Write −0.85 as a fraction in simplest form.

The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B

In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.

When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.

Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.

The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.

For more questions on scale factor

https://brainly.com/question/29967135

#SPJ8

Answer:

The value of r is -1

Step-by-step explanation:

The slope of a Line

Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (1,2) and (-5,r), and the slope is 1/2, thus

[tex]\displaystyle \frac{r-2}{-5-1}=\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{r-2}{-6}=\frac{1}{2}[/tex]

Multiplying by -6:

[tex]2(r-2)=-6[/tex]

Dividing by 2:

[tex]r-2=-3[/tex]

Add 2:

[tex]r=-3+2=-1[/tex]

[tex]\boxed{r=-1}[/tex]

The value of r is -1

Step-by-step explanation:

[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]

Answer:

C. -18√2

Step-by-step explanation:

9514 1404 393

Answer:

  m∠H = 138°

Step-by-step explanation:

Perhaps you have ΔHIJ and want the measure of ∠H.

  ∠H +∠I +∠J = 180°

  (8x-6) +(2x-4) +(x-8) = 180

  11x -18 = 180 . . . . . . collect terms

  11x = 198 . . . . . . . . . add 18

  x = 18 . . . . . . . . . . .  divide by 11

Then angle H is ...

  m∠H = (8(18) -6)°

  m∠H = 138°

Answer:

for the first one y would be zero

for the second one c would be -13/3

Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.

Step-by-step explanation:

Answer:

When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

1) Answer is D which is 2

2) Answer is D which is 4/3

I am 100% Positive it is right. Brainliest would be appreciated!

Answer:

The property that is shown here is communitive property.

Step-by-step explanation:

It is that because the number are switched but you can still get the same answers.

Answer:

3.141592

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

Answer

6 1/10

Step-by-step explanation:

2 3/5+3 1/2

2+3=5

3/5=6/10 find the common denominator  1/2=5/10

6/10+5/10=11/10

11/10=1 1/10

5+1 1/10= 6 1/10

Answer:

A and C

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Because 3x4 = 12, and 12 is the number on the other side of the triangle because the sides are equal.

Hope this helps! :)

Answer:

1/6

Step-by-step explanation:

1,6

Answer:

1,6

(0,0); (6,1)

Step-by-step explanation:

2x-1.1/4+x/3=2

2x-1/4+x/3=2

2x-1/4+x/3+1/4=2+1/4

2x+x/3=9/4

3(2x+x/3)=3.94

7x=27/4

7x/7=27/4/7

x=27/8

Answer:

y = 5/2x + 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 5/2

Point (-4, -5)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = 5/2x + 5

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

First if you rearrange the equation you get f(x) = -x + 11, like this:

x + y = 11

Minus x from both sides

y = -x + 11

F(x) and y are interchangeable so we just put f(x) in

f(x) = -x + 11

Each of the graphs are attached and we see that they are the same!

Hope this helps!!

- Kay

Answer:

7t + 4

Step-by-step explanation:

hope this helps (✿◕‿◕✿)

Answer:

(-5,-13)

Step-by-step explanation:

Find the vertex of the parabola y=1/5x^2+2x−8.  

In this equation a=15  and b = 2.  

x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5

Substitute −5 into the equation y=1/5x^2+2x−8

y=1/5(−5)^2+2(−5)−8

y=5−10−8

y=−13

The vertex is (−5 , −13)

Answer:

They had the same score

Step-by-step explanation:

Monica (12x7)+(-8x4)= 52

Julie (12x9)+(-8x7)= 52

Step-by-step explanation:

360 divided by 1/12 = 30

360 - 30 = 330

330 divided by 1/6 = 55

330 - 55 = 275

Answer: Abby has 275 pages left to read.

Answer:

Theres no picture...

Step-by-step explanation:

Answer:

question 13 is with I

14x+21

Answer:

14x + 21

Step-by-step explanation:

In #13, perform the indicated multiplication (using Distributive Property):

-4(-2x - 7) + 6x - 7 becomes:

8x + 28 + 6x - 7, or

14x + 21     This is Answer "I"

Answer:

20

Step-by-step explanation:

Answer:

p = 42yds.

Step-by-step explanation:

The single dashes indicate that each of those lines are equivalent

The double dashed lines are equal to each other

Because there are 6 single dashed lines that are all equal to 4 yards, and 2 double dashed lines that are both equal to 9 yards, your equation will look like this:

(4 x 6)+(9 x 2)=p

now just solve this using the order of operations

4 x 6 = 24 and 9 x 2 = 18 and 18 + 24 = 42 so p = 42yds.

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x-1}{6}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

[tex]\frac{y+1}{21}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

Answer:

measure of <EGF =65°

measure of <CGF=115°

Step-by-step explanation:

180°-50°=130°

130°:2=65°

180°-65°=115°

Answer:

Angle EGF is 65 degrees

Angle CGF if 115 degrees