A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?

To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.

28 - 16 = 12 students

40 - 28 = 12 students.

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

Answer:

-3

Step-by-step explanation:

take a set of points (2,3) (3,-6)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-6-(-3)}{3-2}[/tex]

[tex]\frac{-3}{3-2}[/tex]

[tex]\frac{-3}{1}[/tex]

-3

Answer:

true

Step-by-step explanation:

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

Answer: The constant rate change would be [tex]\frac{1}{9}[/tex].

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]

Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20

Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].

Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].

Lastly plug in all the components.

[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]

After solving all this the answer would be [tex]\frac{1}{9}[/tex]

725182626282527736282628

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

Lear more about Area and Perimeter of Square here:

https://brainly.com/question/29199125

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Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

=8×100,000

=800,000

2×10^3

=2×1,000

=2,000

Difference=800,000-2,000

=798,000

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

Answer:

The correct answer is approximately 20 ft !

Please mark me brainliest if you are able to do it :)

the answer is 20,336 ft

6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.

x + 4 - 3 = 1

x + 1 = 1

x = 0

Answer:

x = 8

Step-by-step explanation:

√x + 4 - 3 = 1

1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3

2) Simplify the right side: √x + 4 = 4

3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16

4) Move the constant term to the other side: x + 4 = 16 – 4

5) Simplify the right side: x + 4 = 12

6) Move constant side to the other side: x = 12 – 4

7) Finally, after simplifying the right side again, you get: x = 8

Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.

Answer:

the order is 0.64, 65%, 2/3, and 7/10

Step-by-step explanation:

because 2/3=0.66666, 65%=0.65, 7/10=0.7

Answer:

x = 8

Step-by-step explanation:

Hope this helps!

Answer:

Simplify the expression.

x2+8x+16

Step-by-step explanation:

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

Answer:2 4  −  1 8

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given:

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

Answer:

In Jan - 13,759

In Feb - 9,854

In both - 23,613

Step-by-step explanation:

hope it helps

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

Answer:

5 /12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Biking only:

Motorcycling only:

Neither:

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.