If triangle ABC is congruent to triangle DEC,
angle B = 2x + 31 and angle E = 7x - 24
x = ?

Mrs. Shipley moved at a speed of 12.0266 feet per second which was originally expressed in miles per hour.

The miles per hour multiplied by 1.466667 gives the speed in feet per second.

Mrs. Shipley ran at an average speed of 8.2 miles per hour.

These units must be converted into feet/second.

We know that,

1 miles/hour =  1.466667 feet/second

So, 8.2 miles/hour = 8.2 ×  1.466667 feet/second

∴ 8.2 miles/hour = 12.0266 feet/second

Therefore, Mrs. Shipley ran at a rate of 12.0266 feet per second, which was originally expressed in miles per hour.

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Answer: 2(s+b)

Step-by-step explanation:

1) a + r = t

a = t - r

2) x/2 - b = s

x/2 = s + b

x = 2(s + b)

x = 2s + 2b

The number of miles he/she can drive with a budget of 150 dollars is 469 miles.

The car rental advertised a car for  $27.95 per day and $0.26 per mile.

If someone rents the car for 4 days and he has a budget of 150 dollars, the number of miles he can drive can be calculated as follows:

The equation used to represent the situation is as follows:

let

x = number of miles drove

Therefore,

150 = 27.95 + 0.26x

subtract 27.95 from both sides of the equation

150 - 27.95 = 27.95 - 27.95 + 0.26x

0.26x = 122.05

divide both sides by 0.26

x = 122.05 / 0.26

x = 469.423076923

x = 469 miles

Therefore, the number of miles he can drive is 469 miles.

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The value of the unknown angle is as follows:

An angle bisector or the bisector of an angle is a ray that divides an angle into two equal parts

Therefore, CH bisects ∠GCD.

Therefore, it divide ∠GCD into two equal halves.

GC bisect ∠BGD.

Therefore, it divides ∠BGD into two equal halves.

Hence,

m∠BGC = m∠CGF

Therefore,

m∠BGC  = 7x - 2

m∠CGF = 8x - 8

7x - 2 = 8x - 8

7x - 8x = -8 + 2

-x = -6

x = 6

Therefore,

m∠BGF = 7x -2 + 8x - 8

m∠BGF = 15x - 10

m∠BGF = 15(6) - 10

m∠BGF = 90 - 10

Therefore,

m∠BGF = 80 degrees

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Answer:

212 ft

Step-by-step explanation:

[tex]455+2Q=879 \\ \\ 2Q=424 \\ \\ Q=212[/tex]

Based on the fact that there are courses with 3 credits and 4 credits, with the total that a student can earn being 65 credits, the number of 3 credit courses that the student completed was 19 courses and the number of 4 credit courses was 2 courses.

Assuming that the number of courses worth 3 credits are denoted as x and the number of courses worth 4 credits are denoted by y, the system of equations would be:

3x + 4y = 65

x + y = 21 courses

Using substitution for y gives:

x + y = 21

y = 21 - x

The number of courses with 3 credits is:

3x + 4y = 65

3x + 4(21 - x) = 65

3x + 84 - 4x = 65

84 - 65 = 4x - 3x

1x = 19

x = 19 courses

Number of 4 credit courses is:

= 21 - x

= 21 - 19

= 2 courses

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Answer:

Obtuse angle is not a right angle

Obtuse angle are angles between 90° and 180°

Answer:

[tex](-5y^4+4y^3)+(3y^2-2y)[/tex]

Value of 'a' for the given statement  the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.

As given in the question,

Given statement :

Negative a minus four sevenths equals two thirds for a

Represent the statement in equation form :

-a -(4 / 7) = ( 2 / 3 )

Solve by adding both the side ( 4 / 7 ) we get,

-a - (4 /7) + (4 /7) = (2/3) +(4/7)

⇒ -a = (2/3) + (4/7)

least common multiple of 3 and 7 is 21.

-a = ( 14 /21) + (12 /21)

⇒ -a = 26 /21

⇒ a = -26/21

Therefore, value of 'a' for the given statement  the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.

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the expert answer is wrong

Answer

- 29xy

Step-by-step explanation:

5x(- 4y) = - 20xy

3x(- 3y) = - 9xy

- 20xy + - 9xy = - 29xy

Answer:

4.69144 oz

Step-by-step explanation:

Answer:

The total flight duration from the United States to Portugal is 9 hours and 41 minutes.

Step-by-step explanation:

The distance between Portugal and United States is 4680 miles. The fastest way to get from Portugal to the United States is to fly. Taking this option will cost €220 - €1500 and takes 10h 29m. The distance between Portugal and United States is 4680 miles.

The domain of the function f(x) = 4 · x² + 12 · x - 5 is the set of all real numbers.

Functions are characterized by three features:

In this problem we need to find the set of all x - values of the polynomic function described in the statement. According to function theory, polynomials are continuous and their domain are always the set of all real numbers.

The domain of the polynomic function is the set of all real numbers.

