Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?

Answers

Answer 1

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

Answer 2

The area of the right-angle triangle A'B'C' will be 450 square units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2


Related Questions

Find the value of x so that the ratios are equivalent.

9:x and 54:8

Answers

Answer:

1 and 1/3.

Step-by-step explanation:

Just ask!

Hope this helps...(sorry if I'm wrong.)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}

B
{(1,−2),(1,−4),(1,0),(1,8)}

C
{(−3,9),(−2,4),(−1,1),(1,1)}

D
{(3,10),(5,−5),(6,6),(9,11)}

Answers

Answer: B repeating domain is 1

Step-by-step explanation: Repeat domain is not a function. Hope this help:)

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

plass help brainlist if possible compare 9/10 and 7/5​

Answers

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

What is the result when the number 15 is increased by 20%

Answers

Answer:

75

Step-by-step explanation:

15 divided by .20 = 75

75
20% is .20 and
15/.20 = 75 therefore your answer should be 75

Solve using the Quadratic Formula:

a) -7x^2 + 7x + 1 = -8

b) -6x - 1 + 5x^2 = 8x^2

Show your work.

Answers

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps

deacrease 250 by 15%

Answers

Answer:

212.5

Step-by-step explanation:

A basketball player only scores two-point and three point goals during a game. The basketball player score a total of 25 points with a total of 11 goals during the game

Answers

Answer:

3 three pointers and 8 two pointers

Step-by-step explanation:

hope this helps

Place the fraction 1/2 on the number line.

Answers

Answer:

in the middle

Step-by-step explanation:

I did this before

1/2 is a half so if the number line starts at a 1 and ends at a 2 it would be in the middle. Please note that 100/500=10/50=1/2

4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?

Answers

Answer:

225 pepper seedlings.

Step-by-step explanation:

WAY 1: common sense

half of 150 is 75

75 + 150 = 225

WAY 2: % of number

convert % to decimals (/100)

0.5 x 150 = 75

150 + 75 = 225

write the equation of the line in fully simplified slope-intercept form

Answers

y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)

a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5

Answers

Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

please help! the ppl who are good atttt mathhh please!

Answers

Answer:

10) SAS

12) SAS

13) SSS

11) ASA

14) ASA

Answer:

10. none

11. AAS

12. SAS

13. SSS

14. SAS

15. ASA

Step-by-step explanation:

I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.

A math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3. 50, and each pencil costs $1. 25. If the student spent a total of $29, how many pencils did the student purchase?.

Answers

The student purchase 12 pencils

Let the total number of pencils purchased be xLet the total number of spirals purchased be y

If a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;

x + y = 16 .................. 1

If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;

1.25x + 3.5y = 29 ................. 2

Solve both equations simultaneously

x + y = 16 .................. 1 * 1.25

1.25x + 3.5y = 29 ................. 2 * 1

__________________________________

1.25x + 1.25y =  20.

1.25x + 3.5y = 29

Subtract both equations

1.25y - 3.5y = 20 - 29

-2.25y = -9

y = 9/2.25

y = 4

Substitute y = 4 into equation 1:

x + y = 16

x = 16 - 4

x = 12

This means that the student purchase 12 pencils

Learn more on simultaneous equations here: https://brainly.com/question/15165519

Solve each inequality

2x + 2 - 6x > -4 - 7x


1 + 7n ≤ 15 or -2n - 2 ≤ - 18

Please show all work :D

Answers

Answer:

x > -2n ≤ -2 or n ≥ 8

Step-by-step explanation:

1.

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

2.

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28

Answers

28 Is the answer because 7X4=28 & 4X7=28 so

Calculator
What is the value of x

Answers

Answer:

71.8

Step-by-step explanation:

Which of the expressions below has a product that is greater
than 140? Select all that apply.
A) 11.5 x 12
B) 11.85 x 12
C) 15.2 x 9
D) 23.4 x 6
You can earn 5 coins

Answers

B and D
11.85 x 12 = 142.2
23.4 x 6 = 140.4

You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.

units?

Answers

Answer:

3.14 or pi

Step-by-step explanation:

the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle

this is 1/4 of the circle, so it would be 1/4 (pi * r²)

it shows that the radius is 2, so you have

1/4 ( pi * 2²)

= 1/4 ( pi * 4 )

= 1/4 (3.14 * 4)

= 3.14 units²

Bro this is so hard ​

Answers

Answer:

c = 50 degrees and d = 30 degrees

Answer:

C = 80 degrees

D = 30 degrees

Step-by-step explanation:

To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.

50 + 30 = 80

Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.

To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees.   Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.

180 - 30 = 150

Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.

What is the Distance formula of (-6, -12) and (4,8)
Distance formula is in picture​

Answers

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

(x2 - x1)² + (y2 - y1)²

Place the x and y values

(4 - - 6)² + (8 - - 12)²

= 10² + 20²

= 100 + 400 = 500

√500 = 22.360679775

Round it to the nearest tenth and you will get 22.4

Hope this helps!

please mark me as the brainliest

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \sf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

where:

[tex] \sf{(x_1, y_1) = (-6, -12)}[/tex][tex] \sf{(x_2, y_2) = (4, 8)}[/tex]

Substitute the given values into the distance formula and solve for d:

[tex] \sf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex] \sf{d = \sqrt{[4 - ( - 6)]^2 + [8 - ( - 12)]^2}}[/tex]

[tex] \sf{d = \sqrt{(10)^2 + (20)^2}}[/tex]

[tex] \sf{d = \sqrt{100 + 400}}[/tex]

[tex] \sf{d = \sqrt{500}}[/tex]

[tex] \bold{d = 22.4 \: units}[/tex]

Therefore, the distance between the two points is 22.4 units (nearest tenth).

Cheers!

can you please answer this question asap
x-1/3-x+3/4=-1

Answers

= -1
It has no solution

The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]

The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;

[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]

Collect like terms

[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]

[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]

-4(x - 1) = -7(3 -x)

-4x + 4 = -21 + 7x

4x -7x = -21 - 4

-3x = - 25

[tex]\mathbf{x= \dfrac{25}{3}}[/tex]

[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]

Learn more about evaluating fractions here:

https://brainly.com/question/12023322


Find the product
(-2) (7)

Answers

Answer:

-14

Step-by-step explanation:

Remember that a negative times a positive is negative:

(-2)(7) = -(2)(7) = -14

-14; because + and a negative equal a negative

factor the expression 9x^2+4 explain your steps if not possible explain why not​

Answers

This expression doesn’t have a common factor.
Therefore it is not possible to solve.

Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!

Answers

Answer:

y=2(x+5)^2-4.

Step-by-step explanation:

By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!

Find the slope of the following graph and write ur results in the empty box.

Answers

Slope is 2 because it goes up by two and over by one

HELP ME PLEASEEE !!

DON'T GIVE ME IRRELEVANT ANSWERS PLEASE

Answers

I think the picture cut off can u take another one

A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is

17 meters longer than the width, w.

Answers

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: https://brainly.com/question/15989799?referrer=searchResul

Xavier's pet turtle laid eggs! So far, only 2 eggs have hatched for every 5 that are unhatched. If Xavier's turtle laid 35 eggs in all, how many eggs have hatched?

Answers

21 eggs have hatched


hopefully this helps!

Answer: 21

Step-by-step explanation:

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