Find the value of x. Show your work. Congruent triangles

Answer:

T 9,9

U 0,9

V 8,10

because it's a reflection over y axis, everything negative will be positive

Answer:

Below

Step-by-step explanation:

The x's will be the opposite (y's will stay the same):

T=(9,9)

U=(0,9)

V=(8,10)

Answer: -3x^2-10x-16

Step-by-step explanation:

Before we begin, note that we need to use the distanse formula for everything to reach our conclusion. With that being said, here we go:

[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d[/tex]

Using the ordered pairs [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:

[tex]\displaystyle \sqrt{[-3 + 4]^2 + [3 - 2]^2} = \sqrt{1^2 + 1^2} = \sqrt{2}[/tex]

Now, sinse the distanse between [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] is [tex]\displaystyle \sqrt{2}[/tex] units, then the distanse between [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [0, 0][/tex] ALSO has to be [tex]\displaystyle \sqrt{2}[/tex] units. By definition, lettre c has already been answered for you because sinse it is a rectangle, if the two short sides are congruent, then the two long sides ALSO have to be congruent, but just in case you want to be sure [you do not trust your instincts], just simply re-use the distanse formula.

Using the ordered pairs [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:

[tex]\displaystyle \sqrt{[-1 + 4]^2 + [-1 - 2]^2} = \sqrt{3^2 + [-3]^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}[/tex]

So there you have it. The length of both of the long sides is [tex]\displaystyle 3\sqrt{2}[/tex] units.

Now that we cleared all of that up, we can now find the perimetre and area of this rectangle:

[tex]\displaystyle 2w + 2l = P[/tex]

[tex]\displaystyle 2[\sqrt{2}] + 2[3\sqrt{2}] = 2\sqrt{2} + 6\sqrt{2} = 8\sqrt{2}[/tex]

The perimetre of this rectangle is [tex]\displaystyle 8\sqrt{2}[/tex] units.

[tex]\displaystyle wl = A[/tex]

[tex]\displaystyle [\sqrt{2}][3\sqrt{2}] = [3][2] = 6[/tex]

The area of this rectangle is [tex]\displaystyle 6[/tex] squared units.

You have now found what you were looking for.

** All rectangles are parallelograms because they both have two pairs of parallel and congruent sides, while vice versa is falce because a parallelogram does not have four congruent right angles, so it is safe to say that this is both a rectangle AND parallelogram, sinse the picture displayed is a rectangle.

I am joyous to assist you at any time. ☺️

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Answer:

  a) compute and add up the side lengths

  b) multiply length by width

  c) compare the slopes of adjacent sides

Step-by-step explanation:

a) The perimeter of any figure is the sum of the lengths of its sides. It can be computed for a rectangle or parallelogram by adding the lengths of adjacent sides and multiplying the sum by 2.

In this graph, each grid square is 1/2 unit. The width of the rectangle is the diagonal of a square that is 1 unit on a side, so is √2 units. The length is 3 times that, so the perimeter is ...

  P = 2(L+W)

  P = 2(3√2 +√2) = 8√2 . . . . perimeter of the rectangle in units

__

b) The area is the product of the length and width.

  A = LW

  A = (3√2)(√2) = 6 . . . . area of the rectangle in square units

__

c) Each side lies on the diagonal of a unit square. The diagonals of a square are perpendicular, so the sides of this parallelogram are perpendicular. That means the figure is a rectangle.

The basic idea is to look at adjacent sides to see if they are perpendicular. Here, we have determined that using the properties of a square. One could compute "rise"/"run" for each side to see of the values are opposite reciprocals.

  origin to B: rise/run = 1/1 = 1

  B to C: rise/run = -3/3 = -1

Each of these values is the opposite reciprocal of the other: 1 = -1/-1.

_____

Additional comment

This question seems to be about methods, not about numbers. We have given numbers anyway.

Answer:

0.05

Step-by-step explanation:

Answer:

D.Initial value: 20, rate of change: -10

Step-by-step explanation:

As you see, it starts with x=1, y=20 so the initial value is 20 and as x goes up y changes by -10 so thats ur rate of change

Hope this helps! :)

Answer:

A.

