2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Provided in the question, total number of people that can be accommodated in the theatre are 471.

Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.

[tex]1) \: p + 254 < 471[/tex]

Or, they can be equal to the number of people.

[tex]2) \: p + 254 = 471[/tex]

Combining both the inequations, We get

[tex] \boxed{ p + 254 \leqslant 471}[/tex]

So, the correct option is Option D

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Answer:

27 kg

Step-by-step explanation:

Step 1:

21 : 210 = x : 270

Step 2:

210x = 5,670

Answer:

x = 27

Hope This Helps :)

Answer:

(-1, -3/2)

Step-by-step explanation:

Answer:

rational number

Step-by-step explanation:

A whole number would be just 8. Nothing behind it.

Answer:

137.814 hours

Step-by-step explanation:

We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group

123.6 hours is the time and 1.15 is the multiplier

123.6x1.115=137.814 hours

Answer:

10.44 units (nearest hundredth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]

Distance between F and G

[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]

Answer:

1000m = 1 km

:. 6000m=6000/1000 =6km ans

hope it helps

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Answer:

p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)

Step-by-step explanation:

Answer:

The intersection is B

Step-by-step explanation:

It is B because every line meets up at the same spot which is B.

Please mark branliest if this helped you!

Answer:

angle AOC=85

also

angle AOC = angle AOB + Angle BOC

85= 2x+10+4x-15

or, 6x= 90

x=15

BOC=2x+10= 2*15+10=40

angle AOB = 4x-15=4*15-10=5=45

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

Answer:

The answer is

Step-by-step explanation:

(3x + 2)⁴

Using the Pascal's triangle

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

Hope this helps you

Answer:

The correct answer to this problem is x = 4.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information.  We know that Point E lies along the segment DF, so we can write:

DE + EF = DF

Now, we can substitute the values given into our equation.

(3x-1) + (13) = 6x

The next step is to eliminate the parentheses and combine like terms on the left side of the equation.

3x - 1 + 13 = 6x

3x + 12 = 6x

Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.

12 = 3x

Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.

4 = x

Therefore, the correct answer is x = 4.

Hope this helps!

Answers:

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

Explanations:

The number of miles is 7 1/2 miles option (A) is correct if Tyler rode his bike 43 1/8 miles in 5 3/4 hours

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Tyler rode his bike 43 1/8 miles in 5 3/4 hours.

Let d is the number of miles Tyler ride his bike per hour

43 1/8 miles in 5 3/4 hours

345/8 miles in 23/4 hours

d miles in 1 hour

345/8 = 23d/4

345/2 = 23d

d = 345/46

d = 322/46 + 23/46

d = 7 1/2 miles

Thus, the number of miles is 7 1/2 miles option (A) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

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Solution:

g(-7) = a + 2

g(-7) = -7 + 2

g(-7) = -5

Best of Luck!

g(a) = a + 2

What's the answer of the equation when a = -7.

By putting the value, we get

g(a) = a + 2

g(-7) = -7 + 2

g(-7) = -5

Answer:

Range: [1, 5]

Step-by-step explanation:

The range of a graph is all the y-values that are outputted by x-value inputs.

We see that our range spans from 1 to 5, and since they are closed dots, they are included in our range. Therefore, our range is [1, 5].

Question is based upon our General knowledge in the field of IT and programming languages[tex].[/tex]

Let's see the choices:

1) It is true that Bill Gates founded teh Microsoft, but Guido Von Rossum is the founder of python. So, this is incorrect option.

2) Bjarne Stroustrup is the creater of C++ programming language, and also published the Annotated C++ reference manual. So, this is correct✓.

3) Paul Allen was the one who co-founded the Microsoft cooperation along with Bill Gates. So, this is also incorrect.

4) John McCathy invented or founded LISP, which came after FORTAN, So he isn't the founder of FORTAN. So, this is also Incorrect.

So, correct option is Option B

#CarryOnLearning

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Answer:

8 months

Step-by-step explanation:

Answer:

A, B, and D

Step-by-step explanation:

A would be a correct answer since the book was 94 pages shorter than expected, so it was -94 pages of what was expected.

B would be a correct answer since Andrew no longer has that $94. His account would show a transaction of -$94.

C would not be a correct answer since the temperature was a positive number. For it to have been a correct answer, the temperature would've had to have been -94.

D would be a correct answer since Jennifer no longer has 94 apples. She now has a value of -94 apples compared to the value she had before she started selling them.

Hope this helps!

Answer:

true

Step-by-step explanation:

The given statement AB+BC=AC, then AB=BC​ is false for the line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

If AC is the line segment and B is in between AC  somewhere then the given statement AB+BC=AC, then AB=BC​ is not necessarily true.

As the two diagrams below;

Diagram 01) →

Here B is the midpoint of  AC so AB = BC

Diagram 02) →

Here B is not the midpoint of AC so AB ≠ BC

Hence "The given statement AB+BC=AC, then AB=BC​ is false for the line segment".

For more about line segment,

https://brainly.com/question/25727583

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Answer:

The coordinates of point B is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Let the coordinates of B be ( x , y)

From the question the midpoint is ( 0 , 4) and A is (-7 , 5)

So we have

[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]

Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates

That's we equate them

So we have

[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]

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

So we have

x = 7 , y = 3

So the coordinates of point B is

Hope this helps you

Answer:

7,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]

2.

[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]

3.

[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]

4.

[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]

Answer:  The length of one side is 9m.

Step-by-step explanation:

If area is 81 square meters, that means A = 81 m^2.

Since A = s^2, we can substitute s^2 for A.  Then

(s^2) = 81 m^2

Take the square root of both sides to solve for s:

(s^2)^(1/2) = (81 m^2)^(1/2)

s = 9 m

Answer:

A 0.6

Step-by-step explanation:

The measure of arc EF = 146 degrees because its central angle = 146 degrees.

Answer:

I believe 1 4/10 further