Triangle KLM was dilated with the origin as the center of dilation to create triangle K'L'M'.
Which‌ ‌rule‌ ‌best‌ ‌represents‌ ‌the‌ ‌dilation‌ ‌that‌ ‌was‌ ‌applied‌ ‌to‌ ‌triangle‌ ‌‌KLM‌ ‌‌to‌ ‌create‌ ‌triangle‌ K’L’M’‌‌ ‌?‌

A: (x, y) → (1.5x, 1.5y)

B: (x, y) → (1.5 + x, 1.5 + y)
C: (x, y) → (2.5 + x, 2.5 + y)
D: (x, y) → (2.5x, 2.5y)

Answer:

4(12x + 32) = 48x + 128

Step-by-step explanation:

Answer:

This is what it should look like:

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

[tex] • \:  {( \sqrt{3} )}^{x + y}  = 9\:  \:  \: \: (i)[/tex]

[tex]• \:  {( \sqrt{2} )}^{x - y}  = 32 \:  \:  \: \: (ii)[/tex]

[tex] \\ [/tex]

[tex]  •   {\sf{The  \: value  \: of}} \:   \: 2x+ y.[/tex]

[tex] \\ [/tex]

[tex] \huge\bf \purple{ \underline{Solution :- }}[/tex]

[tex]  \sf{From \:  equation \:  (i), }[/tex]

[tex] {( \sqrt{3} )}^{x + y}  = 9 [/tex]

[tex]⇒ {( \sqrt{3} )}^{x + y}  =  ({ \sqrt{3} })^{4} [/tex]

[tex] ⇒ x + y = 4 \:  \:  \: \: (iii)[/tex]

[tex] \\ [/tex]

[tex] \sf{From \:  the  \: equation \:  (ii)}[/tex]

[tex]{( \sqrt{2} )}^{x - y}  = 32[/tex]

[tex] ⇒( { \sqrt{2} })^{x - y}  =(  { \sqrt{2} })^{10} [/tex]

[tex]⇒x - y = 10 \:  \:  \: \: (iv)[/tex]

[tex] \\ [/tex]

[tex]\sf{We \:  have \:  to  \: add \:  equation \:  (iii)  \: and \:  equation  \: (iv)}[/tex]

[tex] x + y + x - y = 4 + 10[/tex]

[tex] ⇒2x = 14[/tex]

[tex] ⇒x = 7[/tex]

[tex] \\ [/tex]

[tex] \sf{Subtracting \:  equation \:  (iii)  \: from  \: equation  \: (ii),  }[/tex]

[tex]x  - y - x - y = 10 - 4[/tex]

[tex]⇒ - 2y = 6[/tex]

[tex]⇒y =  - 3[/tex]

[tex] \\ [/tex]

[tex] \bf\therefore x = 7 \: \:  and  \: \: y =  - 3[/tex]

[tex] \\ [/tex]

[tex] { \sf{Th e \:  value \:  of }}= 2x +y [/tex]

[tex]\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: =2 \times 7  + ( - 3)[/tex]

[tex]\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: =14 - 3[/tex]

[tex] \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: \: \: \: =11[/tex]

[tex] \bf \red{Hence,  \: the  \: value \:  of  \: 2x + y  \: is  \: 11. }[/tex]

Answer:

22.5m

Step-by-step explanation:

IF 2 inches = 5 meters

9 inches =( 9 x 5) / 2 = 22.5 meters

Answer:

because this is a parallelogram

=> 3t - 15 = 2t + 10

⇔ t = 10 + 15

⇔ t = 25

with t = 25 => 3t - 15 = 3.25 - 15 = 60

we also have:

4r + (3t - 15) = 180°

⇔ 4r + 60° = 180°

⇒ 4r = 120°

⇔ r = 30

we also have;

4r = 3s

=> 4.30 = 3s

⇔ s = 4.10

⇔ s = 40

Step-by-step explanation:

You can use the fact that sum of all angles of a parallelogram is 360 degrees and the sum of two adjacent angles in a parallelogram is 180 degrees.

The value of the variables used in the figure are:

r = 30

s = 40

t = 25

[tex]4r + (3t - 15) + (2t + 10) + 3s = 360^\circ\\4r + 3s + 5t = 365[/tex]

And

[tex]3t - 15 + 4r = 180 \cdots (1)\\3t - 15 + 3s = 180\cdots (2)\\3s + 2t + 10 = 180\cdots (3)\\4r + 2t + 10 = 180\cdots (4)[/tex]

We get 2 systems of linear equations.

