Find the values of x and y. State which theorems you used

Answer:

20

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Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50

Answer:

1. True

2. I don't know this one sorry :(

Step-by-step explanation:

Have a good day :)

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Answer:

$464 (0.08 is the decimal form of 8%)

Step-by-step explanation:

Answer:

The Answer is 0.08 Just did the Question

Step-by-step explanation:

Step-by-step explanation:

2 2 5 9 and 12

mode= 2

median = 5

Range : 12- 2 =10

Mean: 2+2+ 5+ 9+ 12=30

30÷ 5 = 6

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Answer:

Step-by-step explanation:

radius=3 in.

diameter=2r

=2*3

=6 in.

Radius = 3 inches

Diameter = 6 inches

The given radius is 3 inches.

We know that diameter is twice the radius. So,

Diameter = 2r

= 2×3

= 6 inches

Answer:

[tex]6h = 2[/tex]

[tex]15h = x[/tex]

cross multiplication

i got 5 as the answer

Answer:

B. 9

Step-by-step explanation:

the area = π × 3² = 9π ft²

Area of a circle = pi x R^2

R is the radius which is 1/2 the diameter.

R = 6/2 = 3 feet

Area = pi x3^2

Area = 9pi

The answer is B

Answer:

5+5 is 10 is simple question

Answer:

2(5+3)

Step-by-step explanation:

Answer:

2(5$+3$)

Step-by-step explanation:

hope this helps

Answer:

3×6²

3×36

108 is the answer weirdo

Answer: 16

Step-by-step explanation:

I think so.

Answer:

26.25

Step-by-step explanation:

sin60=8/f

sin60(f)=8

(sin60(f))/sin60=(8)/sin60

f=26.25

The round off of 4.776 to the nearest hundred results in 4.800.

To round 4.776 to the nearest hundred

Focus at the digit in the hundredth's place, which is the second decimal place.

In this case, the digit in the hundredth's place is 7.

Since 7 is greater than or equal to 5, we round up the previous digit, which is 7.

Therefore, rounding 4.776 to the nearest hundred results in 4.800.

Learn more about Round off here:

https://brainly.com/question/28128444

#SPJ6

Answers:

x = 8

y = 15*sqrt(2)

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

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

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

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

Answer: option A and D results in 3 significant figures.

Step-by-step explanation:

A. [tex]101 - 83.4 =17.6[/tex]

The number 17.6 has three significant figures.

B. [tex]121 - 1.75 =119.25[/tex]

The number 119.25 has 5 significant figures

C. [tex]7.23 + 12.6=19.83[/tex]

The number of 19.83 has 4 significant figures.

D. [tex]17\cdot 1.5=25.5[/tex]

The number of 25.5 has 3 significant figures.

Hence, option A and D results in 3 significant figures.

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

Answer:

k = 18

when x = 4, y = 3, z = -24

Step-by-step explanation:

x = k * y * z

Find k when x = 4, y = 3, and z = 24

4 = k * 3 * 24

4 = k * 72

4 = 72k

k = 72/4

k = 18

find z when x = -3 and y = 4

x = k * y * z

-3 = 18 * 4 * z

-3 = 72 * z

-3 = 72z

z = 72/-3

z = -24

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

Step 3: Solve for x

Substitution

Step 4: Solve for y

Answer:

The Ball will fall towrds its digram just like pendulum

Step-by-step explanation:

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

Answer:

prairie dog

Step-by-step explanation:

because this eats the other organisims

Th matrix is missing. The matrix is :

[tex]\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}[/tex]

Solution :

The column of the matrix are [tex]\begin{bmatrix}1\\ -4\end{bmatrix}[/tex] , [tex]\begin{bmatrix}-4\\ 16\end{bmatrix}[/tex], [tex]\begin{bmatrix}4\\ 4\end{bmatrix}[/tex]

Now each of them are vectors in [tex]$IR^2$[/tex]. But  [tex]$IR^2$[/tex] has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the [tex]\text{linearly independent set}[/tex] as the set contains [tex]\text{more vectors}[/tex] than there are entries in each vector.

Therefore, option (D) is correct.

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Answer:

2.7, 3, & 6

Step-by-step explanation:

those equal less than 10 when put into the equation

Answer:

20/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]