Pretty confused on finding the missing line segment. Please help.

Pretty Confused On Finding The Missing Line Segment. Please Help.

Answers

Answer 1

Answer:

Option (1). 17

Step-by-step explanation:

Length of a segment having coordinates (x₁, y₁) and (x₂, y₂) is given by the formula,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of points A and C are (4, 3) and (19, 11).

To get the length of segment AC we will substitute the coordinates in the formula,

AC = [tex]\sqrt{(19-4)^2+(11-3)^2}[/tex]

     = [tex]\sqrt{(15)^2+8^2}[/tex]

     = [tex]\sqrt{225+64}[/tex]

     = [tex]\sqrt{289}[/tex]

     = 17

Therefore, length of segment AC = 17 units.

Option (1) will be the answer.


Related Questions

The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?

Answers

Answer:

D 0.6

Step-by-step explanation:

plato/edmentum

Answer: 0.6

Step-by-step explanation:

find the exact length of the third side

Answers

Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

let x be the third side x²+6²= 10²x²= 100-36 x=[tex]\sqrt{64}[/tex] x=8

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.

Answers

Answer: 14 cm

Step-by-step explanation:

let's total length = h

white = 1/4h

remain = h - 1/4h

=3/4h

blue = 1/2 of remaining

=1/2 of 3/4h

=3/8h

remain part black = 3/4h - 3/8h

=3/8h

according to the question

3/8h = 5 1/4 cm

h = 14 cm

length of the pipe is 14 cm

Answer:

14

The length of the pipe is 14.

Solution,

Let the total length be X cm

[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]

Hope this helps..

Good luck on your assignment..

help me solve this please

Answers

Answer:

70°

solution,

[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]

Hope this helps..

Good luck on your assignment

A system of equations is shown on the graph below. How many solutions does this system have?

Answers

Answer:

[tex]\boxed{1 \: \: \mathrm{solution}}[/tex]

Step-by-step explanation:

The point where two lines intersect is the solution to the system of equations.

The two lines intersect at (-1, 2).

x = -1

y = 2

y = 2x + 4

y = -x + 1

Plug y as -x+1 in the first equation.

-x + 1 = 2x + 4

-x - 2x = 4 - 1

-3x = 3

x = -1

Plug x as -1 in the second equation.

y = -(-1) + 1

y = 1 + 1

y = 2

Answer:

Hey there!

Only one solution, because they intersect at only one point.

Hope this helps :)

Which number is greater: 35% or 3.5?

Answers

Answer: 3.5

Step-by-step explanation:

The question i want to know is linked below. Please help :)

Answers

Answer:

Hey there!

To solve this problem, we want to find the LCM (least common multiple) of the two numbers.

The numbers are 25 and 30.

25=5x5

30=2x3x5

LCM is 5x5x2x3, or 150.

Thus, in 150 minutes is when the next bus will leave.

150 mins is equal to 2 hours and 30 mins, or 2.5 hours.

8 AM + 2.5 hrs = 10:30 AM.

Thus, the next time the busses leave together would be at 10:30 AM.

Let me know if this helps :)

Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?

Answers

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

The opposite number of the integer number negative 3 will be 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.

The number is given below.

⇒ - 3

The opposite of the number negative 3 will be given as,

⇒ - (-3)

⇒ 3

The opposite number of the integer number negative 3 will be 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?


A (x + 1)2 + (y + 2)2 = 9

B (x + 1)2 + (y + 2)2 = 25

C (x − 3)2 + (y − 1)2 = 16

D (x − 3)2 + (y − 1)2 = 25

Answers

Answer:

b

Step-by-step explanation:

Answer:

B) (x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.

In January, she used 3/5 of the amount of oil that she used in February.

Fill in the amount of oil that Jackie used in January in the table below.


Month Liters of oil used
january ?

February 2/3

March 1 1/2

Answers

Answer

She used 6/15 litres of oil in January

Explanation

We are given that, in January, she used 3/5 of the amount of oil she used in February.

We are also given that, she used 2/3 litres of oil in February.

Therefore, amount of oil used in January is:

3/5 • 2/3 = 6/15

She used 6/15 litres of oil in January

Answer:

In January

she used 3/5 of what she used in February.

In February she used 2/3 litres of oil.

So it is 3/5 of 2/3 to find what amount she used in January.

3/5 × 2/3 = 6/15

If we simplify 6/15 we find 2/5 as our answer.

So our answer is 2/5 litres.

BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS

Answers

Answer:

first one

Step-by-step explanation:

Tracey bought 10 movies

some cost 13 and the others 16

Let x be the movies that cost 13 and y ones that cost 16

we can state that

x+y = 10

since Tracey both ten

13x+ 16y = 139

since the total price is 139

so the system is :

[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]

Find the volume of the composite figure below

Answers

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

Volume of composite figure = 667+719 = 1386 in³

The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. B. Find the​ P-value. C. Using a significance level of alpha α equals = 0.01 0.01​, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0​?

Answers

Answer:

Step-by-step explanation:

The claim being tested is that p not equals ≠ 0.877

A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.

