Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?

1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.

2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.

3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.

4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.

Answer:

x = 18 and x = 30

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

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

The 2 angles are corresponding and congruent , then

x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30

Answer:

1. x=18    2. x=30

Step-by-step explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

Answer:

x=80

Step-by-step explanation:

70 + 30+x =180 (sum of angles in a triangle =180)

x=80

Answer:

104 divided by a 100

1.04

Step-by-step explanation:

it is the same as moving the decimal two places to the left

Answer:

3

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

[tex] - 4x + 2 \\ \\ [/tex]

Answer:

See below for answer.

Step-by-step explanation:

Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.

Step-by-step explanation:

The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).

Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.

These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:

If a is positive, and |x| = a, then:

x = a or x = -a

Answer: 9. n = 2  19/20                                                                                         10. n = 2 1/12

Step-by-step explanation: 3 2/10-1/4 = n                                                           32/10−1/4                                                                                                               32/10+−1/4                                                                                                           16/5+−1/4                                                                                                                 64/20+−5/20                                                                                                         n = 59/20                                                                                                               n = 2 19/20                                                                                                             2 5/6-3/4 = n                                                                                                         17/6-3/4                                                                                                                   17/6+-3/4                                                                                                               34/12+-9/12                                                                                                             n = 25/12                                                                                                               n = 2 1/12                                                                                                                                                                                                                                  

Answer:

9.6

Step-by-step explanation:

(3) * (0.2)=0.6

Then do 9+ 0.6

this will equal 9.6

Answer:

2

Step-by-step explanation:

when you add -6 and 8 you'll get 2

Answer:

28 is less than 35 by 20%

35is greater than 28 by 20%

Answer:

Step-by-step explanation:

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

Answer:

a. 3.5  

b.5.4

c 2.6  

Step-by-step explanation:

/\_

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

Answer:

(x+2/3) (x^2 - 2)

Step-by-step explanation:

First we can seperate the problem

(x^3 + 2/3x^2) + (-2x - 4/3)

We factor x^2 out of the first parenthesis

x^2(x + 2/3) + (-2x - 4/3)

and factor -2 out of the second

x^2 (x+2/3) +-2 (x +2/3)

then we rewrite it as

(x+2/3) (x^2 -2)

-- Gage Millar, alg1/2 tutor

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

Learn more about renting here:

https://brainly.com/question/26268428

#SPJ5

Answer:

can't be simplified or you can add you get the answer

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.

Step-by-step explanation:

Answer:

that must mean that either the objects are giving off heat or the heat from one object is transferring to the air

Step-by-step explanation:

Answer:

The objects must be different temperatures.

Step-by-step explanation:

Answer:

[tex]\frac{-3}{16}[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]

=> [tex]\frac{-15}{80}[/tex]

=> [tex]\frac{-3}{16}[/tex]

Hoped this helped.

Answer:

v = 12

Step-by-step explanation:

[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross-  multiply )

6v = 8 × 9 = 72 ( divide both sides by 6 )

v = 12

Answer:

v=12

9/v =6/8 (cross - multiply)

6v = 8 x 9 = 72 (divide both sides by 6)

v = 12

Step-by-step explanation:

that's my answer

Answer:

i dont k if my explanation will help or not

Step-by-step explanation:

but it goes through the crosshairs in the 2nd quadrant at -10 on the y axis and up 6 on the x axis and then you go down 5 over 2

Answer:

hb ≈ 7.06cm

Step-by-step explanation:

Using the formulas:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for hb

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84

2·17

≈7.05882cm

Answer:

12.995

Step-by-step explanation:

D is the answer, not A