Mathematics High School

Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?

Answers

Answer 1

Answer:

One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.

Step-by-step explanation:

Yup

Related Questions

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
What percentage of the total area of the land on the farm is used to grow wheat?

Answers

Given :

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.

Wheat is grown on 5/8 of the land used to grow crops.

To Find :

The total area of the land on the farm is used to grow wheat.

Solution :

Land required to grow crops on every 15 acres is :

C = 4.5 or C = [tex]\dfrac{9}{2}[/tex] acres.

Now, it is given that wheat is grown on [tex]\dfrac{5}{8}[/tex] of the land used to grow crops.

[tex]W = \dfrac{9}{2}\times \dfrac{5}{8}\\\\W = \dfrac{45}{16}\ acres[/tex]

Now,  percentage of the total area of the land on the farm is used to grow wheat is :

[tex]\% W = \dfrac{45}{16\times 15 }\times 100\\\\\%W = 18.75 \%[/tex]

Hence, this is the required solution.

6(X - 2) = -48

Find x

Answers

Answer:

6x-12=-48

6x=-36

x=-6

Step-by-step explanation:

6(X - 2) = -48

6X - 12 = -48

6X = -48 + 12

6X = -36

6X/6 = -36/6

X = -6

If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool

Answers

Answer:  5/14 gallons

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

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

Helpppp meee pleaseee

Answers

B= the square root of 65

Formula: a^2= c*2-b^2

a^2= 81-16= 65

Once you find the square root of 65, thats your answer, but here they want you to keep it as 65.

Hope this helps!

Please help with math

Answers

Answer:

sin x= opp/hyp

sin x=18/30

sin x =3/5

cos x= adj/hyp

cos x=24/30

cos x=4/5

tan x=opp/adj

tan x=18/24

tan x=3/4

Pls help me urgent pls

Answers

Answer:

You can use distance formula,

i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )

where u take first point as x sub1 and x sub2

and,

take second point as y sub1 and y sub2

where,

sub = subscript

Try for urselves and let me know

Hope it helps

Hope it helps ALL THE BEST !!


Find the value of x. Round your answer to the nearest tenth.
Help please!

Answers

Use the formula c^2 = a^2 + b^2
9^2 = x^2 + 7^2
81 = x^2 + 49
x^2 = 32
x = 5.7 (rounded)

I need help with this ?

Answers

Answer:

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

Step-by-step explanation:

The outer rectangle has width 8 and length 3y + 2.

The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).

We can also find the area by finding the area of each small rectangle, and adding the areas together.

The left small rectangle has dimensions 8 and 3y.

A1 = WL = 8 * 3y = 24y

The right small rectangle has dimensions 8 and 2.

A2 = WL = 8 * 2 = 16

The total area of both small rectangles is 24y + 16

That tells use that

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

This is the distributive property at work.

Area of rectangle: length x width

Length: (3y + 2)
Width: 8

Area:
= (3y+2) x 8
= 8(3y) + 8(2)
= 24y + 16

The answer is 24y + 16.

9 g = 207
g=___? Helppp!

Answers

Answer:

g = 23

Step-by-step explanation:

Divide 207 / 9 = 23

Answer:

G=120

Step-by-step explanation:

Could someone please help me with these two???

Answers

1. 3 Side-Side-Angle can not prove congruence
2. 1 Angle- Angle-Angle can not prove congruence

what is 6 root 2 divided by 2 simplified to​

Answers

Answer:

Exact Form:

3

√

2

3

2

Decimal Form:

4.24264068

Step-by-step explanation:

Which statement is not true

Answers

Answer:

a that corresponds to y is wrong

2. What is the slope of a line that is parallel to the line shown?
A) 3/2
B)-2/3
C) -3/2
D)2/3​

Answers

I think it’s B
Sorry if it’s wrong...

PLEASE HELPPP!!! I will mark you the BRAINLIEST

Answers

It’s blurry so I csnt see it
Sale price = 1.799 * 15/100 (number 4)


Akhila works for a company with over 1000 employees, of whom 83% have pierced ears. Every year, each
employee draws another employee's name and gives them a gift. Let I be the number of names Akhila
draws until she draws an employee's name who does not have pierced ears.
What type of variable is T?

Answers

Answer:

Geometric

Step-by-step explanation:

Trust

Solve each system
7) 8x-y=3
y=-8x - 3
Please help

Answers

Answer:

i cant answer this because of my school computer but its simple

Step-by-step explanation:

Answer: x & y

              0 & -3

              1  & 5

slope : 8

y intercept : -3

HELP HELP DUE in 11 ahahhajs

Answers

Answer:

1st one: 270 ft ^2

2nd: 30 square yards

Step-by-step explanation:

The first one you have to find the area. 15×18= 270

The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)

What’s the rate of -5x - 6

Answers

Answer:

30

Step-by-step explanation:


A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help

Answers

Answer:

-12

Step-by-step explanation:

What is the area of the following trapezoid in the following graph (there is an attachment)

Answers

Answer:

72 square units

Step-by-step explanation:

I asked my parents they agree, but i'm not sure if it's right or not.

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be
twice Mary's current age. Find their ages now.
If x is Mary's age now and yis John's age now, which system of equations could not be used to solve the problem?

Answers

Answer:

M=15

J=20

Step-by-step explanation:

Let J and M be the present age of John and Mary respectively:

J=M+5

2(J+10)−(M+10)=35

2(M+5+10)−(M+10)=35

2M+30−M−10=35

M=15

J=20

Who create the division

Answers

Answer:

Petter Sydow : A producer of division.

Step-by-step explanation:

Answer: Johann Heinrich Rahn

It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.

POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN

Answers

Answer:

option 3  / hope this helps

Step-by-step explanation:

i did this test a while ago so if its wrong im sorry

Answer:

[tex] m\angle A = 40\degree[/tex]

Step-by-step explanation:

[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]

Please help with this! The problem I need help with is problem 7.

Answers

Step-by-step explanation:

Cost per box : $1.2

[tex] \frac{1.5}{12} \times 100\% = 12.5\%[/tex]

Mahra has 3 adults and 2 children coming over. She is going to serve 2 small apple pies. If she plans to give each person, including herself, an equal amount of pie. How much pie will each person get?

Answers

Answer:

1/3 pies per person

Step-by-step explanation:

there are 6 people who gets served.

2 pies / 6 people = 1/3 pies per person

Answer:

2/6 = 1/3

She has 5 visitors + herself=6

Six people share 2 pies

She'll have to cut each pie into 3 equal pieces

So everyone will get a third of an apple

That is 1/3

if x stands for am number what is the mathematical phrase that represents three more than the number​

Answers

I think it’s just

x (times) 3

Greatest Value Emer your answer then press "S 5 + 7.6​

Answers

Answer:

5s+7.6 is already simplified

Step-by-step explanation:

Hope I answered your question correctly:)

HELPPP (hopefully this on works)

Answers

Answer:

marla is 180m from the info center and she walked 240m from the parking lot to the lake

1) You can spend at most $24 at the fair. Game

tickets cost $2 each, and ride tickets cost $4

each. You want to buy at least 3 game tickets

and more than 2 ride tickets. Write a system

of linear inequalities that represents the

situation. How many of each ticket can you

buy?

Answers

Answer:

2x+4y= 24

x≥3

y≤2

Step-by-step explanation:

Given data

total expenses= $24

let the number of tickets be x

and the number of rides be y

Tickets cost $2 each, and ride tickets cost $4

Hence the expression for the situation is given as

2x+4y= 24

x≥3

y≤2

Solving systems of equations using substitution. y=2x+8. y=5-x

Answers

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

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