B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002

We would double this area to include the area in the left tail of z = - 2.94 Thus

p = 0.002 × 2 = 0.004

C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0

The revenue for a company producing widgets is given by y=-25x^2-50x+200, where x is the price in dollars for each widget. The cost for the production is given by y=25x-10. Determine the price that will allow the production of the widgets to break even.

Answers

Answer:

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Tournament scores for 92 golfers are distributed normally. Two
statistics from this tournament are given below.

mean score 74
standard deviation 2.5


What is the approximate percentage of golfers that scored
between 69 and 79?
A. 27%
B. 68%
C. 74%
D. 95%

Answers

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?

Answers

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

how to do this question plz ​

Answers

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

Answer:

Step-by-step explanation:

to find the surface area , you need to find the area of each side(face)

top: 5*10=50

the bottom of the shape: 3*10=30

the front face:10*8=80

the sides are trapezoid shapes with:different dimensions:

side :8,12 and eight of 3 ( the shape has 3 faces the same)

area=((12+8)/2)*3= 30 (30*3 faces or sides)

add the numbers: 50+30+80+(30*3)=250 cm^2

I hope it is right and good luck

Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?

Answers

Subtract 3.52 - 2.44= 1.08 miles

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k

Answers

Answer:

k = -11

Step-by-step explanation:

Let [tex]p(x) = x^3-6x^2+kx+10[/tex]

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 15 , P = 2100 . Work out the speed (to 1 DP) when the power is 2200 watts

Answers

Answer:

The speed of the car engine is 15.4m/s

Step-by-step explanation:

Given

Power = 2100; when Speed = 15

Required

Find Speed when Power = 2200

The question says power is proportional to square of speed;

Mathematically;

[tex]Power\ \alpha \ Speed^2[/tex]

Represent Power with P and Speed with S

[tex]P\ \alpha \ S^2[/tex]

Convert proportion to an equation

[tex]P\ = \ kS^2[/tex]

Where k is proportionality constant

Make k the subject of formula

[tex]\frac{P}{S^2} = k[/tex]

When P = 2100 and S = 15

[tex]\frac{2100}{15^2} = k[/tex]

When P = 2200 and S is unknown

[tex]\frac{2200}{S^2} = k[/tex]

Recall that [tex]\frac{2100}{15^2} = k[/tex]

So;

[tex]\frac{2200}{S^2} = k[/tex] becomes

[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]

Cross Multiply

[tex]S^2 * 2100 = 2200 * 15^2[/tex]

[tex]S^2 * 2100 = 2200 * 225[/tex]

[tex]S^2 * 2100 = 495000[/tex]

Divide both sides by 2100

[tex]S^2 = \frac{495000}{2100}[/tex]

[tex]S^2 =235.714285714[/tex]

Take Square Roots of both sides

[tex]S = \sqrt{235.714285714}[/tex]

[tex]S =15.3529894716[/tex]

[tex]S = 15.4[/tex] (Approximated)

Can someone plz help me Solve this Equation Solve for X

Answers

Answer:

x = 4

Step-by-step explanation:

If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)

=> 6x+36 = 5x + 15 +25

=> x = 40-36

=> x = 4

I hope it's the right answer.

Answer:

x = 4

Step-by-step explanation:

Given 2 secants drawn to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + x) = 5(5 + x + 3), that is

36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )

36 + x = 40 ( subtract 36 from both sides )

x = 4

What is the value of the angle marked with 2?

Answers

Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

Find the area of this triangle..

Answers

Answer:

Step-by-step explanation:

For this problem, we have to use Heron's Formula.

S= (a + b + c)

     over 2

And then  √S( S-a) (S-b) (S-c)

That's the formula, now to plug in the numbers.

S= 12+12+21.2

      over 2

that equals 45.2/ 2= 22.6'

Now we found s, so we can plug in the second step of the formula...

√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )

This equals √ 22.6 (10.6) (10.6) (1.4)

and that equals...

59.624411 = or rounded it up to 60.

59.624411 or round it up to 60

If AC =4.5 what is the measure of AB

Answers

Answer:

f

Step-by-step explanation:

f

Answer:

[tex]\boxed{AB = 9}[/tex]

Step-by-step explanation:

AB = 2(AC) {Because a line segment drawn from a center of a circle bisect the chord opposite to it}

So,

AB = 2(4.5)

AB = 9

Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.​

Answers

Answer:

12 years old

Step-by-step explanation:

Let's call Sydney's age x and Sam's age 2x. We can write:

x + 2x = 36

3x = 36

x = 12 so the answer is 12 years old.

Helppp!!!! please!!!

Answers

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.

Answers

Answer:

L/2

Step-by-step explanation:

If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.

Answer:L/2

Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2

HELPPPP Enter the ratio as a fraction in lowest terms (2 ft to 24 in.)Enter the ratio as a fraction in lowest terms

(27 minutes to 24 minutes) Enter the ratio as a fraction in lowest terms (no decimals).

(8.0 calories to 5.6 calories)


Answers

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Amanda teaches violin lessons for $21.30 per hour. How many hours of lessons must Amanda give to make no less than $894.60?


No less than 42 lessons

No less than 35 lessons

No less than 45 lessons

No less than 33 lessons

Answers

Answer:

No less than 42 lessons

Step-by-step explanation:

To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.

$894.60/$21.30 = 42

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