Given:

AD = CB

DC = BA

Prove:

∠3 = ∠2



Which of the following triangle congruence theorems would be used in this proof?

ASA
AAS
SSS

Given:AD = CBDC = BAProve:3 = 2Which Of The Following Triangle Congruence Theorems Would Be Used In This

Answers

Answer 1

The congruence theorem that can be used to prove that both triangles are congruent is: C. SSS.

What is the SSS Congruence Theorem?

The SSS congruence theorem is a triangle theorem which states that two triangle are congruent if they have three pairs of corresponding sides that are congruent.

The triangles in the image given have the following three corresponding sides that are congruent:

AD ≅ CBDC ≅ BAAC ≅ CA (reflexive property)

Therefore, the congruence theorem to prove they are congruent is: C. SSS.

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Related Questions

Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)

1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown

2. All forms of energy except nuclear fission come from the _________.



3. Energy is ______________.

Answers

its that one dudee!!!!!

The formula for converting C to F is C =
5(F-32)
9
where F is the temperature in °F and C is the temperature in °C.
Find F when C= 28°.

Answers

Answer:

f=82.4

Step-by-step explanation:

f=9c/5+32

f=9x28/5+32

f=252/5+32

f=50.4+32

f=82.4

Look at the corners of the shape below. Which of the following points is located at one of the corners?

Answers

Answer: Coordinate (1,6)

Step-by-step explanation: Because it is located on one of the corners already if you count the spaces! I hope this helped!! :D

Answer:

the person above me is right its (1,6) its the only one thats located on a corner

Step-by-step explanation:

What is the closest point on the line y = 2x - 5 to (4, 8)?

Answers

Answer: I think it is (6.5, 8).

Step-by-step explanation:

I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

Answer:

about 11.7 units (Pls mark me as brainy)

Step-by-step explanation:

Find the width:

length⋅width=  area

4w=44    Plug in known values.

4w/4=44/4    Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2=  c^2   Use the Pythagorean Theorem.

16+121=  c^2   Simplify.

137=c^2   Simplify.

±√137​= √c^2   Square root both sides.

11.704699...= c   Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c     Round to the nearest tenth.

The length of the diagonal is 11.7 units.

11.3 9 9 9 7.8 surface area of triangular prism

Answers

Answer:

Total area = 187.65 cm^2

Step-by-step explanation:

AREA of a triangle = 1/2 base * height

THREE sides    3     * 1/2 *9 *  11.3  = 152.55 cm^2

Bottom                       1/2 * 9 * 7.8  = 35.1 cm^2

  total = 187.65  cm^2

oam. The pit
p is the pit?
The gymnastics center where Alexander
works has a rectangular pit filled with
foam. The pit has a volume of 70
m³, and it has a length of 7 m and a width
of 5 m. How deep is the pit?
35 m
2m
14 m
10 m

Answers

Answer:

2 m.

Step-by-step explanation:

Volume = length * width * depth

70 = 7 * 5 * d     where d = depth

d = 70 / (7*5)

   =  70/35

    = 2 m.

A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 70 centimeters

Answers

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

What is the volume of a sphere?

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that:

[tex]\frac{dV}{dt} = 500, r = 70[/tex]

Hence the rate of change of the radius is given as follows:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]19600\pi\frac{dr}{dt} = 500[/tex]

[tex]\frac{dr}{dt} = \frac{500}{19600\pi}[/tex]

[tex]\frac{dr}{dt} = 0.0081[/tex]

The radius is increasing at a rate of 0.0081 cm per minute.

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What is the sum of √-2 and √-18?
O 4√2
O 4√21
O 5√2
O 5√21

Answers

Answer:

[tex]4 \sqrt{2} \: i[/tex]

Step-by-step explanation:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]

The sum of √-2 and √-18 is 4i√2.

What are Irrational Number?

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

We have √-2 and √-18.

To find the sum of √-2 and √-18 we need to perform addition as

= √-2 + √-18

= √2i + √18i

= √2i  + 3i√2

= 4i√2

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f(x) = 3 and g(x) = x – 2

3 = x – 2

5 = x

Answers

Answer:

The question is incomplete

Step-by-step explanation:

Because the question not tells that what is to be find .

Solve for all values of y in simplest form.
21 = |7y|
Answer: y =
Submit Answer

Answers

Answer: y= ±3

Explanation: 21/7=3 BUT the absolute sign mean no matter whats inside the sign the outcome will always be positive afterwards , so it can be a positive or negative 3.

