PLEASE HELP VERY LIMITED ON TIME!!!

50 POINTS!!!! Find the value of x. 7 10 14 17

mote1985 [20]

Answer:

7

Step-by-step explanation:

The segment perpendicular to the chord bisects it. The hash marks indicate that both chords are the same length, so their distance from the center is the same. x = 7

8 0

3 years ago

Twenty different books are to be put on five book shelves, each of which holds at least twenty books.

olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0

3 years ago

Evaluate. [42 ÷ (2 + 3 • 2)] + [4 • (36 – 52)] I really need help!!!

juin [17]

Ok so first we do 2 + 3 = 5 * 2 = 10 / by 42 = 4.2

other side 36 - 52 = 16 * 4 = 64 now add 4.2 + 64 = 68.2

8 0

3 years ago

How can one fourth x − 3 = one half x + 8 be set up as a system of equations?

Ganezh [65]

1/4x-3=1/2x+8
Then x=20.

5 0

3 years ago

Question 11 of 11 -

alex41 [277]

Answer:

AA similarity

Step-by-step explanation:

Your question is not well presented.

See attachment

Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

6 0

3 years ago