Step-by-step explanation:

It's a little blurry to see the answers but I can assure you that A is the best answer because C has a y-intercept of 2 while A is higher in which it is placed at 3.

Answer: 200 Meters after 10 minutes.

Step-by-step explanation:

To find the answer you must multiply 20 for every minute.

Hope this helped :D

Answer/Step-by-step explanation:

5. Given that ∆FGH ≅ ∆TSU, all three angles and sides of ∆FGJ are congruent to all corresponding angles and sides of ∆TSU.

Thus:

Since, <HFG in ∆FGH corresponds to <UTS in ∆TSU, therefore:

<HFG ≅ <UTS

7. Given that ∆FGH ≅ ∆FGL, the following are the corresponding sides and angles:

FG ≅ FG

GH ≅ GL

FH ≅ FL

<FGH ≅ <FGL

<FHG ≅ FLG

<GFH ≅ GFL

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6x means 6 times x so when you replace x with 2 you get 6×2= 12

Answer:

(❁´◡`❁)

Step-by-step explanation:

Answer:

f= -21

Step-by-step explanation:

please mark brainlliest if you want.

Answer:

F=-21

Step-by-step explanation:

-2/3f-4=10

Multiply both sides

-2f-12=30

Add 12 to 30

-2f=42

Divide by -2

F=-21

Answer:

One possible pair:

7 x + 4   and  x + 1

Step-by-step explanation:

There are infinitely many pairs that meet this requirement.

Please mark me brainliest :D

Answer:

The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.

Step-by-step explanation:

bc

Answer:

36

Step-by-step explanation:

20*3=60

12*3=36

Its proportional

Answer:

36

Explanation:

60/20=3

12x3=36

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Answer:

  a  Plane FGI

Step-by-step explanation:

A plane is named either by its designator (Q) or by three non-collinear points in the plane. Here, the point I must be used, as the other designated points in the plane are all on the same line. The appropriate choice is ...

  Plane FGI

Answer:

3/10

Step-by-step explanation:

Numbers Given are:

1 1/2, 2 1/2, 1 2/3, and 2 5/6

The result at the end of all the math is 2 5/6.

1 2/3 + 2 5/6 = 4 1/2

Divide 4 1/2 by 1 2/3 to get 2 7/10.

Subtract 2 2/3 from 2 7/10 to get 1/5.

Multiply 1/5 by 1 1/2 to get 3/10.

So the number they thought of was 3/10.

Answer:

21 animals in the forest

Step-by-step explanation:

The weasel

Felicity

The 19 other animals

Hope this helped

Answer:  p = 8

Step-by-step explanation:

6(4-2p)+9p

24 - 12p + 9p

24 - 3p

-3p = -24

3p = 24

p = 8

Answer:

Step-by-step explanation:

Figure A has volume of 30 m³

Figure B is similar to figure A and the scale factor is:

Volume is the product of  three dimensions, therefore the volume of B will be greater by:

The volume of B is:

Answer:

I was going to answer then I realized I don't know the answer. Sorry.

Step-by-step explanation:

Answer:

2000g

Step-by-step explanation:

the first one is 2000g!

FROM 1KG_1000G

SO

2KG=2000G

Answer:

Step-by-step explanation:

There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.

So, 12x + 12x + 8x + 8x = 360

Simplifying all the x's gives us:

40x = 360

Divide by 40

x = 90

Now, we check this

40 (90) = 360

360 = 360 ✅

Answer:

6 months per books it's the answer

Answer:

25

Step-by-step explanation:

Answer:

25 lawns

Step-by-step explanation:

Since he can mow 5 lawns in 2 hours he can mow:

10 lawns in 4 hours

15 lawns in 6 hours

20 lawns in 8 hours

25 lawns in 10 hours

Hope this helps! It's a pattern! :D

Answer:

A

Step-by-step explanation:

5/11 X 100% = 45.45%

Answer:

x = 31

Step-by-step explanation:

So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.

Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.

Adding like terms, we get:

6x - 6 = 180

Move the -6 over to the right side.

We get:

6x = 186

Dividing both sides by 6, we get the value of x:

x = 31

If you have any questions, please don't be afraid to ask!