This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.

Since you know a line is = 180*

if angle EFG is 125, we can get angle EFD = to 180-125=55

And since we know that the line ED is congruent to line EF, angle EDF is = 55

180-55*2= 70

angle DEF=70

Answer: It is constant

Answer:

Constant.

Step-by-step explanation:

Constants are any number that does not have a variable such as x or y, so if they do not have variables, there definitely would not have coefficients. Examples of constants are 2, 5 and 67.

Coefficients are like the 2 in 2x, the 5 in 5y and the 67 in 67xy. All of these numbers have a variable.

Answer:

25500

Step-by-step explanation:

2,000 +3,500+4,000+6,000+10,000= 25,500

Answer:

It is n-1. Does this help any or not?

Answer:

1/4

Step-by-step explanation:

so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = [tex]x[/tex]

New volume = (15+[tex]x[/tex]) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

[tex]15\times 20\% + x = (15+x)\times 40\%\\\Rightarrow (3+x)\times 5 = (15+x)\times 2\\\Rightarrow 15+5x=30+2x\\\Rightarrow 3x=15\\\Rightarrow x =5\ gallons[/tex]

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = [tex]\frac{5}{3} =\bold{1.67\ gallons}[/tex]

Answer:

the answer would be 224/2

Step-by-step explanation:

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.

If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,

H² = P² + B²

Let's check the second option, then we have

(√17)² = 3² + (√8)²

17 = 9 + 8

17 = 17

Thus, the correct option is B.

More about the Pythagoras theorem link is given below.

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Answer:

y = 25x + 50

Step-by-step explanation:

Answer:

x1=[tex]\frac{-1-13}{3}[/tex], x2=[tex]\frac{-1+13}{3}[/tex]

Step-by-step explanation:

Answer: 29 divided by 5                   5 4/5

Step-by-step explanation: EDGE 2022

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]

So, the height of the plane is 404.98 m.

Answer:

-5x - 9=0

-9=5x

x=-9/5 is your answer

Answer:

54°

Step-by-step explanation:

total angels is 360°

(15*100)/360 = 54°

Answer: 25:15

Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.

Answer:

314 * 2

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

6n -8n -14 +4 = -2

-2n = 8

n = -4

1, 2, 4, 8, 21, 27

4+8= 12

12÷2= 6

Answer:

6

Answer:

The towel costs 110 rupees

Step-by-step explanation:

Let n be napkins, and t be towels. Then:

6n+t=200

and

n=t-95

So:

6(t-95)+t=200

7t-570=200

7t=770

t=110....................

Among the set of towels and napkins, the cost of the towel will be equal to 110 rupees.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data given in the question,

Assume that n is for napkins, and t is for towels then,

6n + t = 200  (i)

Also,

The cost of the napkin is rupees 95 less than the towel,

n = t - 95 (ii)

Use equations (i) and (ii)

6(t-95)+t=200

7t-570=200

7t=770

t=110

To know more about Expressions:

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Answer:

1 foot by 8 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

last one

Answer:

8+(X×0.50)=y

Step-by-step explanation:

We know it costs 0.50 for extra toppings, so X=the amount of toppings and we multiple that by the cost of the toppings. So lets pretend you're getting 3 toppings. 8+(3x0.50)=9.50

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

Answer:

the answer is .04634994206

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

The Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that,

Cost of raising a child            in 2 years

Birth to 5 years old                $65,250

5 to 18 years old                    $139,560

4 y Public college                  $24,382

4 y private college                 $98,470

Here, total money = 65,250+139,560+24,382+98,470

= $327662

Money to raise in a year = 327662/18

= $18203

Therefore, the Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

To learn more about the unitary method visit:

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Answer:

x2+8x+15=(x+5)(x+3)

Step-by-step explanation:

Trinomials have the form: ax2+bx+c. When factoring trinomials where a=1

Answer:

x(x - 8)

Step-by-step explanation:

First, factor out an x from both terms:

x² - 8x

x(x - 8)

So, the factored form of the binomial is x(x - 8)