ABC - DEF. What sequence of transformations will move ABC onto DEF?

Please help me!!

9514 1404 393

Answer:

  17) x = 10√2

  18) x = 4√6

Step-by-step explanation:

These problems rely on your knowledge of the side ratios of special triangles

  45°-45°-90° triangle: 1 : 1 : √2

  30°-60°-90° triangle: 1 : √3 : 2

__

17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:

  x = 10√2

__

18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...

  x = (4√3)(√2)

  x = 4√6

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

Answer:

E=8h

Step-by-step explanation:

Becuase the earings equal the $8 times the amount of hours she worked.

Answer:

mode=most common answer

Step-by-step explanation:

1.12

2.9

3.1.8

4.56

5.5.9

Answer:

x^2 -4x -21

Step-by-step explanation:

Here, we want to write a quadratic polynomial

We have the sum as -4

Let us have x as the variable

so the sum of the variables is -4x

while the product is -21 x^2

Two factors of 21 that can work here is -7x and 3x

So we have

x^2 - 7x + 3x -21

= x^2 -4x -21

Answer:

54 students would have a dog.

Step-by-step explanation:

If 6 out of 10 students have a dog, then multiplying 10 by 9 and 6 by 9 you will get 90 students having a dog.

Answer:

x < 3

Step-by-step explanation:

The line is moving to negative so the number is less than 3

the white circle (or opened circle) indicates that we do NOT include that number so it is x < 3

Answer:

270 blinks in 30 minutes

Step-by-step explanation:

9 x 30 = 270

hope this helps :)

Answer:

(4w) > 28

Step-by-step explanation:

Please mark helpful

Answer:

We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)

A) y=x+7 where a=1 b=0 and c=7

By replacing we have: V(0;28/4) V(0;7)

B) y=-x where a=-1 b and c=0 so V(0,0)

Answer:

If y = 2x - 5, and x = 3z, then y = 6z - 5

Answer:

a = ± 5

Step-by-step explanation:

Given

a² + 12² = 13² , that is

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = ± [tex]\sqrt{25}[/tex] = ± 5

Answer:

A.

Step-by-step explanation:

Answer:

sample

Step-by-step explanation:

Draw point A anywhere on this line.

Draw point B on line l, at the distance 12

from point A.

Using a compass, draw a circle with the center in point A and radius

9

Using a compass, draw a circle with the center in point B

and radius 7

Answer:

just draw the same rectangle as on the left on the right

Step-by-step explanation:

but when finding area instead of unitsx2 use unitsx4

Answer:

x= 5

Step-by-step explanation:

Using the Side Splitter Theorem, we will make a proportion using the values given:

Afterwards, you can check to see that 20/10 is equal to 44/22.

Answer:

C. 100

Step-by-step explanation:

Answer:

7y+24x = -12

Step-by-step explanation:

Equation of line PQ in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope of {Q

(x0, y0) is the point on the line

Given the line 7x-24y+10=0

Get the slope

-24y = -7x -10

y = -7/-24 x - 10/-24

y = 7/24 x + 5/12

Slope = 7/24

Slope of the line PQ perpendicular to it = -24/7

Substitute m = -24/7 and (-2, 4) into the formula;

y - 4 = -24/7(x+2)

7(y-4) = -24(x+2)

7y - 28 = -24x-48

7y + 24x = -40 + 28

7y+24x = -12

This gives the equation of the line PQ

Answer:

a

Step-by-step explanation:

Add 4 minutes to the 24 minutes each day. Multiply the number of minutes by the time.

Answer:

Step-by-step explanation:

an = 3 + (n-1)11

an = 3 + 11n - 11

an = -8 + 11n OR 11n - 8

Hope that helps!

Answer:

find the last SIMPLIFIED number

11 x 5 = 55

55 simplfiied = 27.5

Step-by-step explanation:

sorry if this is wrong. i tried my best trying to look for the answer

Answer:

8

Step-by-step explanation:

If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!

Answer:

22,815

Step-by-step explanation:

35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.

Answer:

Please find the attached file of the given graph:

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Being proportional means that if you divide the Y value by the X number for each ordered pair, they all equal the same number

For this case, this is proportional because you need to multiply by 6 to get the Y value.

Answer:

i would chose a or b

Step-by-step explanation:

you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer

Answer:

survey 100 randomly selected parents in a theme park

Step-by-step explanation:

random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).

Answer:

x-int : 6,  y-int : 9

Step-by-step explanation:

Hope this helps :)

Let me know if you want a full explanation

Answer:

90 males.

Step-by-step explanation:

To find the answer we will divide 45% by 100, and we get 0.45.  Now multiply 0.45 by 200 and you get 90.  Therefore, 90 males is the answer.