Is this like 3 separate questions, or is it like
one all together with one answer?
Answer:
Step-by-step explanation:
3x + 7 + 9x - 43 = 180
12x = 216
x = 18
m∠4 = 3(18) + 7 = 61°
m∠5 = 9(18) − 43 = 119°
Answer:
Step-by-step explanation:
I am assuming that you are asking what is [x] - 5 if f(86).
When you have this kind of question, what you do is to substitute the variable inside the parenthesis, so like what is says, f(x). If the question replaces the variable x with 86, that means you input the number into the equation.
So [x] - 5, if f(86).
Substitute:
86 - 5
If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
Find out more on probability at brainly.com/question/8994028
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