Scott has verified that the window is a rectangle. Side AB is half of the length of side AC. If the perimeter of the window is 120 ft., what are the lengths of side AB and side AC?

Answer:

The answer is option A

4 x ( 9 + 6)

Hope this helps you

Answer:

∠CDE

Step-by-step explanation:

Name it by the order of the letters with the point of the angle in the middle

Answer:

"Vx: if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

Step-by-step explanation:

The Following statement in the form  âˆ€x ______, if _______ then _______ is a valid argument and this because any valid argument with "true premises" has a "true conclusion" as well

we will rewrite this statement in a universal condition statement form

assume x is a valid argument with true premises

then the following holds true

p(x) : x is a valid argument with true premises

q(x) : x has true conclusion

applying universal conditional statement

"Vx, if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

Answer:

the answer is false

Step-by-step explanation:

FALSE. A person who yells at an official is not showing a competitive spirit.

A competitive spirit shows the following attributes:

A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.

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Step-by-step explanation:

this isn't much I think so this isn't plus how come everything in March

Answer:

no

Step-by-step explanation:

your answer is correct

we have more than one y for one x.

then it's not a function

Answer:  19.5 miles or 108.75 miles

Step-by-step explanation:

Let ship traveled to the west x hours and then to the north y hours. Total 7 hours.  So we can write 1st equation

x+y=7                                                          (1)

The ship traveled to the west x hours with speed 25 miles/h - the distance 25*x

The ship traveled to the north y hours with speed 19 miles/hour - the distance   19*y

Note that the angle between north and west directions is 90 degrees.

So if the initial traveling point is A, the final travelling point ic C and the point ,  where ther the ship has changed the travelling direction from West to North is B.

So we have the right triangle ABC, where B angle is right=90 degrees.

AB side=25*x,  BC side= 19*y and AC side 145 miles.

According to Pithagor theorem we can write

AC^2=AB^2+BC^2

21025=625*x^2+ 361*y^2                       (2)

Solve the system of equations (1) and (2)

y=7-x

625*x^2+361*(7-x)^2=21025

625*x^2+361*(49-14x+x^2)=21025

625*x^2+17689-5054*x+361*x^2=21025

986*x^2- 5054*x-3336=0   dividing on 2 we'll get

493*x^2-2527*x-1668=0

D=3096433 sqrt(D)=appr 1760

x1=(2527-1760)/493/2= appr  0.78 h  

x2=(2527+1760)/493/2=appr 4.35 h  

So the problem has 2 solutions :

heading west the ship traveled  or 0.78*25= 19.5 miles

Or 4.35*25= 108.75 miles

Answer:

let w = time heading west at 25 mph

the total time is 7 hrs, therefore

(7-w) = time heading north at 19 mph

Distance = speed * time

25w + 19(7-w) = 145

25w + 133 - 19w = 145

25w - 19w = 145 - 133

6w = 12

w = 12/6

w = 2 hrs traveling west

therefore

2 * 25 = mile going west

Confirm this solution, 7 - 2 = 5 hrs going north

19 * 5 = 95mi

25 * 2 = 50mi

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

total dist 145 mi

Answer:

20

Step-by-step explanation:

n=20 it is that answer

Answer:

20

Step-by-step explanation:

20 is equal to n

The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988

Explanation:

In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.

Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)

Answer:

answer B

Step-by-step explanation:

hello,

[tex]f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4[/tex]

so the winner is the answer B

hope this helps

Answer:

D)  

(ƒ ∘ g)(–1) = –4

Step-by-step explanation:

Answer:

Pedro Dropdown 1: they Do not Intersect, they Are the same line

Step-by-step explanation:

3y = 6x + 6

y = 2x + 2

3y-6x = 6... Equation one

y-2x = 2... Equation two

Dividing equation one by 3 gives

Y -2x = 2. Which is same thing with equation 2

So I think the two are same line and do not intersect.

Answer:

Pedro: are the same line, infinitely many

Amy: is

Matt: always, infinitely many

Step-by-step explanation:

PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.

AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.

MATT:  When the equation 3y = 6x + 6  is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.

Answer:

Step-by-step explanation:

k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8

k = 4;  2k + 2 = 2*4 + 2 = 8 +2 = 10

k =5; 2k + 2 = 2*5 +2 = 10+2 = 12

k=6;  2k +2 = 2*6 + 2 = 12+2 = 14

k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16

k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18

∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78

Answer:

  $15,000

Step-by-step explanation:

The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.

However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.

Only the $15,000 main mortgage interest can be an itemized deduction.

