3
JK, KL, and IJ are all tangent to o (not drawn to scale). JA = 8, AL = 11, and
CK = 10. Find the perimeter of AJKL.

Answers

Answer 1

Answer:

[tex]P = 58[/tex]

Step-by-step explanation:

The image if the circle and triangle can be found online

Given

[tex]JA = 8[/tex]

[tex]AL = 8[/tex]

[tex]CK = 10[/tex]

Required

The perimeter of JKL

Since the mid-points of the tangents are A, B and C respectively.

[tex]JK = JB + BK[/tex]

Where

[tex]JB = JA = 8[/tex]

[tex]BK = CK = 10[/tex]

So:

[tex]JK =8+10 =18[/tex]

[tex]JL = JA + AL[/tex]

[tex]JL = 8+11 = 19[/tex]

[tex]KL = CL + CK[/tex]

Where

[tex]CL =AL = 11[/tex]

So:

[tex]KL = 11+10 = 21[/tex]

So, the perimeter (P) is:

[tex]P = JK+ KL +JL[/tex]

[tex]P = 18 + 19 + 21[/tex]

[tex]P = 58[/tex]


Related Questions

In a camp, there were 500 solders. 60 more solders joined them. What percent of the earlier (original) number have joined?​

Answers

Answer:

89.2%

Step-by-step explanation:

Original number of soldiers=500

New number of soldiers=500+60=560

% of original number of soldiers=(500/560)x100=89.2%

Which region represents the solution to the given system of inequalities?

{+3y < -3
{ x > 3

Answers

Step-by-step explanation:

the answer is in the above image

use the app DESMOS it helps in drawing graphs like this

plzz helpppp.........​

Answers

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “Cannot be determined” in place of the rule.

Answers

Step-by-step explanation:

∆COT is congruent with ∆NPA

by rule A.S.S (angles, sides, sides)

Answer:

△COT≅△NPA by SSA

Step-by-step explanation:

in circle p, which arc is a major arc?​

Answers

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

What is arc in a circle and what are its classifications?

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

https://brainly.com/question/9288523

A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?

Answers

Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

Một dàn gà có 24 con gà trống và bằng 6 phần 5 số con gà mái. Tỉ số giữa số gà mái và số con gà của đàn.

Answers

Step-by-step explanation:

Số gà mái: 24 : 6 x 5 = 20 (con)

Số gà cả đà: 24 + 20 = 44 (con)

=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11

how to solve (-6y^-3z^-3)(-1/2y^-1z)

Answers

Answer:

        3

__________

  y ^4  z ^2

Step-by-step explanation:

Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)

Answers

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

There are 14 birds sitting on a wire. One-half of the birds are black. How many black birds are sitting on the wire?

Answers

Answer:

7

Step-by-step explanation:

There are 14 birds sitting on the wall

One half of the birds are black

Therefore the number of black birds can be calculated as follows

= 14×1/2

= 14×0.5

= 7

Hence 7 birds are black

1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).

Answers

Answer:

There is significant statistical evidence to suggest there is a difference between the groups

Step-by-step explanation:

The number of adolescents in the sample that were given a pamphlet, n₁ = 10

The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51

s₁² = 16

The number of adolescents in the sample that were given a video, n₂ = 10

The average score of those given a video, [tex]\bar x_2[/tex] = 46

s₂² = 20

The alpha level of the test, α = 0.05

H₀ = No difference

Hₐ = Difference between the groups

The test statistic for the difference in mean is given as follows;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]

Plugging in the values, gives;

[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]

The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18

The critical-t = 2.101

Therefore

Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.

A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).

Which statement is supported by the graphs?

Answers

Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like​

Answers

Answer:

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x = 20 students

Step-by-step explanation:

In a class of 37 students, the number of students who like marshal arts only is

double than the number of students who like athletics only. If 3 students like both

and 4 like none of the games, find out how many students like:

i. Marshal arts

ii. Athletics​

Total students in the class = 37

number of students who like Athletics only = x

number of students who like marshal arts only = 2x

Number of students who like both = 3

Number of students who like none = 4

Total = athletics + marshal art + both + none

37 = x + 2x + 3 + 4

37 = 3x + 7

37 - 7 = 3x

30 = 3x

x = 30/3

x = 10

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x

= 2(10)

= 20 students

Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11

Answers

Answer:

y = 2*x + 5

Step-by-step explanation:

En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.

