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Answer: x = 7 ft, DO = 25 ft, OG = 35 ft

Step-by-step explanation:

        We will write an equation using the segment addition postulate.

Given by segment addition postulate:

   DO + OG = DG

Substitute known values:

   (4x - 3) ft + (2x + 21) ft = 60 ft

Combine like terms and simplify:

   6x + 18 ft  = 60 ft

Subtract 18 ft from both sides of the equation:

   6x  = 42 ft

Divide both sides of the equation by 6:

   x = 7 ft

        Now, we will "plug" this value in and solve for the segments.

DO ➜ (4x - 3)ft ➜ (4(7) - 3) ft ➜ 28 - 3ft = 25 ft

OG ➜ (2x + 21) ➜ (2(7) + 21) ft ➜ 14 + 21 = 35 ft

Answer: 4500

Step-by-step explanation:

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

Explanation:

The square marker in the top left corner tells us we have a 90 degree angle. The 8x+10 must also be 90 degrees for lines u and v to be parallel. Refer to the alternate exterior angle theorem. Ignore the diagonal lines. Your teacher likely put them there as a distraction.

8x+10 = 90

8x = 90-10

8x = 80

x = 80/8

x = 10

We can express this as:

x + 2x = £3.45

We can solve for x with no additional work.

x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15

Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.

x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)

The number added to the numerator and the denominator is 2/3.

It is given in the question that when the same number is added to the numerator and denominator of fraction 5/7, the result is 17/23.

We have to find the number added to the numerator and the denominator.

Let the number be x.

Hence, according to the data given in the question, we get,

(5 + x)/(7 + x) = 17/23

By cross - multiplication, we get

23(5 + x) = 17 (7 + x)

Opening the bracket according to the distributive property of addition and multiplication, we get,

115 + 23x = 119 + 17x

23x - 17x = 119 - 115

6x = 4

x = 4/6

x = 2/3

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Answer:

t = 20

Step-by-step explanation:

add 3 to both sides to isolate t:

t = 17 + 3

t = 20

Answer: t= 20

Step-by-step explanation:

According to the given statement the value for:

A. = 6x²

B. = 6x³

An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.

Polynomials are added by combining like terms.

We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.

We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:

2x²-(-4x²) = 2x²+4x² = 6x².

Similarly for the second equation on solving we get:

Polynomials are added by combining like terms.

We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:

5b³-(-b³) = 5b³+ b³ =  6x³.

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I understand that the question you are looking for is:

Use what you know about addition and subtraction of polynomials to find the missing term represented

by the question mark in each equation.

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8

? =

(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17

? =

Answer:

b

Step-by-step explanation:

5x + 4y [tex]\geq[/tex] 2

4y [tex]\geq[/tex] - 5x + 2

y [tex]\geq[/tex] (-5/4)x + (1/2)

Answer:

good question it is very hard question

Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?

The initial capacity of the stadium  = 15400 seats

Planned new capacity = 20790 seats

Increment in the number of seats = 20790 - 15400 = 5390 seats

Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100

Therefore,

(5390/15400)*100 = 0.35*100 = 35%

So the percentage increase in the number of seats after renovation will be 35%

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Step-by-step explanation:

ano po ? pwede e bou nyo yong Tanong

Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

Step-by-step explanation:

To find the unit rate of a graph find two points. and set up this equation

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

Then solve for the Unit rate which can also be referred to as slope, or change in y over x

Hope this helps!

Answer:16

Step-by-step explanation:

2x3+10

Answer:

The answer is 60

Step-by-step explanation:

10+2= 20

20x3=60

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

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The hypothesis of both statements are false.

1) Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear,

Thus, if A, B, C, and D are collinear, then they cannot lie in the same plane.

Thus, the hypothesis is not true.

2) When we bisect an angle, it is possible that one of the endpoints of the line may be outside the interior of the bisected angle. Thus, the hypothesis is Not true.

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Answer:

all the angles of the pentagon do not add up to 540

Step-by-step explanation:

total degree in a shape

180 × (n-2)          where n is the number of side

a pentagon has 5 sides so

180 × (5-2)

= 540

100+105+72+126+127= 530

all the angles of the pentagon do not add up to 540

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

Step-by-step explanation:

0.29 as a fraction is 29/100. Anytime you have a decimal, just turn it into a whole number and simplify it. However, 29/100 is already in its simplest form.

Answer: -1/2

Step-by-step explanation:

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

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Answer:

-15w+9y+6

Step-by-step explanation:

I think that you are asking to simplify the expression.  An equation has an equal sign and I do not see one.

We need to distribute the -3 to everything inside of the parentheses.  

A negative times a negative is a positive.

A negative times a positive is a negative.

-3(5w-3y-2)

-3(5w) -3(-3y) -3(-2)

-15w + 9y + 6

Hi!

To simplify this, use the Distributive Property:

Now, let's simplify the given expression:

[tex]\dashrightarrow\sf{-3(5w-2y-2)}[/tex]

Like the property said, We should distribute -3 so that it's multiplied by each term:

[tex]\bullet\dashrightarrow\sf{-15w+9y+6}[/tex]

Therefore,

[tex]\bullet\dashrightarrow\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{-15w+9y+6}}}}}\dashleftarrow\bullet[/tex]

- stargazing :')

Answer:

no. of round trip is 600

Step-by-step explanation:

lets be n is number of 12-ride tickets

and 30n is number of round trip

60n+12n=1440

72n=1440

n=20

30(20)=600

So,the answer of number of round trip is 600

Answer:

10xto the power of 7

Step-by-step explanation:

Multiply x2x2 by x5x5 by adding the exponents.Tap for fewer steps...Move x5x5.5⋅2(x5x2)5⋅2(x5x2)Use the power rule aman=am+naman=am+n to combine exponents.5⋅2x5+25⋅2x5+2Add 55 and 22.5⋅2x75⋅2x7Multiply 55 by 22.10x710x7

The identity is verified, yes. secx-secxsin^2x=cos x

What is an identity?

An identity in mathematics is an equality connecting two mathematical expressions, A and B, such that both expressions provide the same result for any value of the variables falling within a given range of validity.

An identity is an equation that, regardless of the values used, is always true. 2 x + 3 x = 5 x is an identity because, according to the preceding equation, 2 x + 3 x will always equal 1 regardless of the value;

According to given information;

secx = 1/cosx

cos²x+sin²x= 1

**sin²x = 1-cos²x

by (*) :

secx - secx sin²x=(1/cosx) -(1/cosx) sin²x

                       = (1/cosx) (1-  sin²x)....factory :(1/cosx)

by(**)

                     sec x-sec x sin²x  =  (1/cos x)cos²x

                     sec x-sec x sin²x  = cos x

( simplify by : cos x)

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Answer: i think its d

Step-by-step explanation:

Answer: 40.91 mph

Step-by-step explanation:

600 ft/10 seconds=

600*6 ft/(10*6) seconds=

3600 ft/60 seconds=

3600 ft/1 minute =

3600*60 ft/(1*60) minute=

216000 ft/60 minutes=

216000 ft/hour=

(216000/5280) miles/hour= 40.91 mph