Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.

Answers

Answer 1

Answer:

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2

Step-by-step explanation:


Related Questions

Solve for x. Round to the nearest tenth.​

Answers

Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

What is the surface area of the box formed by the pattern below?

Answers

Answer:

S.A = 2( L×W+W×H+ H×L)

= 2(2×4+4×1+1×2)

= 2(8+4+2)

2(14)

= 2×14= 28

Step-by-step explanation:

answer 28

wich one is greatest?

A. 2.3 x 10
B. 8.6 x 10
C. 1.2 x 10
D. 3,600

Answers

Answer: D
3,600

Explanation: Just multiply everything single option, then compare. What’s the biggest number.
A) 2.3 x 10 = 23

B) 8.6 x 10 = 86

C) 1.2 x 10 = 12

D) 3600 is the greatest

Mark as brainliest

Select the correct answer. What is the solution to |x − 4| ≥ 7? A. -3 ≤ x ≤ 11 B. -11 ≤ x ≤ 3 C. x ≥ 11 or x ≤ -3 D. x ≥ 3 or x ≤ -11

Answers

Answer:

C) x ≥ 11 or x ≤ -3

Explanation:

Given following: |x − 4| ≥ 7

Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a

Solving stepwise:

⇒ x - 4  ≤ -7, x - 4 ≥ 7

change sides

⇒ x ≤ -7 + 4, x ≥ 7 + 4

add/subtract integers

⇒ x ≤ -3, x ≥ 11

Answer:

x ≥ 11 or x ≤ -3

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in comment if you have any questions!

Given:

[tex]\displaystyle \large{|x-4|\geq 7}[/tex]

To solve an absolute inequality, consider the following theorems.

Theorems:

For b ≥ 0:

(1) If |x-a| ≥ b then we have x-a ≥ b or x-a ≤ -b so that we end up with x ≥ b+a, x ≤ -b+a

(2) If |x-a| ≤ b then we have -b ≤ x-a ≤ b which can be simplified to -b+a ≤ x ≤ b+a

Step:

From the inequality, we use the (1) theorem.

[tex]\displaystyle \large{x-4\geq 7, x-4\leq -7}\\\\\displaystyle \large{x\geq 7+4, x\leq -7+4}\\\\\displaystyle \large{x\geq 11, x \leq -3}[/tex]

Therefore, the answer is x ≥ 11 or x ≤ -3

Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove: E
D
F
חד
C

Answers

The proof of the given statements is shown below:

What is tangent to a circle?

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

    angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

   FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

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A theater has 18 rows of seats. Each row has the same number of seats.
Suppose there were 3 fewer rows. Then for the theater to hold the same
number of people, each remaining row would need 6 more seats. How
many seats are in the theater?

Answers

There are a total of  180 seats in the theater

How to determine the number of seats?

The theatre illustrates an arithmetic sequence, with the following parameters:

Number of rows = 18

Let the number of seats per row be n.

So, we have:

Total = 18n

When there are 3 fewer rows, the total number of seats is:

Total = (18 - 3) * (n + 6)

This gives

Total = 15* (n + 6)

Substitute Total = 18n in Total = 15* (n + 6)

18n = 15* (n + 6)

Open the bracket

18n = 15n + 90

Subtract 15n from both sides

3n = 30

Divide both sides by 3

n = 10

Substitute n = 10 in Total = 18n

Total = 18 *10

This gives

Total = 180

Hence, there are 180 seats in the theater

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Solve for x 5.2³x = 21.

Answers

Answer:

D) 0.69

Step-by-step explanation:

Given :

5 × 2³ˣ = 21

Divide by 5 on each side :

1/5 x 5 x 2³ˣ = 1/5 x 212³ˣ = 4.2

Taking the cubic root :

∛2³ˣ = ∛4.22ˣ = 1.61

Using logarithm values :

log(2ˣ) = log(1.61)x log(2) = log(1.61)x = log (1.61) / log (2)x = log₂ (1.61)x = 0.69 (approximately)

Answer:

D.  0.69

Step-by-step explanation:

Given equation:

[tex]5 \cdot 2^{3x}=21[/tex]

Divide both sides by 5:

[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]

[tex]\implies2^{3x}=4.2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies(2^3)^x=4.2[/tex]

[tex]\implies8^x=4.2[/tex]

Take natural logs of both sides:

[tex]\implies \ln 8^x=\ln 4.2[/tex]

[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]

[tex]\implies x \ln 8=\ln 4.2[/tex]

Divide both sides by ln 8:

[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=0.690129776...[/tex]

[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]

distance between (-71,432) and (511,218) and round to the nearest thousandth

Answers

Answer:

620.097 units

Step-by-step explanation:

1. Consider the following points:

(-71,432) and (511,218)

The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.

Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.

PLEASE HELP AREA QUESTION 40 POINTS

Answers

Answer:

14 meters

Step-by-step explanation:

Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?​

Answers

Answer:

19 or 20

Step-by-step explanation:

well is see

Monday = 12

Tuesday = 12 + 3 = 15

Wednesday = 15 +3 = 18

so the pattern is 3

but now since there is only 14, 13, 19, and 20

we could say she only added 1 or 1 each time

because it said she wanted cookies to stay about 18

1 x 2 = 2

18 + 2 = 20

or

1 + 18

19

sorry if it's wrong

Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figure it out for myself. Also not supposed to touch the second equation just show how you get it from the first.

Answers

Step-by-step explanation:

[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]

[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

i need help 7th grade math i need all the answers correct please ASAP

Answers

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

Answer:

7.98: $2.51/kg8.39: $2.43/kgthe 8.39 kg bag is the better buy

Step-by-step explanation:

To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.

__

Unit price of 7.98 kg bag:

  $19.99/(7.98 kg) = $2.51 /kg

__

Unit price of 8.39 kg bag:

  $20.38/(8.39 kg) = $2.43 /kg

__

The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.

What is the volume of this rectangular prism?

Answers

180
This is because 12x5x3 = 180

Answer:

180cm

Step-by-step explanation:

To find the volume you do Length times Width times Height

use this it'll help when you run into this again, it's formula is just

LxWxH, in this order good luck!

PLSS HELP ME WITH THIS 15 POINTSS!

Answers

Answer:

D. y= 1/9x

Step-by-step explanation:

y= 1/9x

(x)=9y

so I think d is your answer sorry if its wrong but i hope i helped.

Answer: D. y= 1/9x

Step-by-step explanation: i think you answer is  correct if not it's ok

here is the histogram of a data distribution. all class widths are 1. which of the following numbers is closest to the mean of this distribution a)3 b)5 c)4 d)9 e)7

Answers

The number 5 is closest to the mean of the distribution, option (B) is correct.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

From the histogram:

2, 6, 4, 2, 0, 1, 6, 4, 2, 1

The sum of the above data = 28

= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10

= 2+12+12+8+6+42+32+18+10

= 142

Mean = 142/28

= 5.07

Thus, the number 5 is closest to the mean of the distribution option (B) is correct.

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Answer:4

Step-by-step explanation:jus done this question

4) Carlo finished answering his homework at 7:20 p.m. If he started at 6:50 p.m., how many minutes did he spend in answering his homework?
a. What is asked?

b. What are given?

c. What is/are the operation/s to be used?

d. What is the number sentence?

e. What is the answer?

Answers

Answer:

a. the time spent answering homework

b. time finished and time started

c. subtraction

d. 7:20-6:50 (unsure how this is supposed to be laid out)

e. Carlo spent 30 minutes answering his homework

If you solve this i give you 50 points

Answers

Step-by-step explanation:

2) 8,6,5,3 ,57 7,4,2/8

=92/8

mean =11.5

Arrange the terms in ascending order

2,3, 4, 5, 6, 7, 8, 57

the median of the ascending set= 5.5

3) 72 75 85 82 37 108/ 6

459/6

mean =76.5

Arrange the terms in ascending order

37, 72, 75, 82, 85, 108

the median of the ascending set= 78.5

4) 10 students were asked because there were 10 data values in the list.

5) it should be 55/10 =5.5

so its false

6) Sum first and find the mean number

5+4+3+2+1/5

=3

anyone understand this?

Answers

Kindly refer attachment.
Hope it helps.

What is 2/8 in its simplest form

Answers

Answer:

14

Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.

It’s 1/4

2/8. First find the highest number that goes into it which is 2.
2/2=1
8/2=4
1/4

what is |3|?

please help i dont understand.

Answers

Answer:

Step-by-step explanation:

the bars, |   |, mean absolute value

for example, if it was

| -9 |

then it would be 9

if it was

| 9 |

then it would be 9

if it was

| -550 |

it would be 550

you take the number, and if its negative, then it becomes positive

thats it

what is a polygonomial

Answers

Answer:

See below

Step-by-step explanation:

Polynomials are sums of terms in the form of k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x²+2x-5 is a polynomial.

