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 two circles have different diameters in the ratio 5:3.
(A) Calculate the radius of circle B if circle A has a radius of 35mm

(B) Calculate the area of circle A giving your answer to the nearest cm squared.

Answers

Answer:

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

Look at the point P on the number line.
Which number lines have a point that is equal to point
P? Check all that apply.
р

Answers

Answer:

the answer is A and C

Step-by-step explanation:

yw

kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?

Answers

If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.

How to find the height?

Given data:

kiersten height = 6ft tall

Shadow = 9 feet away

Shadow of tree = 84 feet

The equation that will be use to find the height is 6/9= x/84

Let x represent the tree's height

So, let solve for x

6/9= x/84

Cross multiply:

9x = 6(84)

9x = 504

Divide both side by 9x

x= 504/9

x = 56 feet

Therefore we can conclude that the height of the tree is 56 feet.

Learn more about height here:https://brainly.com/question/1739912

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8. Jackson bought three CDs. A week later half of all his CDs were
destroyed in a fire. There are now only 24 CDs left. How many did
he start?

Answers

24+24 is 48
If he started with 48 then half of 48 is 24
48? It says 3 cds in the beginning but is asking how many there were in the beginning but if I ignore that then I get 48

pedro placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $219. the next order for 3 apple tree and 4 azaleas came to $132. what was the unit cost for each apple tree and for each azalea?

Answers

X = apples trees
Y= azaleas


6x + 5y = 219
3x + 4y = 132

-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15

6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24

The cost for each apple tree is $24 and fit each azalea is $15

The cost for each apple tree is; $24 and fit each azalea would be; $15.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider X = apples trees and Y= azaleas

Therefore, the system of equation is;

6x + 5y = 219

3x + 4y = 132

Solving;

-2(3x + 4y = 132)

-6x - 8y = -264

6x + 5y = 219

-3y = -45

-3y/-3 = -45/-3

y = 15

Now substitute;

6x + 5y = 219

6x + 5(15) = 219

6x + 75 - 75 = 219 - 75

6x/6 = 144/6

X = 24

Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.

Learn more about equations here;

https://brainly.com/question/25180086

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Sadie's office had already recycled 13 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 8 kilograms of paper each week. How many weeks will it take Sadie's office to recycle a total of 29 kilograms of paper?

Answers

Answer: 2 weeks

Step-by-step explanation:

The office had already recycled 13 kilograms of paper this year and need to recycle a total of 29.

The number of kilograms left is:

= 29 - 13

= 16 kilograms of paper

Recycling at a rate of 8kg per week, the number of weeks it will take them to reach 16 kilograms is:

= 16 / 8

= 2 weeks

PLEASE HELP LOL
What is the missing perfect square?
25, 36, 49, _____, 81, 100
A)50
B)58
C)60
D) 64

Answers

Answer:

The answer is D. 64 because after 49 it is 64 (8*8=64 and 7*7=49)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

What is the value of the expression “two less than six times the difference of a number and five" when n =
22
16
ОООО
32
31

Answers

It’s 16 because Ik I did it before so do y worry

Number Lines
F is between E and G. EF= 9 and FG= 11. what is the length of EG?

Answers

Answer:

20

Step-by-step explanation:

EG = EF + FG

Its given in the question that -

• EF = 9

• FG = 11

So,

EG = 9 + 11 = 20

=0.4 × 0.3
here's a picture:D

​

Answers

Answer: The answer is 0.12

Step-by-step explanation:


An 80% confidence interval is found to be (26, 38). What is the margin of
error?
A. 9.6
B. 12
C. 6
D. 4.8

Answers

Answer:

C : 6

Step-by-step explanation:

What is 3 2/3 + 4 3/4 equal to

Answers

Answer:

7 2/3 is the answer but it is equal to 23/3.

Step-by-step explanation

23/3 is an improper fraction. I hope this helps you!

SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER

Answers

X=1
F(x) = 2
I am pretty sure I hope this helps

Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5

Answers

Answer:

C. 2, 4, 8, 16, 32

Step-by-step explanation:

C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.

Which Pixar characters do you think were the hardest to bring to the screen, and why?

Answers

Pepita from coco (big flying cat). Do you seeee how colorful and detailed that thing was

1.5 x -3 4/5

multiply

Answers

Answer:

I'm pretty sure it's -5.7

13 POINTS :( PLEASE HELP WILL MARK BRAINLIEST!!! ITS TIMED PLSSSSSSS

Answers

Answer:

4.8 and 0.6

Step-by-step explanation:

Please help me vote brinlest

Answers

Answer:

14 > 6

Step-by-step explanation:

because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number

Quadrilateral MNPQ has vertices M(0,6), N(4,4), P(6. – 1), and Q(2,0). Determine the coordinates of the vertices of the image of
the quadrilateral after the translation (x,y) → (x – d4, y +1).

Answers

Answer: M(-4,7)P(0,5)Q(-2,1)

Step-by-step explanation:

The translation is telling you to subtract each x value by 4 and add 1 to each y value.

3x + 2x +9 = 10-14
Solve for x

Answers

Answer:

-2.6

Step-by-step explanation:

3x+2x+9=10-14

5x+9=10-14

5x+9=-4

5x=-4-9

5x=-13

x=-13/5

x=-2.6

Help me please I will give brainliest.

Karris ran eight eighteenths of a kilometer and cycled nine eighteenths kilometers in a race. How many kilometers was the race in all?


(A ) 1 kilometer


(B ) seventeen thirty sixths kilometer


(C ) one eighteenths kilometer


(D ) seventeen eighteenths kilometer

Answers

Answer:

D

Step-by-step explanation:

Race through running: 8/18th's

Race through cycling: 9/18th's

Total race covered is: 17/18th's

What is x/y 2/130 4/100 6/70
pls help

Answers

Answer:

It is inversly proportional, there is no constant, the directio is from left to right and from up to down, as x gets larger, y gets less

Step-by-step explanation:

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

is 19, and 40 a prime or composite number

Answers

Answer:

19 is a prime number. 40 is a composite number

Step-by-step explanation:

40 can be divided by number other than 1 and its self

19 can only be divided by 1 and itself

Answer:

19 is composition 40 is prime number

−9,000÷3=−3,000 What does -3,000 tell me

Answers

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

I really need help. I don’t understand

Answers

Answer:

ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.

As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.

If you post the graph ,I will give you full answer

Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.

Answers

Answer:

Q= 126°

Step-by-step explanation:

Using the picture given, because these are parallel lines broken by a transversal, we can say the following

M=A=Q=F

B=C=D=G

Since, for example, M and C are the same line, we can say that M+C=180 and so on.

M=Q

Q= 126°

-8t = 64

Answer:
t = ?

Answer the ? Mark pls

Answers

Answer:

t= -8

Step-by-step explanation:

-8t= 64

t= 64/-8= -8

hope it helps! please mark me brainliest..

thank you!! have a good day ahead

Answer:

t = -8

Step-by-step explanation:

Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.

-8 x -8 = 64

I hope this helps!

5(-1x+5)=10 pls help

Answers

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Answer: x = 3

Step by step

5 ( –1x + 5) = 10

(1) Distribute

= – 5x + 25 = 10

(2) Subtract 25 from both sides of the equation

= –5x + 25 -25 = 10 – 25

(3) Simplify

= –5x = – 15

(4) Divide both sides of the equation by the same factor

= –5x/–5 = –15/ –5

(5) Divide the number

= x = –15/–5

Answer: x = 3



The equation of line L, is y= 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.

Answers

Answer:

Step-by-step explanation:

2y=10x-3( i arranged it to make it easier)

y=(10x-3) divided by 2

y=5x-1.5

they are parallel because they have the same gradient/slope number.

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