Using the triangles shown below, explain how the ASA congruence criteria follows from the definition of congruence in terms of rigid motions.

Answers

Answer 1

Answer:

I have this question too

Step-by-step explanation:

All i know is that the ASA shows that even when they are rotated or translated due to rigid motions, they are still congruent because it shows that the angles and sides are equal.


Related Questions


1) In the given ABC; AB = BC and BD =
BC and BD = CD. Find the value
of a°, bº and cº.

Answers

Answer:

a = b = c = 45°

Step-by-step explanation:

[tex]In\: \triangle BDC, \\\\

BD = CD.... (given) \\\\

\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\

\therefore a\degree = b\degree.... (1)\\\\

m\angle BDC= 90\degree \\\\

\because m\angle BDC + a\degree + b\degree=180\degree \\\\

90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\

2a\degree=180\degree -90\degree\\

2a\degree= 90\degree\\\\

\therefore a\degree=\frac{ 90\degree}{2} \\\\

\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\

\implies \huge\red {\boxed { b\degree=45\degree}} \\\\

In\: \triangle ABC, \\\\

AB = BC.... (given) \\\\

\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\

\therefore c\degree = b\degree\\\\

\because b\degree=45\degree \\\\

\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]

graph the image of triangle PQR after a reflection across the line y = 2​

Answers

Answer: Refer to the diagram below

P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)

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

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

R(-6,4)Q(1,9)P(-7,9)

Now all we have to do it plot these points, and then we have the triangle PQR

Emily is at the grocery store and plans on buying cans of soup and frozen dinners, but is concerned about their sodium content. Each can of soup has 400 mg of sodium and each frozen dinner has 250 mg of sodium. How many milligrams of sodium are there in 2 cans of soup and 5 frozen dinners? How many milligrams of sodium are there in cc cans of soup and ff frozen dinners

Answers

Answer:

20

Step-by-step explanation:

Jose uses the pattern in rows 1 and 8 in the multiplication table below to find ratios that are equivalent to 1:8.

A multiplication table. In the row labeled 1, the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are highlighted. In the row labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.

If Jose extends the pattern in the highlighted rows to include a ratio that has a first term of 10, what would be the second term of the ratio?
10
20
80
90

Answers

Answer:

10

Step-by-step explanation:

Answer:

Your answer would be 20 not 10

Step-by-step explanation:

trust me i took the test

The question is below thanks

Answers

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

The y-intercept of 2x - y = 6 is -6.
O False
True

Answers

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

Use the graph below to find f(-2) =

Answers

f(-2) is when x = -2
On the graph it’s (-2, 2)
Solution: f(-2) = 2

Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.

Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.

Answers

Answer:

a. 0.8837

b. 0.6914

c. 10 student

Step-by-step explanation:

a. using markov's inequality; P(u >= X)<= E(u) / X

   mean u = 76

   X, test score = 86

= 76 / 86 = 0.8837

b. variance v = 25

   The test is between 65 and 85 P(65 <= X <= 85);

   P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)

   = P(-11 <= |X - u| <= 9)

   = P(|X - u| <= 9)

using the chebyshev's inequality;

P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2

   = 1 - 25/ 9^2

   = 1 - 25/81 = 1 - 0.3086 = 0.6914

c. P(|X - 76| <= 5) = 0.9

still using chebyshev's inequality;

= 1 - variance / lower limit^2 (E)

where E = 1 - 0.9 = 0.1

lower limit = 5

= 1 - 25/ 5^2 (0.1) = 10

2x – 10 = 4x
solve for x​

Answers

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

1 block: 19 houses = 20 blocks:???? Houses?

Answers

Answer:

380

Step-by-step explanation:

as 1 block =19 houses

so 20 blocks*19= 380 houses

Answer: 380

Step-by-step explanation: 19 x 20 = 380

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *

Answers

48/4 = $12 per ticket
12 * 11 = $132
It would cost $132 for 11 tickets

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now

Answers

Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

Merry Christmas please help

Answers

Answer:

A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence W

A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip?

Answers

♡ Answer ♡

$78

♡ Step-by-step explanation ♡

  In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.

  As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.

  The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.

  So, the total (with the meal and the tip) is $78.

  A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!

Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?