At the second stop sign, Rowena skids to a quick stop. Her bike leaves a 7-foot skid mark in the sand. How many inches long is the skid mark?​

Answers

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

Please help me, I’m only five more questions away from being done

Answers

Answer:

[tex] {2t}^{3} + {20t}^{2} - 2t + 15[/tex]

Hope this helps!!

help please please 100pts no trolls please

Answers

Answer:

21.8 m/s

Step-by-step explanation:

Given that Tom drops a object from a height of h meters and it hits the ground with a veloc8of v m/s and it is given by function ;

[tex]\longrightarrow v =\sqrt{19.6h}[/tex]

We need to find out the velocity upon reaching the ground when it is dropped from a height of 24.3 m . On plugging in 24.3 in place of h we have ,

[tex]\longrightarrow v =\sqrt{19.6\times 24.3 }\ m/s\\\\\longrightarrow v =\sqrt{ 476.28} m/s \\\\\longrightarrow v = 21.823 \ m/s \\\\\longrightarrow \underline{\underline{ v = 21.8 \ m/s }}[/tex]

And we are done !

Answer:

21.8

Step-by-step explanation:

The formula is given :

v = √(19.6h)

Given that h = 24.3 m, we need to find v.

Substituting the value of h in the formula :

v = √(19.6)(24.3)v = √476.28v = 21.8 m/s (nearest tenth)

2. Answer each of the following based on the scenario below.
Scenario: You bought a brand new iphone 13 for $1,200. Unfortunately your phone
loses 10% of its value every year.
a. Does this scenario represent exponential growth or decay? De
b. What is the initial value of your phone? 2000
c. What is the growth/decay factor? 10
d. Create a function in exponential form that models how much your phone will be worth
after x years.
f(x) =
e. After 3 years how much will your phone be worth?
. After 8 years how much will your phone be worth?

Answers

a) losing value is exponential decay.

b) Initial value is the price you paid = $1,200

c) decay factor is 100% - the percent lost per year = 90%

d) value = starting value x decay factor^ time

 f(x) = 1200 x 0.90^x

e) replace x with 3 then 8 and solve:

f(3) = 1200 x 0.90^3 = 874.80

after 3 years it is worth $874.80

f(8) = 1200 x 0.90^8 = 516.56

after 8 years it is worth $516.56

A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.

an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)

Answers

a_n=2(a_n-1 +4)a_n=2a_n-1+8

So

a_2

2a_1+8=2(5)+8=18

a_3

2a_2+8=2(18)+8=44

a_4

2a_3+8=2(44)+8=96

a_5

2a_4+8=2(96)+8=200

In parallelogram JKLM if m/JKL-150° find m/LMJ.

Answers

Answer:

150 degrees

Step-by-step explanation:

This is because the opposite angles in this parallelogram are equal.

colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from boston to hartford was $200. now its cost $340. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

A) 70%

B) 95%

Step-by-step explanation:

A) $200 to $340

Increase = $340 - $200 = $140

Percentage of increase = $140/$200 * 100% = 70%

B) Additional $50

Increase = $140 + $50 = $190

Percentage of increase = $190/$200 * 100% = 95%

Enter the range of values for x:
2x-4
10
45
60
2

Answers

Answer:

the answer is 0

Step-by-step explanation:

2x-4

putting 10

2x10-4

20-4

=16

putting 45

2x45-4

90-4

=86

putting 60

60x2-4

120-4

=116

putting 2

2x2=4

4-4=0

Hi guys !

Find the missing angle in the given figure .

All the best *​

Answers

Answer:

third angle: 50°

Explanation:

The interior angles of a triangle sum ups to 180°.

Here given two angles: 95°, 35°, x - Let the missing angle be x

When they sum up, they equal to 180:

x + 35 + 95 = 180

x + 130 = 180

x = 180 - 130

x = 50

Given two angles are 35° and 95°

Let the unknown angle be "x"

We know that sum of angles of a triangle is 180°

Therefore,

[tex]\sf{35°+95° + x = 180°}[/tex]

[tex]\sf{130° + x = 180°}[/tex]

[tex]\sf{x = 180°-130°}[/tex]

[tex]\sf{x = 50°}[/tex]

Hence, the missing angle is 50°.

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