combined length of all the side lengths of a figure.

Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700

Answers

Answer:

[tex]11700[/tex]

Step-by-step explanation:

The formula of a octagon is Area of octagon = 8(1/2 × b × h), which is 520ft.

520ft² × 3ft=1560

1 cubic ft takes 7.5 gallons to fill，

11700

PLEASE HELP WILL MARK BRAINLIEST

Answers

The answer is A, 1375 in squared

A) 1375 inches squared

15x75 is 1125
25x10 is 250
1125 + 250 = 1375

Y=4 find the value of 3y+5

Answers

Answer:

Step-by-step explanation:

3(4)+5

12+5

Answer:

Step-by-step explanation:

7.73 , 5.4332 , 7.7 , 7.703 from least to greatest

Answers

Answer:

5.4332, 7.7, 7.03, and then 7.73

Answer: 5.4332, 7.7, 7.703, 7.73

la función que modela la relación entre el tiempo y la longitud de la vela es = 20x, donde y= tiempo en hora verdadero o falso

ayuda porfavor

Answers

Answer:

falso

Step-by-step explanation:

You preform a business service for which you charge $575. You receive $200 in cash and a promissory note for the balance, payable in 60 days. What steps will you use to show this transaction on your balance sheet?

Answers

Answer:

Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375

Revenue Earned is also increased By $ 575.

Step-by-step explanation:

We make a journal entry

Cash $200 Debit

Notes Receivable $ 375 Debit

Services Revenue Earned $ 575 Credit

In the balance sheet the Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375 on the Assets sides.

On the Liabilities side in the Owner's Equity section Revenue Earned is also increased By $ 575.

Increasing both sides ( Assets and Liabilities sections) with equal amounts will have no effect on the Balance Sheet .

Tiger as a unit of weight 1 tiger = 400 pounds
What is the weight in tigers of a car that weighs
2,800 pounds?

Answers

Answer:

Step-by-step explanation:

because 1 = 400

2800 divided by 400 = 7

I need help I’ll give u brainliest but i need an explanation or I can’t give it

Answers

Answer:

the answer is a

Step-by-step explanation:

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)

Answers

Answer:

2268

Step-by-step explanation:

How many centimeters are equal to 9 meters?

Answers

Answer:

The correct answer is 900 centimeters.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Hey there!

Just simply multiply your given number by 100 and you will have your answer to the given equation

9 * 100 = 900

Answer: 900

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

I need this by tomorrow 3.

Answers

Answer:

it's the first one girl! :)

Step-by-step explanation:

Answer:

That is correct at least to what know...

Step-by-step explanation:

whats the area of the shaded region

Answers

Answer:

36 meter square

Please mark my answer as brainliest for further answers:)

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

sheeeesh i think the it’s 1/2 .2 in a meter of 55 6.789

the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.

Answers

Answer:

I did what I can

Hope this helps :)

Suppose your parents invest $25,000 in an account paying 7% compounded annually. What will be the balance after 8 years?

Answers

$25,000 x 7% = 1,750 in one year.
$1,750 x 8 years = $14,000

Please Help Me!!! What is 81y + 54

Answers

Answer:

Step-by-step explanation:

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