Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.

A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.

What is AA similarity criterion?

According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."

According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.

Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.

Learn more about AA similarity criterion, Here:

https://brainly.com/question/13619401

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Related Questions

What is the slope of the line ?

Answers

Answer:

slope: 3/1.5

Step-by-step explanation:

You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5

Evaluate −6 − (−4). (10 point)
−10
−2
24
2

Answers

Answer: negative 2 (-2)

Step-by-step explanation:-6+4=-2

Answer:

−2

Step-by-step explanation:

−6 − (−4)

= −6 − (−4)

= −6 + 4

= −2

Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?

pls help

Answers

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Answer:

Gary

I have no idea how to explain this but I do know for a fact that the answer is Gary.

simplify expressions for 3c-4m and m=5 and c=4

Answers

Answer:

12-20=-8

Step-by-step explanation:

Multiply 3 by c which is 4=12  multiply -4 by m which is 5 which equals 20

Pls give brainliest

-8 because you plug in both the numbers in the corresponding letter 12-20

What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?

Answers

Answer:

the second option

Step-by-step explanation:

Write the word sentences as an equation. Then solve the equation.

A number k increase by 7 is 34.

An equation that represent this word sentences is?

The solution is k=?

Answers

Answer:

k+7=34

k=27

Step-by-step explanation:

what grade is this for?

hope this helps

4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answers

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?

Answers

Answer: 53.5 seconds

Step-by-step explanation:

BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

370-165=205

205-100=105

105/35=3

what is the solution of this proportion 4/9 = 6/d

Answers

Answer:

d = 2/27

Remember that when a variable is times with a number you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you and thank you !!

so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?

Answers

Answer:

6

Step-by-step explanation:

3 × (10 - 6) ÷ 2 =?

The strategy that we are using here is PEMDAS:

First, you subtract 6 from 10 which is 4. 10 - 6 =4

Next, you multiply 4 by 3. 4 × 3 = 12

Then, you divide 12 by 2. 12 ÷ 2 = 6

Your answer is 6.

Your welcome. Showed my work below.

PLEASE ANSWER THIS!!!

Answers

Answer:

the answer would be 85% bsjdjdmzmcnd

Answer:

75%

Step-by-step explanation:

Total Questions= 12

Answered Correctly= 9

%=9/12 x 100

%= 0.75 x 100

%= 75%

PLEASE MARK ME AS BRAINLIEST!!!!

HELP ME NOW ASAPPP UnU

Answers

56.757 IF U DIVIDE BY IT U GET 676.75

Answer:

56.757 and if u divide it : 676.75

Step-by-step explanation:

uwu

1 3/4+1/6+____=7 1/2
Plz help

Answers

Answer:

7/4 +1/6 +X=15/2

1/6+X=15/2-7/4

1/6+X=30/4-7/4

X=23/4 - 1/6

X= 138-4/24

134/24

5.58333

Step-by-step explanation:

Answer:

6 4/12

Step-by-step explanation:

1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2

y−34=414 what is the answer

Answers

Answer: y = 448

Step-by-step explanation: I’m just good

Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u

Answers

Answer:

[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = x[/tex][u] Basic Power Rule:                                                                                     [tex]\displaystyle du = dx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]:                                             [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]

Step 3: integrate Pt. 2

[Integral] Integration by Parts:                                                                      [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]

Step 4: Integrate Pt. 3

Identify variables for u-substitution.

Set u:                                                                                                             [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]:             [tex]\displaystyle du = 7 \ dx[/tex]

Step 5: Integrate Pt. 4

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution:                                                                               [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration:                                                               [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute:                                                                                       [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor:                                                                                                           [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)

Answers

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7

The question is in the jpg.

Answers

First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2

Answers

Given:

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.

To find:

The function.

Solution:

In option A,

[tex]h(x)=x^2+2[/tex]

Putting x=0, 1, 2, 3 respectively, we get

[tex]h(0)=(0)^2+2=2[/tex]

[tex]h(1)=(1)^2+2=3[/tex]

[tex]h(2)=(2)^2+2=6[/tex]

[tex]h(3)=(3)^2+2=11[/tex]

The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.

In option B,

[tex]h(x)=0.5x^2+1.5[/tex]

At x=0,

[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]

So, option B is incorrect.

In option C,

[tex]h(x)=2x^2[/tex]

At x=0,

[tex]h(0)=2(0)^2=0\neq 2[/tex]

So, option C is incorrect.

In option D,

[tex]h(x)=x+2[/tex]

At x=2,

[tex]h(2)=(2)+2=4\neq 6[/tex]

So, option D is incorrect.

Therefore, the correct option is A.

Selma wants to know if seventh-grade students prefer to do their math homework in silence or with background music. She polled the 21 students in her music class. Seven students preferred to do their math homework in silence, and fourteen students preferred to do their math homework with background music. What type of sampling is demonstrated in the situation above?
A. random sampling
B. census
C. convenience sampling
D. Systematic Sampling

Answers

Answer:

D.

Step-by-step explanation:

She used systematic sampling by asking the class to vote by using a type voting system this will help by choosing the highest number as the vote she will go through with.

A_________is a set that is contained in a larger set.

Answers

A subset is a set that is contained in a larger set.

andre is making a dessert that calls for 1 1/3 cups of butter if he already has 1/4 cup of butter how much more does andre need

Answers

Answer:

1 1/12 cups

Step-by-step explanation:

Required amount of butter = 1 1/3 cupsAlready has = 1/4 of a cup

Needed:

1 1/3 - 1/4 = 4/3 - 1/4 = 16/12 - 3/12 = 13/12 = 1 1/12 cups

Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.

Answers

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

Sear's has a dishwasher that costs $679. It is on sale for 35% off - How much would you pay?

A.) $375.75
B.) $427.35
C.) $441.35
D.) $237.65

Answers

Kk Sksksk 92929 aka D
It’s D
just multiply .35 and 679!

An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices

Answers

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?

Answers

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract:                                                                                              [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify:                                                                                                [tex]\displaystyle m=\frac{1}{3}[/tex]

i can’t figure out how to do this

Answers

Answer:

i need to know the answer choices

Step-by-step explanation:

Answer:

-25 is correct I think

Step-by-step explanation:

A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.

How high off the ground is the top of the monument?

Please help

Answers

Answer:

65 meters

Step-by-step explanation:

The height of the monument off the ground = x + 5

Find x using Pythagorean Theorem:

x = √(61² - 11²)

x = √3,600

x = 60 meters

Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters

Answer: 65

Word Problem:  A Monument in the shape of a right triangle sits on a            rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.

Question: How high off the ground is the top of the monument?

What expression is equivalent to (-18) - 64n ?

A -2 (9 - 32n)
B 2 (9 - 32n)
C 2 (9 + 32n)
D -2 (9 + 32n)

Answers

Answer:

D

Step-by-step explanation:

Distribute the -2 to the 9 to get -18 and then to the 32n giving you -64n

There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?

Answers

Answer:

like 20 percent

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