Using Postulates and/or Theorems learned in Unit 1, determine whether ABC~AXY.
Show all your work and explain why the triangles are similar or why they are not.

Answer:

  7.8 cm

Step-by-step explanation:

The relevant formula is ...

  A = 1/2aP . . . . where a is the apothem, and P is the perimeter.

For a regular 12-gon the perimeter is 12 times the side length, so we have ...

  P = 12s = 12(4.2 cm) = 50.4 cm

Then the apothem is found from ...

  197 cm² = (1/2)a·(50.4 cm)

  a = 197/25.2 cm ≈ 7.81 cm

The apothem is about 7.8 cm.

__

Additional comment

A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...

  A = ns²/(4·tan(180°/n))

Similarly, the apothem will be ...

  a = s/(2·tan(180°/n))

Answer:

First you need to make 3 1/2 into a improper fraction so you multiply 3 x 2 and then add 1 which is 7/2. Next you need to divide it by 5/8. So to divide fraction you have to do K.C.F. (Keep, change, flip). So you keep the 7/2 change the division symbol to a multiplication symbol. and then flip the 5/8 into 8/5. So the whole problem would be 7/2 x 8/5. next you just multiply.

7 x 8 = 56

2 x 5 = 10

next you just need to simplify into the smallest fraction and you can simplify both by 2. So 56 / 2 = 28 and 10 / 2 = 5. That's how the solution is 28/5.

Also, the value of the expression 5 x 8/5 is 25/8.

Answer:

make 3 1/2 into a improper fraction by multiplying the 3 and the 2 in the denominator together and then add 1 in the numerator to get 7 then make it 7/2 since the 2 was the denominator in the mixed fraction. Then keep the 7/2 the same turn the division symbol to a multiplication symbol then turn the 5/8 into 8/5 by flipping it then multiply. 7×8= 56 2×5=10 now you have 56/10 so you need to simplify. 2 is common between 56 and 10 so you multiply 56/10 and 2 together. 56÷2= 28 and 10÷2= 5 so now it is 28/5.

Answer:

D

Step-by-step explanation:

2 1/8 + 1 1/2 + 1 3/4 = 5 3/8

Answer:

d

Step-by-step explanation:

got it right on the web.

We know

At centroid the medians of all triangles bisect eachother at 2:1 ratio

So

[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]

[tex]\\ \tt\hookrightarrow VT=8[/tex]

[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]

[tex]\\ \tt\hookrightarrow VS=9[/tex]

[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU=13[/tex]

Answer:

the answer is p = 15

Step-by-step explanation:

first you set the equation to 2p + 9 = 3p - 6

then solve out the equation by adding 6 to both sides

the equation will now look like this, 2p + 15 = 3p

now you subtract 2p from both sides

the equation now looks like 15 = p

I always flip my equations so I can read it better,

p = 15

Hope this helps! :)

Answer:

-2/15

Step-by-step explanation:

because you first do 1/4 times 8/9 = 8/36

then you do 8/36 times -3/5 which then after you simplify you get -2/15

please mark brainliest i need 2 more!

Answer:

[tex] - \frac{2}{15} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} \times \frac{8}{9} \times \frac{ - 3}{5} [/tex]

[tex] \frac{1}{1} \times \frac{2}{3} \times - \frac{1}{5} [/tex]

[tex] - \frac{2}{15}[/tex]

Step-by-step explanation:

the car distance to the intersection will be

30t (30 miles for every hour).

the truck distance to the intersection will be

40t (40 miles for every hour).

the distance between the car and the truck will always be the Hypotenuse of a right-angled triangle with the legs being the actual distances from the starting intersection.

so, we use Pythagoras :

d² = (30t)² + (40t)² = 900t² + 1600t² = 2500t²

d = sqrt(2500t²) = 50t

so, their distance will increase 50 miles every hour.

[tex]\huge\fbox{Answer ☘}[/tex]

Mrs. Chaukes' income for 1 month = ₹ 32,040

Mrs. Chaukes' income for 12 months or 1 year = [tex] \bold\blue{32040 \times 12 = ₹ 3,84,480}[/tex]

hope helpful ~

Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

The given parameters are:

Hourly rate = R180

Work time = 8 hours a day

Monthly income = R32040

There are 12 months in a year.

So, the annual income is:

Annual = 32040 * 12

This gives

Annual = 384480

Hence, Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

Read more about rates at:

https://brainly.com/question/2375289

Answer:

5:45

Step-by-step explanation:

because you multiply 5 by 9

Please Mark brainliest i need 3 more

Answer:

d have a great guys :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of triangle:

Area of rectangle:

The recipe calls for 1/3 cup of milk.

Half of the recipe requires:

here is your answer...

2x^2-3x-5

Answer:

50°

Step-by-step explanation:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Answer:

v = 176

Step-by-step explanation:

Since a fraction is essentially the same thing as dividing one number by another, we can multiply 44 by 4, the denominator of the fraction we are finding the numerator for, and get 176. This fraction is already in negative form, so we don't need to do anything else.

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

Answer:

A

Step-by-step explanation:

Because it said 100 sea shells and 2 fewer and each bucket.

Bucket B contains 130 which is way more.

Bucket c contains only 80

Bucket D contains 110 so it has to be A.

Have a great day!  :)

Answer:

  n -8.2 = 2.3(t -1)

Step-by-step explanation:

You are given definitions for the variables t and n, along with two data points:

  (t, n) = (1, 8.2) and (5, 17.4)

The slope of the line between these points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3

The equation can be written in point-slope form as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  n -8.2 = 2.3(t -1) . . . . a linear model describing the data

______

Additional comment

If we eliminate the parentheses and add 8.2, we get the point-slope equation ...

  n = 2.3t +5.9

a = 168⁰

a + x = 180⁰

168⁰ + x = 180⁰

x = 180⁰ - 168⁰

x = 12⁰

Step-by-step explanation:

since the total number of players is 44, the Universal set will also be 44.

let C be the set for Comedy

let T be the set for Tragedy

let H be the set for Histories

ξ = { 44 }

C = { 11 }

T = { 17 }

H = { 16 }

probability T = (17/44)

odds of selecting T = probability not T

= 1 - probability T

= 1 - ( 17/44)

= 27/44

you need to give the answer as a ratio of odds of selecting T against chances of selecting T;

if out of 44 players, the chances of not selecting T is 27 and the chances of selecting T is 17, then:

odds against selecting random is, 27: 17

that's the answer. hope this helps you!

-s.

Answer:

8.5

Step-by-step explanation:

two cases:

1) 2x + 10 = 2x - 24, 10 = -24, impossible!

2) 2x + 10 = -(2x - 24)

2x + 10 = -2x - 24

4x = 34

x = 34/4 = 17/2 = 8.5

Answer: C

Step-by-step explanation:

Assuming this is a rectangle, P=2l+2w.

Substituting in the dimensions,

P=2(39.5+50)=179

Answer:

8.0*10^-4 in standard form or scientific notation.

Answer:

Step-by-step explanation:

y=-5/2x-8

Answer:

46.74 minutes

Answer:

JL → 13

Explanation:

JL → JK + KL

JL → 4 + 9

JL → 13

JL be x

JL=13

Answer:

Step-by-step explanation:

It is assumed you need to find the area of the figure.

The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.

The area of the figure:

x = ~29 ft

h = ~34 ft

(explanation in image)

Answer:3/2=6

Step-by-step explanation: