Find the perimeter. Simplify your answer.

Translation of 10 units left and 8 units down

================================================

Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]

If we applied that rule to A(3,6), then...

[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.

Congruent triangles have equal corresponding sides and angles.

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364353

Answer:

To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.

Step-by-step explanation:

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

Answer:

2

Step-by-step explanation:

as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2

==========================================================

Explanation:

First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x

AD/BD = BD/DC

13/x = x/4

13*4 = x^2

52 = x^2

x^2 = 52

x = sqrt(52)

Segment BD is exactly sqrt(52) units long.

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

Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC

(BD)^2 + (DC)^2 = (BC)^2

( sqrt(52) )^2 + ( 4 )^2 = ( m )^2

52 + 16 = m^2

68 = m^2

m^2 = 68

m = sqrt(68)

m = 8.2462 approximately

m = 8.2

Answer:

-7

y=-7x+50

Step-by-step explanation:

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

Answer:

Step-by-step explanation:

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

12<=x-7.  add 7 to both sides.

x>=19

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |

Answer:

S=2+4+6+…+100

S=100+98+96+…+2

Adding the two yields

2S=102+102+102+…+102 = 50(102)

Thus S=50(51)=2550

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).

so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?

I see for example (0, -6) and (4, -7).

to go from the first to the second point :

x changes by +4 units (from 0 to 4).

y changes by -1 unit (from -6 to -7).

the slope a is therefore -1/4.

and the first point i picked gives us also automatically the y-intercept (-6).

so, the line equation is

y = (-1/4)x - 6

20 divided by 4 is 5 so

4$ will be for pay as you go.

5$ will be for regular deal

4+5=9 so the all in one deal is 9$

Answer:

25 percent because when you change it in percent it came25 percent

Answer:

67

Step-by-step explanation:

We plug the 7 for x and -4 for y.

The equation is 9x-y.

So it becomes; 9(7)-(-4)

This will simplify to; 63+4

Which is 67, your answer.

67 is the answer bro good luck

Answer:

x = 8 and y = 4

Step-by-step explanation:

Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.

Note: The systems used to solve this question and the answers for the values of x and y are bolded.

Answer:

Here is one of the equations   2x + y=16

Step-by-step explanation:

I apologize I couldn't find the other one.

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer: D. f(x) + 2

Step-by-step explanation: if its not this then its B. f(x) - 2

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

Answer: 2 to 3 people who would be smoking

Step-by-step explanation:

22 divided by 10 = 2.2

and since there could be more

or less so it could be 2 or 3

Answer:

um probably something like CX and HX

Step-by-step explanation:

no graph

Answer:

1. Sleep well

2. Eat a proper meal to increase your energy

3. Do the ones you are good at first. Skip the harder questions

4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.

5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.

6. Have faith in yourself. :)

Step-by-step explanation:

Answer:

A. geometric

Step-by-step explanation:

The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.

Arithmetic sequences add or subtract the same number between each term.

Hope this helps.

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b= y-intercept