All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?​

Answers

Answer 1

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

All Sides Of ABC Are Tangent To Circle P.What Is The Perimeter Of Triangle ABC?

Related Questions

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.

Answers

Answer: 0.09

Step-by-step explanation:

;)

The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is attached

As we can see in the image , ABC is a right angle triangle

Thus as per Pythagorean theorem, to find line AB

AB2 = 322 + 242

AB2 = 1024 + 576

AB2 = 1600

Taking square root of both the sides, we get –  

AB = √1600

AB = 40

The mid point of AB = AB/2 = 40/2 = 20

The polygons are similar. Find the value of x

Answers

X/16=18/12 cross multiplication

12x=288
X= 24

I need help on this ASAP

Answers

75cm²

Explanation:

10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.

Answer:

75cm²

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.

To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.

Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.

A = √[s(s-a)(s-b)(s-c)]

= √[8(21. 5-10)(21.5 -15)(21. 5-18)]

= √[21.5 × 11.5 × 6.5 × 3.5]

= √(5625)

≈ 7.5

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Answers

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

A number "X" greater than 8

Answers

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

I need help finding the slope

Answers

Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

Hello! Please help me. Huhu

Answers

The median is 162 centimeters.

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Answers

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

Which value is included in the solution set for the inequality graphed on the number line?
0
1
2
3
4
3

Answers

Answer:

2

Step-by-step explanation:

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

what is the least common denominator between 3/4 4/5 and 2/3

Answers

Answer:

The Least Common Denominator of 3/4, 4/5 and 2/3

Would be,

4 × 5 × 3 = 60

Hence,

60 is the L.C.D of 3/4, 4/5 and 2/3

PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

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

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

y = -3x + 4

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

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12

Answers

Answer:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5


PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.

Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping

the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping

Answers

Answer:

1st question:  C

2nd question: Increasing (the slope)

3rd question:  don't understand what's being asked

Step-by-step explanation:

Answer:

the answers are

Step-bythe answers are -step explanation:

1.C

2.a

3.B

Please Help ASAP!!!!!!!!

Answers

Your slope=-2
Which is 2/1 (rise/run)
Your y-int=-1 (which means your graph should touch the -1 on the y-int

So your answer would be A

can someone please help me with this question? (no links!!!)

Answers

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

170% of what number is 40?
Provide and exact fraction answer

Answers

Answer: 23.53

Step-by-step explanation:

We have, 170% × x = 40

or,

170

100

× x = 40

Multiplying both sides by 100 and dividing both sides by 170,

we have x = 40 ×

100

170

x = 23.53

If you are using a calculator, simply enter 40×100÷170, which will give you the answer.

What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?

Answers

Answer:

6%.

Step-by-step explanation:

Help me with number two please

Answers

Number two is a type of question of what’s your opinion, but if you really want an answer from someone on the internet, take this:
I would expect the results to not be the same because not everyone has the same type of movie preference.

A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?

Answers

Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

Which process will create a figure that is congruent to the figure shown?

Answers

Answer:

A translation of 4 units up, followed by a reflection over the y-axis, followed by a rotation of 90° counterclockwise around the point shown on the figure.

Step-by-step explanation:

Hope it helps!

Answer:

Top right answer

Step-by-step explanation:

htam (:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

m<A= 14 and m<C= 119

Step-by-step explanation:

Hope this helps, have a nice day :)

Answer:

<A= 14 and <C= 119

Step-by-step explanation:

Factor the expression step by step Someone help me pls

Answers

Answer:

1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3

2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)

3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)

4. Factor out the greatest common factor: (x+1)(2x-3)

Answer: (x+1)(2x-3)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

The degree of the problem

Answers

Answer: A. 5

Step-by-step explanation:

IM SO TIRED CAN SUM1 HELP PLS.

Answers

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

help me pls its hard for me atleast

Answers

Answer:

the awnser is 12 because you have to divide

Step-by-step explanation:

Answer:

([tex]12[/tex]) pastries in one hour.

Step-by-step explanation:

This problem involved the concept of rates. A rate is a way of expressing the amount of work done compared to the amount of time it took, to find the pace at which one does the work. To express a rate, the general format used is:      ([tex]work:time[/tex])

Substitute in the given values:

[tex]30:2.5[/tex]

In the problem, one is asked to find how many pastries can be made in one hour. To find this value, divide the rate by (2.5). This will leave (1) on the time side, and the amount of work done on the (work) side.

[tex]30:2.5[/tex]

[tex]12:1[/tex]

([tex]12[/tex]) pastries in one hour.

Which classifications apply to the polygon? Check all that apply.

convex
concave
regular
hexagon
octagon

Answers

It’s concave and hexagon

Answer:

B and D

Step-by-step explanation:

5. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
14
48
50
Your answer

Answers

Answer:

16°

Step-by-step explanation:

Reference angle = [tex] \theta [/tex]

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)

Plug in the values

[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]

[tex] \theta [/tex] = 16.2602047° = 16°

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