Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)

The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

We have to find, which equation is equivalent to the given expression.

The given expression is,

[tex]= 2- \dfrac{x-1}{x+2}[/tex]

To determine the equivalent expression following all the steps given below.

                   [tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]

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

                    [tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]

                    [tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]

Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

For more details refer to the link given below.

https://brainly.com/question/2264568

Answer:

The duration of the flight is 1 hour

Step-by-step explanation:

Since average speed = distance traveled / time

Let the duration of the flight be in z hours

So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr

Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.

200 = (600/z ) - (600/z + (1/2))

Multiply 2 through on (600/z + (1/2))

200 = (600/z ) - (1200 / (2z + 1))

Divide through by 200

= z(2z + 1) = 3

convert to quadratic equation

2z² + z = 3

2z² + z - 3 = 0

(2z + 3) ( z-1) = 0

z-1 = 0

z = 1 hour

Answer:

Patricia's amount of money = $125

Armando's amount of money = $95

Step-by-step explanation:

Given:

Total amount of money = $220

Patricia have $30 more than Armando

Find:

Amount of money each have.

Computation:

Assume;

Patricia's amount of money = a

So,

Armando's amount of money = a - 30

So,

a + a - 30 = 220

2a - 30 = 220

2a = 250

a = 125

Patricia's amount of money = $125

Armando's amount of money = 125 - 30

Armando's amount of money = $95

Answer:

C = (4,4)

It is (4,4) because it means that it is twice as large as the original coordinates.

Answer:

Number of books she has not read =8

Step-by-step explanation:

Number of books Tara has=160

Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152

Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8

Answer:

WX = 38

Step-by-step explanation:

To get this, we are gong to use the cosine rule

We have the general form as;

a^2 = b^2 + c^2 - 2bc Cos A

Let WX be a

a^2 = 17^2 + 26^2 -2(17)(26) cos 123

a^2 = 1446.46

a = √1446.46

a = 38.03

Answer:

142.5

Step-by-step explanation:

150/x=100/95

95*150/100=

142.5

Answer:

c. 100%

Step-by-step explanation:

profit or loss = (sale price - purchase price)/(purchase price) * 100%

profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%

profit or loss = (Rs. 150)/(Rs. 150) * 100%

profit or loss = 1 * 100% = 100%

Since the result is positive it is a profit.

Answer: The profit was 100%.

Answer:

9 games.

Step-by-step explanation:

You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.

Hope this help!!!

Have a nice day!!!

Answer:

that gy is rong dount do it

Step-by-step explanation:

Answer:

10 quarts

thank you

i think

Answer:

x+14.  

Sum of a number and 14 is x+14.

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

Answer:

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Step-by-step explanation:

Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.

Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options

A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 18/12 = 1 6/12 = 1 1/2

Option A is wrong

B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 16/12 = 1 4/12 = 1 1/3

Option B is wrong

C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12

Lowest Common Denominator = 12

Hence = 15/12 = 1 3/12 = 1 1/4

Option C is wrong

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Lowest Common Denominator = 12

Hence = 17/12 = 1 5/12

Option D is correct

Therefore, the fractions of the scarf each friend could have knit is Option D

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

Answer:

he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.

Answer:

[tex]Area~of~quarter:-[/tex]

[tex]=\frac{\pi *8*8}{4}[/tex]

[tex]=16\pi[/tex]

Answer:

ED = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values

[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )

18 ED = 108 ( divide both sides by 18 )

ED = 6

Step-by-step explanation:

try use ruler for AB , AC , & BC ,

then find the area of

Answer:

First you convert the mixed numbers into improper fraction

[tex]8\frac{3}{8} = \frac{67}{8} \\\\6 \frac{3}{4} = \frac{27}{4}[/tex]

Solution

[tex]A=\frac{\frac{27}{4} + \frac{67}{8} }{2}[/tex]

[tex]A=\frac{\frac{54 + 67}{8} }{2}[/tex]

[tex]A\frac{\frac{121}{8} }{2}[/tex]

[tex]A=\frac{121}{8}[/tex] * [tex]\frac{1}{2}[/tex]

[tex]A= \frac{121}{16}[/tex]

[tex]A= 7 \frac{9}{16}[/tex]

Step-by-step explanation:

Given : GH bisects ∠FGI

It means : ∠FGH and ∠HGI are equal

Given :

∠FGH = (5x - 8)°

∠HGI = (6x - 15)°

⇒  5x - 8 = 6x - 15

⇒  6x - 5x = 15 - 8

⇒  x = 7°

Substituting the value of x, We get :

∠FGH = 5(7) - 8 = (35 - 8) = 27°

∠HGI = 6(7) - 15 = (42 - 15) = 27°

∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°

Answer:

18 ft

Step-by-step explanation:

Similar triangles are proportional

Ratio of vertical legs  = Ratio of base legs

x/6 = 12/4

multiply both sides by

x = 12/4 * 6

x = 18 ft

Answer:

Sr i dont know

Step-by-step explanation:

Answer:

-2/7

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(-14-14)

   = 8/-28

   = -2/7

Answer:

2556

Step-by-step explanation:

Answer:

4 miles apart. the answer this question.

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each