Answer:1.8(x -1)

2.0.4a -7

Step-by-step explanation:

Answer:

The area of a rectangle with length of 5 and width of 5.

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.

area = lxw

A=5x5 (5 times itself)

A=25

therefore it is a perfect square

b I just did the unit test review this morning

Answer:

1/3 feet.

Step-by-step explanation:

The length = area / width

= 7/9 / 2 1/3

= 7/9 / 7/3

= 7/9 * 3/7

= 3/9

= 1/3 feet,

Answer:  G ∩ M = {Anael, Max}

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Step-by-step explanation:

intersection ∩ - items found in BOTH sets

union U - the joining of the sets. include EVERYTHING in the sets.

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Anael, Barek, Bay, Carlin, Kai, Max}

G ∩ S: Anael and Max are found in both sets

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Acton, Anael, Barek,  Carlin, Dario, Kai}

G U S: include everything in G and everything in S. If found in both sets, only list it once.

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

    Notice that Acton and Anael are in both sets but we only list them once.

Answer:

15%

Step-by-step explanation:

The tank's capacity is 200,000 gallons.

170,000 gallons were used.

200,000 - 170,000 = 30,000

30,000 gallons of fuel are still there.

percent = part/total * 100%

percent = 30,000/200,000 * 100% = 15%

Answer:

b = 0

Step-by-step explanation:

The standard form of a regular quadratic equation is ax² + bx + c and the standard form of the difference of squares is ax² - c. This means that b = 0 because there is no x term.

Answer:

Answer:

Step-by-step explanation:

Let the angle be x

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

7 is the hypotenuse

4 is the opposite

sin x = 4/7

x = sin-¹ 4/7

x = 34.85

x = 35° to the nearest degree

Hope this helps you

Answer:

Step-by-step explanation:

There are two distinct statements but put together, it is:

- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.

For Susan Collins, she advocates gun control too.

So the symbolic or algebraic representation is:

(SC = DF): (MC ~ AE), (PM ~ WA)

OR

(GC = GC): (MC ~ AE), (PM ~ WA)

Where ":" represents "such that" or "given that"

" ~ " represents "support or promotion of"

It can now be read thus;

Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.

Answer:

x + 4√(x + 2) + 6

Step-by-step explanation:

All we need to do is expand by using FOIL (First, Outside, Inside, Last):

x + 2 + 2√(x + 2) + 2√(x + 2) + 4

Then we combine like terms to get our final answer:

x + 2 + 4√(x + 2) + 4

x + 4√(x + 2) + 6

Answer:

A

Step-by-step explanation:

If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.

Option C is the correct answer.

We have,

In a quadrilateral, if one pair of opposite sides are parallel and equal in length, then the quadrilateral must be a parallelogram.

This is one of the properties of parallelograms.

This also means,

One pair of opposite sides is congruent and parallel.

Thus,

If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.

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Answer:

Step-by-step explanation:

The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as

Perimeter = 1/2 × 2πr = πr

Since radius, r = 3, then

Perimeter of semi circle = 3 × 3.14 = 9.42 inches

Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches

Area of semi circle = 1/2 × πr²

Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 6 × 4 = 12 inches²

Area of composite shape = 14.13 + 12 = 26.13 inches²

The perimeter and area of the composite shape is:

Recall:

Area of a circle = πr²

Perimeter of circle = 2πr

Area of triangle = 1/2(bh)

The composite shape given is composed of a triangle and a semicircle.

Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle

Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches

Area of the composite shape = area of semicircle + area of triangle

Area = 1/2(3.14 × 3²) + 1/2(6 × 4)

Are = 14.13 + 12

Area of the composite shape = 26.13 square inches.

Therefore, the perimeter and area of the composite shape is:

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Answer:

8

Step-by-step explanation:

putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8

The length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.

The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.

In the given image, the length figure LMNO represent a square, The length of the LM is,

[tex]LG=4\rm \; units[/tex]

In the image, point G is the intersection point of the diagonal of the square.

As the diagonals of the square bisect each other at the intersection point. The length of LN is,

[tex]LN=2\times LG\\LN=2\times4\\LN=8[/tex]

The length of both the diagonals of the square is equal in length. Thus,

[tex]MO=LN\\MO=8[/tex]

Hence, the length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.

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Answer:

yes it is 2/3

Step-by-step explanation:

Answer:

21÷3 =9

3×9=21

Therefore the answer is 9 .

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can help

Answer:

Subtract the 2w to both sides of the equal sign.

Step-by-step explanation:

Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.