Triangle ABC is shown below.
What is the length of line segment AC?
7
DS
9
2x
3x - 7
O 14
18
B
4x - 10
с
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Triangle ABC Is Shown Below.What Is The Length Of Line Segment AC?7DS92x3x - 7O 1418B4x - 10Mark This

Answers

Answer 1

Answer:

14

Step-by-step explanation:

[tex]angle \: b = angle \: c \: thus \: ab = ac[/tex]

[tex]2x = 3x - 7 \\ 2x - 3x = - 7 \\ - x = - 7 \\ x = 7[/tex]

[tex]ac = 3x - 7 = 14[/tex]


Related Questions

You are responsible for hiring a company to take care of snow removal in the winter time. Company A charges an annual winter fee of $1050 plus $150 for each snow removal job that they complete. Company B charges no annual winter fee, but $200 for each snow removal job that they complete. a) Determine an equation to represent the cost structure of each snow removal company [KNOW-4 marks] b) Solve the linear system of equations that you created in part a) [KNOW-4 marks] c) How can you decide which company would be hired based on your solution in part b) - provide a detailed explanation for full marks. [COMM-3 marks]

Answers

Answer:

1050 + (150)times the amount of jobs they do for you during that winter, for A. 0 + (200)times the amount of jokes they do for you during that winter, for B.

Step-by-step explanation:

Boom I would choose B because it would be cheaper, since we do most of the snow removal ourselves.

please help! :)

Answer question B.

Thank you!​

Answers

Answer:

t f dis say mane ion speak italian

Step-by-step explanation:

ion think anyone can read that

Which angle is coterminal to a 175 degree angle?

Answers

Answer:

Step-by-step explanation:

-185

Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )

Answers

Answer:

The correlation coefficient is approximately -0.9949

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]

The correlation coefficient, r is given as follows;

[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]

From MS Excel, we have;

∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5

∑([tex]x_i - \overline x[/tex])² = 82.5

∑([tex]y_i - \overline y[/tex])² = 296.1

Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949

The correlation coefficient, r ≈ -0.9949

Write the ratio: 3 1/6 to 17/6
as a fraction in lowest terms.

Answers

Answer:  [tex]\frac{19}{6} : \frac{17}{6}[/tex]

Step-by-step explanation:

Let us first represent the ratio.

3[tex]\frac{1}{6} : \frac{17}{6}[/tex]

Now we need to convert 3[tex]\frac{1}{6}[/tex] into a improper fraction.

[tex]\frac{19}{6} : \frac{17}{6}[/tex]

Now it is in its simplest form.

The final answer is  [tex]\frac{19}{6} : \frac{17}{6}[/tex]

solve the problem below

Answers

Answer:  207 degrees

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

Explanation:

Refer to the diagram below.

There's a lot of info given to us that we don't need (and won't use).

The only key piece of info we'll really use is the fact that angle XZY is 27 degrees.

Draw in segments RU and RT to form quadrilateral TRUZ

Focusing solely on this quadrilateral, we see that the angles T and U are 90 degrees each (since the tangents are perpendicular to the radii at the point of tangency). Furthermore, we see that angle Z is 27 while angle R is x

For any quadrilateral, the four angles always add to 360 degrees

T+R+U+Z = 360

90+x+90+27 = 360

x+207 = 360

x = 360-207

x = 153

That means angle R of quadrilateral TRUZ is 153 degrees.

Furthermore, it means angle TRU is 153 degrees.

By extension, it indicates that minor arc TU is 153 degrees.

That makes arc TSU = 360 - (minor arc TU) = 360 - 153 = 207 degrees

By Joining TR and UR we got 2 right angles and a Quadrilateral

now

In a Quadrilateral sum of angles=360°

[tex]\\ \large\sf\longmapsto x+90+90+27=360[/tex]

[tex]\\ \large\sf\longmapsto x+180+27=360[/tex]

[tex]\\ \large\sf\longmapsto x+207=360[/tex]

[tex]\\ \large\sf\longmapsto x=360-207[/tex]

[tex]\\ \large\sf\longmapsto x=153°[/tex]

<TSU =360-153=207°

Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?​

Answers

2 occurred 3times

[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]

[tex]\\ \sf\longmapsto |S|=18[/tex]

Now

[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]

[tex]\\ \sf\longmapsto |E|=3[/tex]

we know

[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]

[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]

[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]

Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.

