Mathematics High School

Question 11 of 11 -

Geo S5-6_FSQ_OL_FY21

Question: 1

Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown.

с

D

A

B

E

Which postulate or theorem establishes that the triangles are similar?

Answers

Answer 1

Answer:

AA similarity

Step-by-step explanation:

Your question is not well presented.

See attachment

Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

Question 11 Of 11 -Geo S5-6_FSQ_OL_FY21Question: 1Triangle ABC Is Rotated 180 Degrees Around Point B

Related Questions

The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10

Answers

Answer:

Here Is Your Answer Less Than 0 But Greater Than 10

I Need Help!! Its Homework​

Answers

What homework are you talking about
I can help you but I don’t know what to help you with.

Find the value of x using the pythagorean theorem.

Do the side lengths form a pythagorean triple?

Answers

Answer:

[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]

plzz ,thnx my answer...

Solve.
-2 1/3 - (-5)

Answers

Answer:

2.66666666667

Step-by-step explanation:

Answer: fraction: 8/3

Step-by-step explanation: mixed number: 2 2/3

-8 + 70/-7 = ?
Evaluate?

Answers

Answer:

-18

Step-by-step explanation:

-8 + 70/-7

-8 - 10

-18

Select all the points that are on the graph of the line 3x+2y=24

Answers

Answer: It would be (0,12) for sure but I'm not sure about the rest

Step-by-step explanation:

Good Mornting hru?
3(7)+4(6)=

Answers

Answer:

45

Step-by-step explanation:

im good, u?

If you divided 656 into 32 equal parts , each containing a whole number of square miles, how large would each part be? How large would the remaining area be?

Answers

Each part would be 20 square miles and the remaining area is 1/2 of a mile. I’m just going with what the calculator tells me...

The ratio of cats to dogs at a pet store is
4:5, which means...

Answers

Answer:

Huhhhhhhhhhhhh 4x and 5x


MATH LOVERS PLS!!!!!!!

Answers

Answer:
7) C
8) A
9)D
10)B

is 315/8 rational or irrational

Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

the measure of ∠G is 82°. What is the measure of its compliment?

Answers

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485

Answers

1x - 13y + 475

Step-by-step explanation:

[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]

3x + 4y - 2x - 2 + 8y - 8 - 25y + 485

3x - 2x + 4y + 8y - 25y - 2 - 8 + 485

1x + 4y + 8y - 25y - 2 - 8 + 485

1x + 12y - 25y - 2 - 8 + 485

1x - 13y - 2 - 8 + 485

1x - 13y - 10 + 485

1x - 13y + 475

HOPE THIS HELPS YOU

The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width

Answers

Answer:

Length is 336 in, width is 252 in

Step-by-step explanation:

Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is  4:3, multiply 84 by 4 for the length and 84 by 3 for the width.

The length and the width of the rectangle are 28 in and 21 in, respectively.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.

The area of a rectangle is given by the formula:

Area = Length × Width.

Given that the area is 588 in², we can set up the equation:

(4x)(3x) = 588

12x² = 588

Dividing both sides of the equation by 12:

x² = 588 / 12

x² = 49

Taking the square root of both sides:

x = √49

x = 7

So, x = 7.

Now we can find the length and width:

Length = 4x = 4(7) = 28 inches

Width = 3x = 3(7) = 21 inches

Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Which price is equivalent to $1.50 for 1 pound of apples?​

Answers

Answer: $3.00 for 2 pounds of apples

Step-by-step explanation:

Answer:

A: 6 pounds of Apples for 9$

9/6=1.5=$1.50 per pound

Step-by-step explanation, no need to.

What is the area of the triangle?
7
5
4

Answers

which number is the height? and which number is the base?

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it

A TV has an original price of $549. Enter the new price after the given percent of
change. 30% increase

Answers

Answer: $713.7

Step-by-step explanation:

First, multiply the original price by the percentage ( In this case, 549 x .30)

Now your sum is $164.7 Add that to the original price and you get your answer.

Drag each tile to the correct box.
Each of these equations holds true for one value of x from the set {5, 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true.
6x - 15 = 75
2(2x - 1) = 46
X + (x - 10) = 26
5x - 3x = 10
Reset
Next

Answers

Step-by-step explanation:

6x - 15 = 75, 6x = 90, x = 15.

2(2x - 1) = 46, 2x - 1 = 23, x = 12.

x + (x - 10) = 26, 2x = 36, x = 18.

5x - 3x = 10, 2x = 10, x = 5.

Hence the equations

in increasing order of x-values are:

5x - 3x = 10,

2(2x - 1) = 46,

6x - 15 = 75, and

x + (x - 10) = 26.

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

please help I'll give brainliest

Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose​

Answers

Answer:

Option A

Step-by-step explanation:

Let the amount be P

Compound interest:

P*(1 + 0.027)^5 = P*1.1425 rounded

Simple interest:

P*(1 + 0.028*5) = P*1.14

Alice should choose compound interest, Option A

Vertical Angles: Find the Supplementary Angles (photo provided)

Answers

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.

Answers

Answer:

3.3 or 10/3

Step-by-step explanation:

A. The rate of change of function A is -2 The rate of B is 8

B. The rate of hangs function A is 1 The rate of change of function B is 8

C. The rate of change of function A is -2 The rate of change of function B is 4

D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4

Answers

D I believe



If it’s not I’m sorry

For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.

Answers

Answer:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = 340

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

The explation of the answer is now given as follows:

Let a represents number of tickets sold in advance. Therefore, we have:

a = number of tickets sold in advance at $3 each

a + 30 = number of tickets sold  at the door at $5 each

The total amount collected can be represented by this equation:

3a + 5(a + 30) = 2630

Solving for a, wee have:

3a + 5a + 150 = 2630

8a = 2630 - 150

8a = 2,480

a = 2,480 / 8

a = 310

Therefore, this implies:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = a + 30 = 310 + 30 = 340

A function rule takes an input(x) and coverts into an output(y), by increasing 4 times the inpuy by 36. Write an equation for the rule and determine the output for this rule when the input is 3

Answers

Answer:

[tex]y = 4x + 36[/tex]

[tex]y = 48[/tex] when [tex]x = 3[/tex]

Step-by-step explanation:

Given

x = input

y = output

Required

Determine the equation of y

The process to get y is as follows:

Multiply x by 4: x * 4

Increase the result by 36: x * 4 + 36

Hence:

[tex]y = x * 4 + 36[/tex]

[tex]y = 4x + 36[/tex]

Solving y when x = 3

Substitute 3 for x in [tex]y = 4x + 36[/tex]

[tex]y = 4 * 3 + 36[/tex]

[tex]y = 12 + 36[/tex]

[tex]y = 48[/tex]

i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)

Answers

Ok so to start you plug in what’s in the parentheses for x

4c=8-5(4c)
2-k=8-5(2-k)
4p+3=8-5(4p+3)

In the first one you distribute the -5
4c=8-20c
Then add 20c to both sides
24c=8
And divide by 24
C=8/24 or 1/3

Distributing the -5 on the second one gets you
2-k=8-10+5k
Then you combine like terms
2-k=-2+5k
Subtract 5k from both sides
2-6k=-2
Subtract 2 from both sides
-6k=-4
Divide by -6
K=4/6 or 2/3

and lastly the equation is 4p+3=8-5(4p+3)

So you distribute -5
4p+3=8-20p-15
Combine like terms
4p+3=-20p-7
Add 20p to both sides
24p+3=-7
Subtract 3 from both sides
24p=-10
And then divide by 24
P= -10/24 or -5/12

Need help tx sm I appreciate it

Answers

Answer:

x =11

Step-by-step explanation:

Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle

From the diagram

Interior angles = 5x +10 and 58

Interior angle = 11x+2

Equate both expressions

5x + 10 + 58 = 11x+2

5x - 11x  = 2 - 10 - 58

-6x = 2-68

-6x = -66

x = -66/-6

x = 11

Hence the value of x is 11

PLEASE HELP I WILL AWARD BRAINLIEST

Write a linear function f with the given values.

x f
-4 -2
-2 -1
0 0

f =______??????

Answers

By the table, it seems to be that f = 1/2x

does 18/24 and 15/20 form a proportion

Answers

Answer: yes

Step-by-step explanation:

when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent

17.82 + 6.4 =
???????

Answers

Answer:

24.22

Step-by-step explanation:

simple addition right lol

Answer:

24.22

Step-by-step explanation:

!!!!!!!!!!!

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