Write 2.75 as a mixed number and as an improper fraction.<br> Write your answers in simplest form.

A.Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.

Inga [223]

a.

<K = <M = 50 ...Opposite angels are congruent

<K + <L = 180...Consecutive angles are supplementary

50 + <L = 180 so <L = 180 - 50 = 130

<L = <N = 130...Opposite angels are congruent

50 + <N = 180 so <N = 180 - 50 = 130

b.

MN = LK = 7...Opposite sides are congruent

KN = LM = 10...Opposite sides are congruent

4 0

3 years ago

Create a Sample Space diagram and work out the probability - There is a 4 sided dice (numbers 1 to 4) and an 8 sided dice (numbe

tester [92]

Answer:

7 / 16

Step-by-step explanation:

Sample space is attached below :

Theoretical Probability of any event A

P(A) = (number of required outcome / Total number of possible outcomes)

Required outcome = sum greater than 7 = 14

Total number of possible outcomes = 32

P(sum greater than 7) = 14 / 32

P(sum greater than 7) = 7 / 16

3 0

2 years ago

The length of a rectangle is 3 m longer then it’s width the area of the rectangle is 154 m^2 what is the width of the rectangle

Alenkasestr [34]

The width is 11.

You can get this by setting up an equation that says:

x (x - 3) = 154

Then distribute and use the quadratic equation to solve.

7 0

3 years ago

The telephone company offers two billing plans for local calls. Plan 1 charges $36 per month for unlimited calls and Plan 2 char

Katyanochek1 [597]

Answer:

After 460 calls plan 1 is more economical than plan 2

Step-by-step explanation:

Plan 1: 36x + 0y

Plan 2: 13x + 0.05y

36x < 13x + 0.05y

36x - 13x < 0.05y

23x < 0.05y

23/0.05x < y

460x < y

5 0

2 years ago

Thirteen people on a softball team show up for a game.a) How many ways are there to choose 10 players to take the field?b) How m

dangina [55]

Answer:

Total number of people = 13

A:

Number of ways to choose 10 players to take the field = 13C10

= $\frac{13!}{10!3!}$

= 286

B:

This is given as: 13P10

= $\frac{13!}{(13-10)!}$ = $\frac{13!}{3!}$

= 1037836800

C:

This is given as:

(3C1 x 10C9) + (3C2 x 10C8) + (3C3 x 10C7)

Solving this we get the answer as = 285

5 0

3 years ago

Write 2.75 as a mixed number and as an improper fraction. Write your answers in simplest form.