Answers

Answer:

The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4).  Just connect the dots to make the triangle.

Let me know if anything did not make sense.  

Step-by-step explanation:

Reflect just means how far away is each point to the line of reflection?  then ake a new point the sae distance, but in the opposite direction.  You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.

So the three points are A:(3,1), B:(5,1) and C:(3,4)

Now use a horizontal line to measure how far A, B and C are from x=2.

A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left.  so (3,1) becomes (1,1)  The y value does not change since you are only using the horizontal direction for reflection.  B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)

Now the second reflection is the exact same process, but witht he new points reflected across x = -3.  So the new points are (-7,1) (-5,1) and (-7,4).

Please help me factorise these and expand these brackets

Answers

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 46 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 210 feet

Answers

Answer:

On the graphing calculator, use the function normCdf, where

lower bound = -9999upper bound = 210mean = 250standard deviation = 46

It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%

How would you describe the difference between the graphs of f(x)=2/3 x^3 and g(x)=2/3(-x)^3

Answers

The first equation or first graph with that equation has a positive slope and the other one has a negative slope

Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
6.89 + t = 8.00
6.89 - t = 8.00
6.89t = 8.00
6.89 = 8.00 Divided by t

Answers

Answer:

not sure if the answer is obvious but I'd say $6.89 + t = $8.00

Step-by-step explanation:

so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart

after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this

$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip

now continue checking your answer next is , $6.89 - t = $8.00

which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11

hopefully that help maybe i can get brainlist?!

Answer:

6.89 + t = 8.00

Step-by-step explanation:

it's A

Edge 2021

I NEED HELP WITH THIS QUESTION ASAP ITS REALLY REALLY URGENT!!!!


Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.

Answers

Step-by-step explanation:

I can give you a formula SOH-Sinø=Opposite\Hypotenuse

CAH-Cos=Adjacent\Hypotenuse

TOA-Tan=Opposite\Adjacent

Name the quadrant or axis where the point (4.-6) is located.​

Answers

Answer:

Step-by-step explanation:

(4, -6) is in quadrant IV , (quadrant 4)

2 cos(3x+40°)-1=0
Thanks for your question

Answers

Step-by-step explanation:

gjfjdjjfu from Florida for Christmas and technology center and technology and technology

write a linear equation in standard form for the line that goes through(2.-3) and (4 -2)

Answers

Answer:

y =1/2x -4

Step-by-step explanation:

x1 y1  x2 y2

2 -3  4 -2

   

(Y2-Y1) (-2)-(-3)=   1  ΔY 1

(X2-X1) (4)-(2)=    2  ΔX 2

   

slope=   1/2    

B= -4          

   

Y =0.5X -4    

bral
Explain how to use a graph of the function f(x) to
find (3).

Answers

Finding the value of f(3) just means locating 3 on the x-axis and going up or down from that point until you hit the graph f(x). Whatever the y-value of that point is, is the value of f(3). I hope this makes sense.

Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}

Answers

Answer:

{2,4,5,6,8,10,15,20}

Answer:

{ 2,4,5,6,8,10,15,20}

Step-by-step explanation:

D ∪ E

This means the union of the two sets or what is in both circles with no duplicates

{ 2,4,5,6,8,10,15,20}

Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5

Answers

Answer:

its c

Step-by-step explanation:

i did it on ed

Answer:

Heres the answer!

Step-by-step explanation:

In this figure, a line through points X and Y will _____

Answers

Answer:

D.

Step-by-step explanation:

The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.

Can someone help me please

Answers

Answer:

=2⁵it's option B 2⁵(B) 2⁵ is the right option

Solve for x:
( x - 6 ) ^ 2 = 7

Answers

Answer: x= 6 +/- root of 7

Step-by-step explanation:

1. Expand the left hand side: e.g, 3^2 = 3×3 =9

(x-6)(x-6) = 7

2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:

x(x-6) - 6(x-6) =7

x^2 - 6x -6x +36-7=0

Simplify by adding like terms

x^2 -12x +29=0

3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a

Then SUBSTITUTE where:

a=1

b= -12

c=29

Therefore, x should be 6+ root of 7 OR 6- root of 7

Answer:

uhhhh okay thank you for removing my answer

Step-by-step explanation:

Please i really need it rn pls

Answers

The 3rd option is correct

C is the correct answer .

Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers? 3.14 and pi 3.33 and 1/3 e squared and square root of 5 square root of 64 over 2 and square root of 16

Answers

Answer:

So, we need to find irrational numbers between the given pairs.

Remember that the sum between an irrational number and an rational number is irrational.

For example, for the first case, we want a irrational number between:

3.14 and pi:

pi = 3.14159265.... is irrational

pi - 0.0001 = 3.14159265... - 0.0001 = 3.14149265...

So this number:

3.14149265...

is an irrational number larger than 3.14 and smaller than pi.

Second cacse:

3.33 and 1/3

(here the range would be actually:

1/3 = 0.33 and 3.33

So we want an irrational number larger tan 0.33 and smaller than 3.33

here we can just use pi = 3.141592...

third case:

e^2 and √5

Firs let's write these numbers so we can see how they look.

e^2  =7.389...

√5 = 2.236

So we want a number larger than 2.236... and smaller than 7.389...

Again, here we can use pi = 3.141592...

2.236... < 3.141592... < 7.389...

final case:

√(64/2) and √16

we have:

√(64/2) = 5.65

√16 = 4

So we want an irrational number larger than 4 and smaller than 5.65

Again, let's use our beloved number pi.

we have that:

pi + 1  is an irrational number:

pi + 1 = 3.14159265... + 1.0 = 4.14159265....

This number, 4.14159265..., is irrational, is larger than 4 and is smaller than 5.65, so we found the irrational number between the given pair of numbers.

Answer:

3.33 and 1/3

Step-by-step explanation:

Hellllpppppp please?????

Answers

Answer:

∠ 1 = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x - 10 is an exterior angle of the triangle, then

5x - 10 = 3x + 40 ( subtract 3x from both sides )

2x - 10 = 40 ( add 10 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

The sum of the 3 angles in a triangle = 180° , so

∠ 1 + 40 + 3x = 180°

∠ 1 + 40° + 3(25) = 180°

∠ 1 + 40° + 75° = 180°

∠ 1 + 115° = 180° ( subtract 115° from both sides )

∠ 1 = 65°

Write the quadratic equation whose roots are −2 and −5, and whose leading coefficient is 4.


URGENT PLS

Answers

Answer:

Step-by-step explanation:

quadratic equation is 4(x+2)(x+5)=0

4(x²+5x+2x+10)=0

4x²+28x+40=0

Answer:

f(x) = 4(x+2)(x+5)

Step-by-step explanation:

The quadratic function is

f(x) = a(x-b1)(x-b2)  where a is a coefficient and b1 and b2 are the zeros

f(x) = a(x --2)(x--5)

f(x) = a(x+2)(x+5)

The leading coefficient is a and we know a =4

f(x) = 4(x+2)(x+5)

Using the graph, determine the equation of the axis of symmetry.​

Answers

Answer:

x = 6

Step-by-step explanation:

The axis of symmetry passes through the vertex of the graph

It is a vertical line with equation

x = c ( c is the x- coordinate of the vertex )

vertex = (6, 1 ) with x- coordinate 6 , then

equation of axis of symmetry is x = 6


1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?

Answers

Answer:

The common difference of the sequence 5,8,11,14 is 3.

Answer:

the answer is 3

Step-by-step explanation:

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.

the base of a right prism is an equilateral triangle each of whose sides measures 4cm. The altitude of the prism measures 5cm. Find the volume of the prism

Answers

Volume = (√3/4)a^2 × h

= (√3/4)4^2×5

=(√3/4)16×5

=√3×4×5

=20√3

Ans Volume is 20√3cm^2

Answered by GauthMath if you like please click thanks and comment thanks

EXPLAIN:
Answer the following questions using 125 words or more:

Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?

Answers

Answer:

Step-by-step explanation:

The enlargement of a comic will be very similar to the original. Everything is larger but in the same proportion. The difference is if the original is enlarged so much that the individual pixel in the original comic becomes visible; causing the enlargement to be "pixelated."

If a comic is drawn using a grid, that may reduce pixelation because you can line up things with the grid.

If the comic's size is reduced, then again it will look similar but everything is smaller and in the same proportion. There will not be any pixelation effect.

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