2. Identify the missing factors:


d) 20 = (4) (?)


e) -14x = (7) (?)


f) x3 =x2 (?)

Answers

Answer:

d) 20 = (4) (5)

e)-14x = (7) (0) = undefined

f) Every Real numbers are solutions, here.

Step-by-step explanation:

2) Identify the missing factors:-

d) 20 = 4(?)

Solved:

Let us assume that *?* = x here.

20 = 4x20/4 = x5 = xx =5

e)-14x = (7) (?)

Assume *?* as x

-14x = 7x−14x−7x=7x−7x−21x=0x = 0/-21 = undefined

f) x^3=x^2(?)

Assume ? as x

x³=x²(x)x³−x³=x^3−x^30=0Real numbers are solutions.

BRAINLIEST if correct answer

Answers

total price of made dolls:

n×£8.50

=170×£8.50

=£1445

total cost:

C= 5n+432

C = 5×170+432

C= £1282

profit=price-cost

p= £1445-£1282

= £165

Suppose you invest $1850 at an annual interest rate of 5.2% compound annually. write a function to re[resent the total earnings e(t) as a function of time in years,t.

Answers

Answer:$1,942.50

Step-by-step explanation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.5%/100 = 0.025 per year.

Solving our equation:

A = 1850(1 + (0.025 × 2)) = 1942.5

A = $1,942.50

The total amount accrued, principal plus interest, from simple interest on a principal of $1,850.00 at a rate of 2.5% per year for 2 years is $1,942.50.

Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.

Answers

solution

-4(327x-451)

help me plss ty in advance:))​

Answers

Answer:

AACBC7

Step-by-step explanation:

Q1

A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.

Q2

Data plotted against the frequency in a histogram is class interval.

Q3

The data plotted against the frequency in an ogive is cumulative frequency.

Q4

A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.

Q5

Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11

Mean = 4 + 7 + 21 + 21 + 24 / 11

Mean = 77/11

The mean is 7

Q6

The median is the middle term.

The median of the distribution is 7

Solve the equation
3(2x + 2) = 3x - 15

A. X = -7
B. X = -17/3
C. X = 3
D. X = 7

Answers

When starting a problem, almost every single problem needs to be understood by the person answering so they can see what needs to be done.  In this example, we are given an expression and told to solve the equation which means that we need to solve for the unknown, in this case x.

Now that we know what we must do, we can start to solve the problem. Looking at the problem we can see that the step that we must take is to distribute 3 into the parenthesis.

Distribute

[tex]3(2x + 2) = 3x - 15[/tex][tex](3*2x) +(3* 2) = 3x - 15[/tex][tex](6x) +(6) = 3x - 15[/tex][tex]6x+6 = 3x - 15[/tex]

Now that we distributed the values inside of the parenthesis we can move onto the next step which is to help isolate x.  What we should do is subtract 6 from both sides which will help leave x with its coefficient alone.

Subtract 6 from both sides

[tex]6x+(6 - 6 )= 3x +(- 15 - 6)[/tex][tex]6x= 3x +(- 15 - 6)[/tex][tex]6x= 3x - 21[/tex]

The next step that we should take to help solve for the unknown is to subtract 3x from both sides.

Subtract 3x from both sides

[tex](6x - 3x)= (3x - 3x) - 21[/tex][tex](6x - 3x)= - 21[/tex][tex]3x = - 21[/tex]

The final step that we must take to help isolate the unknown would be to divide both sides by 3.  This would remove the coefficient from x and we would get -21 divided by 3.

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{- 21}{3}[/tex][tex]x = \frac{- 21}{3}[/tex][tex]x = -7[/tex]

Therefore, after simplifying the expression that was given to solve for the unknown we were able to determine that the option that would best match the solution is option A, x = -7.

Answer:

a) x = -7

Step-by-step explanation:

Given: 3(2x + 2) = 3x - 15

1. Distribute:

3(2x) + 3(2) = 3x - 15

⟹ 6x + 6 = 3x - 15

2. Subtract 3x from both sides:

6x - 3x + 6 = 3x - 3x - 15

⟹ 3x + 6 = -15

3. Subtract 6 from both sides:

3x + 6 - 6 = -15 - 6

⟹ 3x = -21

4. Divide both sides by 3:

3x ÷ 3 = -21 ÷ 3

x = -7

5. Check your work:

3(2x + 2) = 3x - 15

3(2(-7) + 2) = 3(-7) - 15

3(-14 + 2) = -21 - 15

3(-12) = -21 - 15

⟹ -36 = -36 ✔

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the sum of two consecutive integers is 65. what are the two integers? show steps please.

