What additional information could be used to prove that the triangles are congruent using AAS or ASA? Select three options. AngleB ≅ AngleP and BC ≅ PQ AngleA ≅ AngleT and AC = TQ = 3.2cm AngleA ≅ AngleT and AngleB ≅ AngleP AngleA ≅ AngleT and BC ≅ PQ AC = TQ = 3.2 cm and CB = QP = 2.2 cm

Answers

Answer 1

Answer:

a b d

Step-by-step explanation:

bigbrain

Answer 2

The additional information that could be used to prove that ΔABC ≅ ΔPTQ using AAS or ASA are:

1. ∠B ≅ ∠P and BC ≅ PQ

2. ∠A ≅ ∠T and AC = TQ = 3.2cm

4. ∠A ≅ ∠T and BC ≅ PQ

Recall:

For two triangles to be congruent by AAS Congruence Theorem, they must have two pairs of congruent angles and a pair of non-included congruent side.For two triangles to be congruent by ASA Congruence Theorem, they must have two pairs of congruent angles and a pair of included congruent side.

We are given:

∠C ≅ ∠Q

To prove that ΔABC ≅ ΔPTQ by ASA, the additional information needed are:

∠B ≅ ∠PBC ≅ PQ

Alternatively, the ASA can be used if the following additional information is given:

∠A ≅ ∠TAC = TQ = 3.2cm

Using the AAS Congruence Theorem, the additional information needed would be:

∠A ≅ ∠TBC ≅ PQ

In summary, the additional information that could be used to prove that ΔABC ≅ ΔPTQ using AAS or ASA are:

1. ∠B ≅ ∠P and BC ≅ PQ

2. ∠A ≅ ∠T and AC = TQ = 3.2cm

4. ∠A ≅ ∠T and BC ≅ PQ

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What Additional Information Could Be Used To Prove That The Triangles Are Congruent Using AAS Or ASA?

Related Questions

PLEASE HELP find the sins of z

Answers

Answer:

It's easy

Step-by-step explanation:

Check the attachment for your answer

PLEASE HELP! FIRST TO ANSWER AND I'LL MATK YOU BRAINLIEST! I MEAN IT"S ONLY 7TH GRADE MATH!!!!!!
an antelope running started and covered 1,110 feet in 15 seconds. what is the antelopes speed in feet per second. plz show your work.

Answers

speed= distance/time

= 1110/15
= 74 feet per second

(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i

Answers

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

Answer: 8 + 2i

Step-by-step explanation:

1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i

2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0

3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i

NEED YOUR HELP ASAP!!!!!

Carey correctly graphs a linear function. The slope of the functions is -1. The y-intercept is 3. Which is carey's graph?

Answers

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

help pls

6 x (2-8) + 4

Answers

Answer:

-32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

In Solving This You will Need To;

*First You Open The Bracket Which is

6×(2-8)+4

6×2-8+4

*So after this you will multiply the 6 by the 2 which is going to be;

12-8+4

*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;

4+4

Then you add the four plus 4 so the final answer will be 8

(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)

Simplify the expression

Answers

Answer:

             f(x) = x - 6             g(x) = x - 5

Step-by-step explanation:

[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]

Simplify this please (multi choice)

Answers

3 2/3 = 3x3=9+2=11/3
4 2/5= 4x5=20+2=22/5

will give brainliest!!

Evaluate each expression when
a = 3 and b = 8.
Order the results from least to greatest.

5a - 6

b/2 + 4

ab - 17

6/a + b/4

b+1/a

a+1/4b

Answers

Answer :

a + 1/4b

6/a + b/4

ab- 17

b/2 + 4

b + 1/a

5a - 6

Step-by-step explanation:

5a - 6 = 9

b/2 + 4 = 8

ab - 17 = 7

6/a + b/4 = 4

b + 1/a = 8.5

a + 1/4b = 3.03125

Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?

Answers

Answer:

48

Step-by-step explanation:

Bridget = 2      x 12 = 24

Jim = 1              x 12 = 12

Krutika = 1        x 12 = 12        ---> 24 + 12 + 12 = 48

Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee

Answers

Answer:

112 Ounces

Step-by-step explanation:

2 Cups + 4 Pints + 2 Quarts = 14 Cups

14 Cups = 112 Ounces

Answer:

144 ounces of soup

Step-by-step explanation:

2 cups= 16 ounces

4 pints= 64 ounces

2 quarts= 64 ounces

64+64+16=144

We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol

Answers

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.

Answers

Answer: ABC, ACD, CBD

Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.