Answers

Answer:

Step-by-step explanation:I think it is 5005

PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!

Answers

Step-by-step explanation:

For the left end of the function, it moves up towards positive infinity.

For the right end of the function, it movea down towarda negative infinity.

Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)

(WILL GIVE BRAINLIEST, TIMED) - Suppose z = cos(2pi/3)+isin(2pi/3) . What is z^4?

Answers

Answer:

B

Step-by-step explanation:

edge

Answer:

B. 1cos(8pi/3) + i sin(8pi/3)

Step-by-step explanation:

How do you write 7.3 x 10-1 in standard form?

Answers

000074 .. hope that helps :)

if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals

Answers

Answer:

[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]

[tex]\frac{8r+8s}{15x-15y} = ?[/tex]

Step 2: Find Unknown

Multiply both sides by 8/15:                    [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply:                                  [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify:                                                   [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

Proving Triangles Similar CFU
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A for the last two responses.
F
יח
12
18
8
14
10
2
21
Are the triangles similar?
How are they similar?
Complete the similarity statement: AY FN - A

Answers

Answer:

yes

they are similar because they are proportionally related

YRW

65.3 divide by 20= what's the quotient

Answers

Answer: 3.265

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.

Answers

Answer: 600 m

Step-by-step explanation:

Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 40,000.

This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.

Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.

Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.

Find the value of x.



Group of answer choices

77

34

69

146

Answers

Answer:

69

Step-by-step explanation:

Use the 3x-2 and take it out

A rectangular garden is fenced on all sides with 246 feet of fencing. The garden is 7 feet longer than it is
wide. Find the length and width of the garden.
(w + 7) feet=top w=side

The length of the garden is
feet.
The width of the garden is
feet.

Answers

Answer:

4

Step-by-step explanation:

rewrite in standard form y-2=4/3(x-1)

Answers

Answer:

y= 4/3x + 2/3

Step-by-step explanation:

distribute the 4/3 into the parenthesis. Rearrange and solve

y = 4/3(x - 1) + 2
y = 4/3x - 4/3 + 2
y = 4/3x + 2/3
3y = 4x + 2
Stand form: Ax + By = C
Solution: 4x - 3y = -2

A ps4 uses uses 8.8 watts when on stand by mode. If electricty in your area costs 0.10$ kwh, how much would this cost?

Answers

Answer0.88:

Step-by-step explanation: because for every watt 10 cents or .10 is being used so since there is 8.8 watts it would be a total of 0.88 in your area

In how many zeros does 75! end?

Answers

Answer: 0

Step-by-step explanation: 0 because 75 doesn't have a 0

on Wednesday, James slept for [tex]\frac{3}{8}[/tex] of the day.
how many hours did James spend sleeping?

Answers

Answer:

I believe he slept for 9 hours of the day

Step-by-step explanation:

⅜ of 24

24 ÷ 8 = 3

3 × 3 = 9

The number of hours James slept is 9 hours.

What is an expression?

In mathematics, an expression is a combination of symbols and numbers, often containing variables, that represents a quantity or a relationship between quantities.

Expressions can be simple or complex, and they can involve a variety of mathematical operations such as addition, subtraction, multiplication, and division.

The number of hours will be calculated as,

E = ⅜ of 24

E = 3 x ( 24 ÷ 8 )

E = 3 × 3

E = 9 hours

Therefore, the number of hours will be 9.

To know more about an expression follow

https://brainly.com/question/30672422

#SPJ3

write five numbers that are greater than 75,330,000 but less than 75,410,000

Answers

Answer:

75,310,000

75,340,000

75,360,000

75,370,000

75,380,000

75,390,000

75,400,000

Please help soon! Thanks! Solve for x

Answers

Answer:

[tex]x=30^{\circ}[/tex]

Step-by-step explanation:

Looking at [tex]\triangle LMN[/tex]:

[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]=45^{\circ}[/tex]

Looking at [tex]\triangle KNM[/tex]:

[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])

[tex]=75^{\circ}[/tex]

[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])

[tex]75+2x+45 = 180[/tex]

[tex]2x+120 = 180[/tex]

[tex]2x=60[/tex]

[tex]x=30^{\circ}[/tex]

Hope this helps :)

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