First system consists of equation 1 and equation 4

Second system consists of equation 2 and equation 3

From equation 1 and 4, as both's left side is equal to 180, thus they are equal too, or

[tex]3t - 15 + 4r = 4r + 2t + 10\\3t - 2t = 4r - 4r + 10 + 15\\t = 25[/tex]

Putting it in equation 1, we get:

[tex]3t - 15 + 4r = 180\\3 \times 25 + 4r = 180 + 15\\75 + 4r = 195\\\\r = \dfrac{195 - 75}{4} = 30[/tex]

Putting the value t = 25 in second equation, we get:

[tex]3t - 15 + 3s + 180\\3 \times 25 - 15 + 3s = 180\\60 + 3s = 180\\\\s = \dfrac{180 - 60}{3} = 40[/tex]

Thus, the values of the specified variables in the given graph are:

r = 30

s = 40

t = 25

Learn more about system of linear equations here:

: https://brainly.com/question/13722693

Answer:

a triangle with the side measurements of 2, 3, and 5 inches

a triangle with the side measurements of 7, 8, and 16 inches

a triangle with the side measurements of 4, 4, and 8 inches

Step-by-step explanation:

A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.

The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.

For a triangle with the side measurements of 3, 4, and 6 inches:

3 + 4 > 6. This can be a triangle

For a triangle with the side measurements of 2, 3, and 5 inches:

2 + 3 is not greater than 5, hence it cannot be a triangle

For a triangle with the side measurements of 3, 3, and 4 inches:

3 + 3 > 4. This can be a triangle

For a triangle with the side measurements of 5, 5, and 5 inches

5 + 5 > 5. This can be a triangle

For a triangle with the side measurements of 4, 4, and 8 inches:

4 + 4 is not greater than 8, hence it cannot be a triangle

For a triangle with the side measurements of 7, 8, and 16 inches:

7 + 8 is not greater than 16, hence it cannot be a triangle

Answer:

40%

Step-by-step explanation:

20-12 = 8 difference

8/ 20  x100 = the percentage change  = 40%

Answer:

(4x - 3)(x + 1)

Step-by-step explanation:

=4x² + x - 3

=4x² + 4x - 3x - 3

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

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

Answer:

10x times 1000 y minus 4x

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

65p

Step-by-step explanation:

uhhhh......

I am really confused

40% of 800.,.,.,.,.,.,,.,.,.,.,.

Answer:

(5,15)

Step-by-step explanation:

Check x = 0,the P(x)=-225 : not an inequality solution

Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10

Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)

Ans: Profit for (5,15)

Answer:

The legnth of AC is about 6.364

Explanation:

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)

x = x

II) Conclusion:

Any real number will work as a solution.

Answer:

20

Step-by-step explanation:

(2x)° + (2x)° + (6x - 20)° = 180°

10x = 200

x = 20

Answer:

151

Step-by-step explanation:

132.88 is 88% of the original price

132.88= p x .88=151

Answer:

[tex]a\geq 16[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represents the age at which a person gets a student learner's permit to drive in New Jersey.

Also, an individual must be at least [tex]16[/tex] years old to get a student learner's permit to drive in New Jersey.

So, inequality is [tex]a\geq 16[/tex]

(Inequality explains a relationship of greater than or greater than or equal to or less than, or less than or equal to between two mathematical expressions)

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

Answer: The last answer, the one at the very bottom.

Step-by-step explanation:

You can see that the dot is sitting there, at 4/5. We can determine this, because we always use the X coordinate before the Y coordinate. Therefore, that is your answer. Hope it helps! :)

Answer:

A (the first one)

Step-by-step explanation:

open image I

                   V

Answer:

(10,6) in point form

and in equation form its x=10,y=6

Step-by-step explanation:

Answer:

ill just do the first page

Step-by-step explanation:

3(x-8)=5x+6

3x-24=5x+6

3x-5x-24=6

3x-5x=6+24

-2x=6+24

-2x=30

x=-15

4x+20+2(x-7)=0

4x+20+2x-14=0

6x+20-14=0

6x+6=0

6x=-6

x=-1

Hypotenuse-Leg (HL) Theorem. If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.

Mark as brainlist

Answer:

x = 5

Step-by-step explanation:

Since ∠P ≅ ∠P and  ∠PST≅ ∠PRQ (corresponding angles are congruent when the lines are parallel), ΔPST is similar to ΔPRQ by the AA postulate

Therefore, corresponding sides are in proportion.  

PS ↔ PR and ST ↔ RQ

[tex]\frac{PS}{PR} = \frac{ST}{RQ} \\\frac{x + 7}{2x + 6} = \frac{6}{8}[/tex]   Note:  PR = PS + SR = x + 7 + x - 1 = 2x + 6

8(x + 7) = 6(2x + 6)

8x+56 = 12x + 36

4x = 20

x = 5

Answer:

x = 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

one point is (-2,5)

5y-25=-11x-22

11x+5y=25-22

11x+5y=3

5y=3-11x

[tex]y=\frac{3-11x}{5} \\x=-2,y=5\\x=3,y=-6\\[/tex]

so points are (-2,5) and (3,-6)

draw a line through these points.

Answer:

13

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (- 9, 6)

d = [tex]\sqrt{(-9+4)^2+(6+6)^2}[/tex]

   = [tex]\sqrt{(-5)^2+12^2}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Answer: -1/25 / -1/5 / 1/25

Step-by-step explanation:

Answer:

38 is pounds, 84 is kilograms, 6 is ounces, 170 is grams, 180 is gallons, 680 is liters, 29 is cubic meters, 1024 cubic feet. If right plz give brainliest.