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

[tex]\longmapsto\sf{x+x+1=65}[/tex]

Combine like terms:

[tex]\longmapsto\sf{2x+1=65}[/tex]

Subtract 1 from both sides of the equal sign:

[tex]\longmapsto\sf{2x=64}[/tex]

Divide both sides by 2:

[tex]\longmapsto\sf{x=32}[/tex]

To find the second integer, subtract the first integer from the sum of the two integers:

[tex]\longmapsto\pmb{65-32}[/tex]

[tex]\longmapsto\pmb{33}[/tex]

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

what is 10 1/2 divide by 2 1/4

Answers

Answer: 4 2/3 or 14/3 if wanting a improper fraction.

please help with this math problem i will give brainliest
Write the rational number as a decimal.
−38 =

Answers

Answer:

-0.38

Step-by-step explanation:

Determine the value of Y.

Answers

Answer:

y=10°

Step-by-step explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°

Opposite angles are equal

3x+18=5x-422=2xx=11

Now

linear pairs are supplementary

3x+18+3(4y+3)=1803(11)+18+12y+9=18033+18+12y+9=18012y+60=18012y=120y=10

ANYONE?? PLEASE HELP??!

Answers

Answer:

the answer is B:42.8

Step-by-step explanation:

because when u do this :24+58+30+42+87+11+ 12+55+91+18 = 428

the total numbers here is 10. so 428÷10 = 42.8

That is how u get ur final answer

u hope have helped you dear

What is the percentage of 0,4(That is a decimal fraction)​

Answers

Answer:

0.4= 4/10= 2/5

Step-by-step explanation:

The first decimal place after the point represent the place holder "tenth's"

0.4 = 4/10

This can simply to 2/5

Hope it will help:-)

2 over 5

Step-by-step explanation:

0.4=4 over 10 simplify=2over5

Convert 650 ml into litres

Answers

Answer:

.65 litres

Step-by-step explanation:

Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
2x - 5x =

Answers

i beliebe 3×=0

ao the answer should be x/0

Answer:

-3x

Step-by-step explanation:

The order of where the terms are placed definitely matter for subtraction. 5x-2x is 3x, but because the smaller number is first, we've gone into the negatives. Think of it like this:

2x - 5x

-2x   -2x

__    __

0      -3x

Because we still have the - in front of the 3, it is a negative 3.

Hope this helps!

It takes 15 people to play a 13 minute pool game. How many people would it take to play a 39 minute game?

Answers

Answer:

depends on how much beer is left

Step-by-step explanation:

45 people would it take to play a 39 minute game.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What is percentage?

The percentage is defined as the ratio expressed as a fraction of 100.The percentage is denoted by sign of %.For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.

Given that,

It takes 15 people to play a 13 minute pool game

So, a 23 minute pool game played by 15 people

A one minute pool game played by 15/13 people

The ratio of one minute pool game to people = 15 : 13

A 39 minute pool game played by number of people = 39(15/13)

A 39 minute pool game played by number of people = 45

Hence, 45 people would it take to play a 39 minute game.

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Help
if g(x)=x+1 and h(x)=4-x, what is the value of (gh)(-3)
---------
x-2

Answers

Answer: 8/5

Step-by-step explanation:

[tex](g \circ h)(-3)[/tex] is the same as g(h(-3)).

[tex]h(-3)=4-(-3)=7\\g(h(-3))=g(7)=\frac{7+1}{7-2}=\boxed{\frac{8}{5}}[/tex]

prove that n^2 +(n+1)^2 is always an odd number

Answers

I assume [tex]n\in\mathbb{Z}[/tex] (or at least [tex]n\in\mathbb{N}[/tex]).

[tex]n^2+(n+1)^2=n^2+n^2+2n+1=2n^2+2n+1=2(n^2+n)+1[/tex]

The above is always odd, because one of the factors of [tex]2(n^2+n)[/tex] is even, which makes the product even as well, and 1 is odd, and the sum of an even number and an odd number is an odd number.

The point-slope form of the equation of the line equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1)

Answers

Answer:slope is 1/2, intercept is 2.5

Step-by-step explanation:slope is coefficient of x. Intercept is sun of constants on right side when left side is y. Add 3 to both sides

What should be done so that the expression will have a value of 10?

12 - 2 + 2 2 ÷ 8

Answers

answer: 10
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!
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