find the area of the trapezoid below by decomposing it into fimilar shape?​

Answer:

[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]

Step-by-step explanation:

The distance between two coordinates is given by:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.

The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:

[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]

The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:

[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]

[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].

Therefore, the total perimeter of the triangle is:

[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].

Answer:

[tex] 2 \dfrac{1}{4} [/tex]

Step-by-step explanation:

[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]

[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]

[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]

[tex] = 2 \dfrac{1}{4} [/tex]

Answer:

The solution x > 10 can be represented in two ways such as:

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]

Answer:

Step-by-step explanation:

the bag of oranges is 8/8

they ate 3/8

8/8-3/8=5/8 left

Answer:

$3840

Step-by-step explanation:

4/5 = 80%

20% of $4800 = $960

$4800 - $960 = $3840

Answer:

a. 48000 cm3

b. 12 m3

c. 37500 cm3

Step-by-step explanation:

Answer:

Disagree 15 minutes

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

You can find the degree of a polynomial by adding all of the exponents on a specific variable.

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

Hey again!

The answer to your question is 4/3

This is because it is larger than one, so it would make it bigger than the original drawing.

Hope it helps and let me know if there's anything else. Have a great day!

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

Answer:

-2, and 2 away from zero

Step-by-step explanation:

by going left, you are going negative

1-3=-2

-2+2=0, so you are 2 away from the number line

i hope i could help<3

Answer:

-75 x^2 - 31 = 3 x - 1

Step-by-step explanation:

Answer:

The circle has a circumference of approximately 31.4 square inches.

Step-by-step explanation:

We're told that the diameter is equal to ten inches.  

The circumference of a circle is the perimeter of it. And that is equal to the diameter times pi.  We're told to use the value 3.14 for pi.

So all we have to do is multiply the diameter (10) by pi (3.14):

10 × 3.14

= 31.4

So the circle has a circumference of approximately 31.4 square inches.

Answer:

A

Step-by-step explanation:

If Tim only has $25, then he can't buy anything past $25.

Answer:

It is A

Step-by-step explanation:

Thanks for the points

Answer:

Step-by-step explanation:

-8s-28>4

-8s-28+28>4+28

-8s>32 we divide by 8

-s>4 we multiply by -1 and we will change the sign because of this

s<-4

Answer:

s<-4

Step-by-step explanation:

another person did it i think ^

                                               |          

Answer:

7+√5

Step-by-step explanation:

Answer:

7+[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

Answer:

3) ∆RST is similar to ∆FGH by the SSS Similarity Theorem.

Answer:

Store B

Step-by-step explanation:

Store A

20% is just 1/5 in percent form

22.00= 22*1/5 = 22/5 = 4.40

22.00-4.40=17.6

Store B

22.50-5=17.5

Now you can see that 17.5 is less than 17.6 by 0.1

♡Answer:♡

Its false, why? bc the domain of every rational function is need not be the set of real numbers

♡Step-by-step explanation:♡

♡ ∩_∩

（„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

The domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

The domain of a function is the input values of the function for which it exists.

Rational functions are function that can be written as a ratio of two functions. For example given the function f(x) = 2/x-3

The domain values are the input values x. The values of x can be any values either real numbers, integers, or even natural numbers.

This means that the domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

Learn more here: https://brainly.com/question/18486099

Answer: Add the two equations together to eliminate y

Step-by-step explanation:

X+y=3

4x-y=7

I would use elimination since one equation has +y and one equation has -y

Add the two equations together

X+y=3

4x-y=7

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

5x = 10

Answer:

306

Step-by-step explanation:

Answer:

-5< X <10

Step-by-step explanation:

-6+1 < x < 9+1

-5 < x < 10

Answer:

- 5 < x < 10

Step-by-step explanation:

Given

- 6 < x - 1 < 9 ( add 1 to all 3 intervals )

- 5 < x < 10

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2