All categories

3 years ago

Help................

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

Answer:

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is equal to 180˚

x+100=180

x=180-100=80

You might be interested in

Jashawn wants to make 5 airplanes. He needs 18 centimeters of wood for each propeller. How many centimeters of wood will he use.

Scilla [17]

He will use 90 centimeters of wood

6 0

3 years ago

Please solve my difficult question fast

kicyunya [14]

The 3 angles form the straight line AB. A straight line equals 180 degrees.

The 3 angles when added together need to equal 180:

2x + 65 + (x + 65) = 180

Simplify by combining like terms:

3x + 130 = 180

Subtract 130 from both sides

3x = 50

Divide both sides by 3

X = 50/3

X = 16 2/3 (16.66667 as a repeating decimal)

Now you have x if you need to solve all the angles replace x with its value and sole:

2x = 2(16 2/3) = 33 1/3

X + 65 = 16 2/3 + 65 = 81 2/3

7 0

2 years ago

Read 2 more answers

A group of n people enter an elevator in a building with k floors. Each person independently selects a floor uniformly at random

____ [38]

Answer:

Hence the person stop at floor by at least one person will be

E(X)=(summation from K=1 to k)[1-{(k-1)/k}^n]

Step-by-step explanation:

Given:

There are n peoples and k floors in a building.

Selects floor with 1/k probability .

To find :

Elevator stop at each floor by at least one person.

Solution:

Now

let K= number of floor at which at least one person will be stopping.

For getting E(X)

consider a variable Ak =1 if a least one person get of the elevator

and values for k=1,2,3.....k

K=(summation From k=1 to k)Ak

E(K)=((summation From k=1 to k) E[Ak]

=(summation From k=1 to k)[ $1-{(k-1/k)^n$

Hence the person stop at floor by at least one person will be

E(K)=(summation from K=1 to k)[1-{(k-1)/k}^n]

4 0

3 years ago

The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di

Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d, a, a + d

a - d + a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

7 0

2 years ago

Help please I really need help and thank you :))))

77julia77 [94]

Answer:

14) x = 30°

15) x = 50°

Step-by-step explanation:

14) 60 + x = 90

x = 90 - 60

x = 30°

15) 130 + x = 180

x = 180 - 130

x = 50°

Hope this helps

3 0

2 years ago

Read 2 more answers