La tabla es:

x:  -2   -1   0   1   2   3

y:   1    3   5   7   9   11

Esto parece ser una relación linear, las cuales se escriben como:

y = a*x + b

Donde a es la pendiente y b es la ordenada.

Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.

SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:

a = (3 - 1)/(-1 - (-2)) = 2/1 = 2

Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:

a = (5 - 3)/(0 - (-1)) = 2/1 = 2

Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:

y = 2*x + b

Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.

Si usamos el segundo punto, (-1, 3)

esto significa que cuando x = -1, tenemos y = 3

Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:

3 = 2*-1 + b

3 = -2 + b

3 + 2 = b

5 = b

Entonces la ecuación es:

y = 2*x + 5

What is the equation of the line graphed below? Y +1= -3(x-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

distribute and simplify

Need answer ASAP pls it’s important

Answers

Hey buddy I am here to help!

total outcomes r = 36

multiples of 3 = 3,6

total outcomes of multiple fo 3 = 12

12/36 = 1/3

1/3 is the answer

Hope it helps!

Plz mark me brainliest!

What is 700,000+900+60+7 in standard form

Answers

Step-by-step explanation:

here is the answer for your question

The standard form is 700,967

Find mode.
Mathematics ClassX

Answers

Step-by-step explanation:

my answer is in the image and class width is 3

lcu- lower class boundary

Find the measures of all the angles in the rhombus shown below.
31
1
5
2
4
3

Answers

5 is the correct answer for this one

Find the coordinates of the points on the graph of y= 3x - 16

Answers

Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5

Step-by-step explanation:

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36

Answers

Answer:

[tex]y = 36 - \frac{3}{4}x[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]h = 36in[/tex] --- height of rails

The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]

Required

The function

First, we represent the rate (r) as a fraction.

[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases

Simplify

[tex]r = -\frac{3}{4}[/tex]

So, the function is:

[tex]y = h + r * x[/tex]

Where:

[tex]x \to[/tex] distance from top

So, we have:

[tex]y = 36 - \frac{3}{4}x[/tex]

1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:09
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).

A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.

In which step did Fiona make an error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer:

(2x – 3)(5x^2 – 2x + 7)

=103−192+20−21

Hope This Helps!!!

Given that AABC~ ADEF, solve for x.​

Answers

Answer:

D.7

because in similar triangle the corresponding sides are proportional

Step-by-step explanation:

30/5 =42/X

Criss cross and X=(42X5)/30=7

The value of x will be,

⇒ x = 7

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and DEF are similar.

Now, By definition of proportionality we get;

⇒ AB / BC = DE / EF

⇒ 30 / 42 = 5 / x

⇒ 30x = 5 × 42

⇒ 30x = 210

⇒ x = 210 / 30

⇒ x = 7

Thus, The value of x will be,

⇒ x = 7

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Mary went to the shop and bought two patties for $190 each and three Orange juice for $375. If she pays her bill with two $500 notes, what amount does she receive in change?​

Answers

Answer:

$55

Step-by-step explanation:

Spending

3*190 + 375 = 945

Change = cash paid - spending

500 * 2 - 945 = 55

$55

Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?

Answers

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let  

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

Help on this anyone ?

Answers

Answer:

x = 77

Step-by-step explanation:

x and 103° are same- side interior angles and sum to 180° , then

x + 103 = 180 ( subtract 103 from both sides )

x = 77

Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?

Answers

Answer:

Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width

The measure of degrees

Answers

Answer:

yes because I have no idea what I'm doing

Step-by-step explanation:

idek don't use this

PLEASE HELP PLEASE PLEASE PLEASE

Answers

Answer:

45[tex]yd^{2}[/tex]

Step-by-step explanation:

splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.

Answer:

45 yd2

Its a composite shape, so you'll have to "cut" it into basic shapes first.

I've cut it into two rectangles A and B... (see attachment)

Rectangle A on its own would have a l = 5 yd and w = 3 yd

Rectangle B will have l = 15 yd and w = 2yd

Total area = Area of A + Area of B

= (5 × 3) + (15 × 2)

= 15 + 30

=

[tex] {45yd}^{2} [/tex]

Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
Newmarket, N (2,8), Markham, M (7,3) and Vaughan, V (-2, 0). Determine the location of the new
theme park if it is located at the point of intersection of the perpendicular bisectors.

Answers

Answer:  (2, 3)

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

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

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