Answer:
The answer to your question is letter D
Step-by-step explanation:
Formula
m∠E = 
Data
m∠E = 48°
DGF = 228°
DF = x°
Substitution
48° = 
Solution
2(48) = 228 - x°
96 = 228 - x°
96 - 228 = - x°
- 132 = - x°
x° = 132°
Answer:
1. A 2. C
Step-by-step explanation:
hhgfdfghjkjhgfdgh
Step-by-step explanation:
We have

First, 125 is a perfect cube because

and
x^3 is a perfect cube because

so we can use the difference of cubes identity

Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract

we know that

but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have


So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have


So, you need 10 penny, 4 nickles and 7 dimes
Lets, check it.
According to the question,
total coins = 21
7 + 4 + 10 = 21
21 = 21.........................................true
Now,
their value should equal $1.00 = 100 cents
Penny = 1 cent
nickle = 5 cent
dime = 10 cent,
So,
(10 *1) + (4 * 5) + (7 * 10) = 100
10 + 20 + 70 = 100
100 = 100......................................true
So, you need 10 penny, 4 nickle, and 7 dimes
Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:

In which
is the first term.
In this problem:
- 64 teams were invited, thus
. - After each round, half the teams are eliminated, thus
.
The <u>number of teams after 3 rounds</u> is the 4th term of sequence, as the first is the initial number(0 rounds), thus:



After 3 rounds, 8 teams are left.
A similar problem is given at brainly.com/question/25317689