Triangle DEF is similar to triangle D'E'F'.Triangle D E F is rotated about point F and is shrunk to form triangle D prime E prime F prime. Which similarity transformation could map △DEF to △D'E'F'? dilation and reflection dilation and translation rotation and dilation rotation and reflection

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

----------------------------------------------------------

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

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Answer:

54 cans

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4*12=48

48+6=54

Answer:

A

Step-by-step explanation:

The measure of the angles of a triangle = 180

70 + 80 + 45

150 + 45

195 degrees

195 > 180

So, A) No

Answer:

b. 12π

Step-by-step explanation:

C= 2πr

R= D/2= 12/2= 6

C= 2x3.14x6

2x6= 12

C= 12π

Given :-

Then,

Using Formula

★Circumference of circle = 2πr

Keep Value

==> Circumference of circle = 2π × 6

==> Circumference of circle = 12π

tem que ser portugeis lindo tchua feio

Step-by-step explanation:

aaahahahahajababababaabb ano reposta e eeeeee 3992

Answer:

60ft

Step-by-step explanation:

multiply all the #

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

-----------------------------------------------------------------------------------------------------------------

7y - 5x = 8

    +5x  +5x

----------------

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

-----------------------------------------------------------------------------------------------------------------

After graphing the lines, you then can see that the lines only ever intersect once.

Answer:

-9x^2+13x+8

Step-by-step explanation:

Combine like terms-

(x^2 + 8x + 8) + (-10x^2 + 5x)

8x+5x = 13x

(x^2 + 8x + 8) + (-10x^2 + 5x)

-10x^2+x^2 = -9x^2

(x^2 + 8x + 8) + (-10x2 + 5x)

and 8 is just left over, so we put that all together and get...

-9x^2+13x+8

Good luck, have a great day!

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

Answer:

Step-by-step explanation:

when you use elimination you want to set two of the terms, in the different equations,  equal to each other and then subtract the entire equation from the other,  so that the two terms cancel out.    Then you have an equation with one less variable in it.  :)  

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

A: x=20

Step-by-step explanation:

angles in a triangle always equal 180° so knowing this 2x+3x+4x=180

9x=180

9x÷9=x

180÷9=20

Answer:

25/28

Step-by-step explanation:

5/4 x 5/7 = 25/28

Answer:

25/28

Step-by-step explanation:

Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]

[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

Answer:

what's the question?

Step-by-step explanation:

what the question

Answer:

The angle is 136 degrees because the 44 degree angle adds up to 180 since it is suplementary. so that means when u minus or take away 44 degrees from 180 it gives u 136.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct

The peak is at 5

Step-by-step explanation:

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer: 233.53 seconds

Step-by-step explanation:

Since we aren't given any further information in the question, the best time for the race based on the information given will be the addition of the top speed for each leg. This will be:

= 56.81 + 59.22 + 57.39 + 60.11

= 233.53 seconds

Therefore, the best time for the race is 233.53 seconds.

Answer:

the answer should be 24ft

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

1/2hb

4=h

12=b

plug in

1/2(4)(12)= 24

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Answer

-[tex]\frac{7}{2\\}[/tex]

Step-by-step explanation:

Answer:

-7/2 or -3.5

Step-by-step explanation:

Answer:

D is the correct answer

Explanation:

the following function satisfies each output to its input for the set D

f(x)=x/2

let's check each pair:

0/2=0

-1/2=-0.5

-2/2=-1

-3/2=-1.5

-4/2=-2

the reason why A, B, and C can't be pairs of inputs and outputs x and y it's because a variable x can't have more than one y (that's a behaviour of an equation not a function!)

- in A x=-1 | y=2, -2 and this wrong

- in B x=3 | y=9, 16 and this wrong

- in C x=0 | y=0, 1 and this wrong

I hope this was helpful

Explanation is in the file

tinyurl.com/wpazsebu

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

total number of odd numbers / total numbers in the bag = 5/9

Answer:

Opposite

------------------------------------

Answer:

5376

Step-by-step explanation:

12 x 16 x 28