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Answer:

if you mean between them both then 9.5

if you mean divide then 2.65217391 or rounded as 2.65

Answer: 9.5/2.56

Step-by-step explanation:

I wasn't sure if you meant all of them or not, sorry.

Still 5 seconds.

(Assuming the Earth around that building is flat.

Answer:

x=±√7

Step-by-step explanation:

2x²+31=17

2x²=31-17

2x²=14

x²=14÷2

x²=7

x=±√7

Hello !

Answer:

[tex]\Large\boxed{\sf Slope\ =0}[/tex]

Step-by-step explanation:

Considering two points [tex]\sf A(x_A, y_A)[/tex] and [tex]\sf B(x_B, y_B)[/tex], the slope of the line that passes through A and B is given by [tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex].

Given :

Now we can calculate the slope with the previous formula :

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

[tex]\sf m=\frac{0}{6}[/tex]

[tex]\boxed{\sf m=0}[/tex]

The slope of the line is 0.

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Have a nice day

The number of ounces necessary when 11 dinner guests want salad is 104 ounces.

It should be noted that 1 cup = 8 ounces. Therefore, 2.1 cups will be:

= 2.1 × 8 = 16.8 ounces.

The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.

Therefore, if 11 dinner guests want salad, the number of ounces of dressing that will be necessary will be:

= 16.8 × 0.56 × 11

= 104

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Answer:

m<1 = 159˚

m<2 = 21˚

m<4 = 21˚

Step-by-step explanation:

Angle one is a vertical angle to angle 3 so they have the same angle. Angle 2 and 4 are adjacent angles to angle 3, so they are supplementary angles with angle 3, which 180-159 = 21˚.

Answer:

k = -5

Step-by-step explanation:

Slope of a line is given by

[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]

Answer:

0.24

Step-by-step explanation:

First, you would do 7.2 x 10^-4 which equals 0.00072

Next, 3x10^-3 would equal 0.003

Then , you would divide 0.00072/0.003 = 0.24

Lines k and e are parallel, then the measure of angles are,

∠ABC = 19° and ∠ BCD = 19°

∠ABC = ∠ BCD = 19°

Based on the given conditions,

Lines k and e are parallel

The measure of angle ABC is = 19 degrees

We can see the Image,

∠ABC and ∠ BCD are equal,

Because k and e are parallel

So,

We can write,

∠ABC =  ∠ BCD

Then Given condition is,

Angle ABC is 19 degrees

We can write,

∠ABC = 19°

So, ∠ABC =  ∠ BCD

Then,

∠ BCD = 19°

Therefore,

Lines k and e are parallel, then the ∠ABC = 19° and ∠ BCD = 19°

∠ABC = ∠ BCD = 19°

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Answer:

A total of 252 pages

Step-by-step explanation:

In other words, 120 pages of a book were read yesterday and 132 pages of a book were read today. There are still 85 pages left to read in order to finish the book.

This word problem may seem tricky because it throws in the “85 pages left to read”, but you don’t have to pay attention to that because all the actual question is asking is for you to add the number of pages you already read.

To figure out how many pages were read in total, you must add.

So, 120 + 132 = 252

To do this addition problem mentally:

1. Add the 100s place, so 100 + 100 = 200

2. Add the 10s place, so 20 + 30 = 50

3. Add the 1s place, so 0 + 2 = 2

4. Add up all the sums that you got, so 200 + 50 + 2 = 252

You read 120 pages yesterday and 132 pages today. The values are correct.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

Let x be the number of pages that you read yesterday, and let y be the number of pages that you read today.

From the problem, we know that:

x + y = 120 + 132 (the total number of pages you read over the two days)

x + y + 85 = total number of pages in the book

We can simplify the second equation by combining like terms:

x + y + 85 = total number of pages in the book

x + y = total number of pages in the book - 85

We can substitute the first equation into the second equation to eliminate x + y:

120 + 132 = total number of pages in the book - 85

252 = total number of pages in the book - 85

total number of pages in the book = 252 + 85 = 337

Now we can substitute this value for the total number of pages in the book into the first equation to solve for x and y:

x + y = 120 + 132

x + y = 252

We can solve for one variable in terms of the other by subtracting y from both sides:

x = 252 - y

Now we can substitute this expression for x into the equation x + y = 252 and solve for y:

252 - y + y = 252

y = 132

So you read 120 pages yesterday and 132 pages today.

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The required inequality would be w > 593 which represents the numbers that beat the school record, where w is the number of rolls of wrapping paper sold.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been that 593 rolls of wrapping paper set the record for the most rolls ever sold at a school fundraiser.

Let w be the number of rolls of wrapping paper sold.

As per the given condition, the required inequality would be as :

⇒ w > 593

Therefore, the required inequality would be w > 593 which represents the numbers that beat the school record.

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Answer:

D

Step-by-step explanation:

-6 times 3 is obviously -18 and if you type in -6 times -2/3 on a caculator it gives you 4 and its positive because when you times two negatives you get a positive

Answer:x<6

Step-by-step explanation:

Step-by-step explanation:

4+3x<22

3x<22-4

3x<18

3x÷3<18÷3

x<6