The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

What is the right triangle:

It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry

Therefore, The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

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Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.

Answers

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

Help me I will give u brainlest

Answers

Answer:

(4,0)

Step-by-step explanation:

plz give brainliest!

Answer:

4,0

Step-by-step explanation:

Does this graph represent a function? khan academy

Answers

Answer:

yes

Step-by-step explanation:

its a graph

Answer:

No

Step-by-step explanation:

It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.

bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?

Answers

Answer:

12.55

Step-by-step explanation:

Subtract 20 by 7.45

The required amount bob will get in return is given as $12.55.

Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
total nill = $7.45
Total money given  = $20
Change to return = 20 - 7.45 = $12.55

Thus, the required amount bob will get in return is given as $12.55.

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I WILL MARK BRAINLIEST
Which Linear function is represented by the graph?

•f(x)-2x +1
•f(x)= -1/2x +1
•f(x)= 1/2x + 1
•f(x)= 2x + 1​

Answers

Answer:

the second one

slope is negative go down one right 2

You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.

Answers

Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Step-by-step explanation:

A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .

So , length of one pair of opposite is represented by 'l'  [l= length]

Such that sum of these two sides = l+l=2l

The other pair of opposite sides s represented by 'w'  [w= width]

Such that sum of these two sides = w+w=2w

Perimeter is the sum of sides.

So, perimeter of rectangle = 2l+2w.

The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.

Answers

Answer: 50%.

Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense

The probability is given by the equation P = 12.3 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P

Now , the equation will be

Let the probability of selecting a person owing a scooter A = 30 %

Let the probability of selecting a person owing a scooter A = 0.3

Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %

Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41

Now ,

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B

Substituting the values in the equation , we get

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle

P = 0.3 x 0.41

P = 0.123

Hence , the probability is P = 12.3 %

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What is the equation of a line that passes through the points (3,6) and (8, 4)?

Answers

Answer:

y=-2/5x+36/5

Step-by-step explanation:

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?

1. 2x + 2

2. 3x + 4

3. 6x + 8

4. 8x + 8 – 2x

Answers

Answer:

2.        3x + 4

Step-by-step explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter  p =2(L+W)

8x+8 =  2(L+W)

L+W is half, so    

 L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W    

We know that  W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4

Factor 3x^2 + 7x + 2

Answers

Answer:

(x+2)(3x+1) are the factors

Answer:

(3x+1)(x+2)

Step-by-step explanation:

I don't know how to explain it but that's what I got.

I hope it's right!

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:


1. Mrs. Rutherford planted flowers in a rectangular garden. The width of the garden is (X-5) feet and the length of the garden is 2 feet longer than the width. Write an
expression for the area of the garden

Answers

Answer:

area = 2 + (x-5) * (x-5)

Step-by-step explanation:

area of a rectangle= length * width

length = 2 + (x-5)

width = x-5

Answer:

im not sure

Step-by-step explanation:

um work here

v

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤

Answers

f(x) = 50x + 20
y= 50x + 20
120 = 50(2) + 20
0 <(or equal to) x <(or equal to) 2

their distance from home as a function of time

[tex]f(x)=50x+20[/tex]

The reasonable domain for this situation is

[tex]0\leq x\leq 2[/tex]

Given :

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h.

Given driving speed is 50 miles per hour

They already travelled 20 miles. We need to frame linear equation because we are given with constant rate.

Linear equation is [tex]f(x)=mx+b[/tex]

where m is the constant rate and b is the initial miles travelled

m=50 and b=20

the function f(x) is the distance from home

[tex]f(x)= 50x+20[/tex]

Now we find out the domain x. Given that they travelled 120 miles

so f(x) is 120

[tex]120=50x+20\\120-20=50x\\100=5x\\x=2[/tex]

Domain is the number of hours travelled

hours cannot be negative . So the domain x for this situation is

[tex]0\leq x\leq 2[/tex]

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i think of a number add 3 to it and multiply the results by 6 ​

Answers

Answer:45

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

25+(3*6)=43

I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

What is the answer to: two minus a number x is no more than 0

Answers

Answer:

x > 2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Translate

"Two" = 2

"minus" = subtraction

"a number x" = x

"is no more than" = <

"0" = 0

Step 2: Set up inequality

2 - x < 0

Step 3: Solve for x

Subtract 2 on both sides:                    -x < -2Divide both sides by -1:                        x > 2

Here we see that any value larger than 2 would work as a solution of x.

The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.

Answers

Whats the original temp? Is this the full question?

Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4


Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)

Answers

Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17
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