Find the coordinates of the midpoint of the segment given it’s endpoints (-3,-7) and (3,-5)

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]

[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]

[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]

[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]

[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]

[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{}}}}}[/tex]

Answer: x= 26

Step-by-step explanation:

27+x+127 = 180(being linear pair)

or, x + 154 = 180

or, x = 180-154

so, x = 26

Answer:

26

Step-by-step explanation:

Here,

27+ 127+ x =180

154+ x = 180

x =180-154

x=26

hope it is helpful

Answer:

m<WYX = 31°; m<WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.

If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.

Then the equation will be

∠WYX + ∠WYZ = 90°

2x - 7 + 3x + 2 = 90

             5x - 5 = 90

             5x = 90 + 5

             5x = 95

               x = 95 / 5

               x = 19

Then the measure of the angle ∠WYX will be

∠WYX = (2x − 7)°

∠WYX = (2 × 19 − 7)°

∠WYX = (38 − 7)°

∠WYX = 31°

Then the measure of the angle ∠WYZ will be

∠WYZ = (3x + 2)°

∠WYZ = (3 × 19 + 2)°

∠WYZ = (57 + 2)°

∠WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

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Answer:

10

Step-by-step explanation:

f(x)=x

subtitute 10 in the place of x:

f(10)=10

Answer:

1)rs.6000

Step-by-step explanation:

1)30 000*20/100=rs.6000

Sorry I don't know the answers for other questions cause I don't know outright price

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

Answer:

Image result for 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice

In the US, reduced- acid orange juice is marketed to persons with sensitive stomachs. Orange juice concentrate can be bought with different ratios – typical values lie between 14 and 17. Juice acidity is measured using a chemical titration method. Orange juice contains acids that release hydrogen ions (H+) in solution.

Step-by-step explanation:

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

Answer:

(-6, 3)

Step-by-step explanation:

If you rotate the coordinates, (2, -3), 90° clockwise around the point, (1, 4), then it will become Point P' at (-6, 3). There isn't a very efficient way to explain this but since Point P is 7 units south and 1 unit east of (1, 4) we need to keep it the same distances away when we turn it 90°. You can use something like parchment paper, record the point you're turning it around, (1, 4), and the point to be turned, Point P at (2, -3). If you rotate it exactly 90° without ever moving the point on (1, 4), Point P should now be at (-6, 3) if that makes sense.

Answer:

40:3

Step-by-step explanation:

1.6kg:120g

1600g:120g

1600:120

160:12

80:6

40:3

Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

Answer:

i .angle AFC

iiAFC and AFB

Step-by-step explanation:

Solution,

Let the total number of books be x, then

Books in English language=4800

40% of x=4800

40/100×x=4800

40x/100=4800

40x=4800×100

40x=480000

x=480000/40

x=12000

So the total number of books in the library is 12000.

Hello :D

2 x $20 = $40

$9.09 + $13.96 = $23.05

$40.00 - $23.05 = $16.95

The answer is $16.95. I hope this helps :)

Answer:

the answer is b

Step-by-step explanation:

i did this alrdy

Answer: $ 927

Step-by-step explanation:

20% is deducted from his check.

20/100 = x/4635 (cross multiplication)

= $927

The deducted amount for each month will be $77.25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Fred's health insurance premium is $4635 annually.

And, His employer pays 80% and he is paid monthly.

Now,

Since, His employer pays 80% and he is paid monthly.

Hence, The percent of deducted salary = 20%

So, The deducted amount of each month = 20% of $4,635 / 12

                                                                = 20/100 × 4635 / 12

                                                                = $927 / 12

                                                                = $77.25

Thus, The deducted amount of each month = $77.25

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Answer:

2 and 8

Step-by-step explanation:

let the numbers be x and y , then

[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM

x + y = 10 → (1)

[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM

xy = 16 → (2)

From (1) , expressing x in terms of y

x = 10 - y ← substitute into (2)

(10 - y)y = 16

10y - y² = 16 ( subtract 16 from both sides )

10y - y² - 16 = 0 ( multiply through by - 1 )

y² - 10y + 16 = 0 ← in standard form

(y - 2)(y - 8) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 8 = 0 ⇒ y = 8

Substitute into (1)

x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2

The 2 numbers are 2 and 8

Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them

Step-by-step explanation:

A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps

Answer:

the answer is in picture

Answer:

x=5/2y+4

Step-by-step explanation:

Answer:

x - 9

Step-by-step explanation:

Answer:

bguiyhvulcvougtjglctvtgulvugtfvufygbgl

Step-by-step explanation:

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 6(x+y)[/tex]

[tex]\\ \sf\longmapsto 6(x)+6(y)[/tex]

[tex]\\ \sf\longmapsto 6x+6y[/tex]

Answer:

2 + 2 = 4

Step-by-step explanation:

Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it,  If we have 2 oranges and have another 2 oranges we have four oranges.

Answer:

Step-by-step explanation:

20% of juice has:

If x cups of juice added we'll have:

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

f(x)=-8-5x

[tex]\\ \rm\longmapsto f(-4)[/tex]

[tex]\\ \rm\longmapsto -8-5(-4)[/tex]

[tex]\\ \rm\longmapsto -8+20[/tex]

[tex]\\ \rm\longmapsto 12[/tex]

Answer:

the decimal expansion of an irrational number will be non terminating and non recurring

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

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

Answer:

17.

9x - 2 = 8x + 6 (opposite angles on the transversal)

9x - 8x = 6+2

x = 8

18.

-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)

36x = 180

x = 180/36

x = 5

19.

9x + 4 + 95 = 180  (angles on the same side of transversal add up to 180)

9x + 99 = 180

9x = 180-99

9x = 81

x = 81/9

x = 9

20.

16x - 2 = 110 (opposite angles on the transversal)

16x = 110 +2

16x = 112

x = 112/16

x = 7

21.

29x + 4 = 31x -4 (opposite angles on the transversal)

4 + 4 = 31x - 29x

2x = 8

x = 8/2

x= 4

22.

12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)

18x +18 = 180

18x = 180-18

18x = 162

x = 162/18

x = 9