Hello,
Sorry, i don't know the theorem in English
"Théorème des angles extérieurs :
la mesure en degré d’un angle extérieur est égale à la moitié de la différence des arcs interceptés par ses côtés."
Here
2x+15=1/2(10x+20-80)
==>4x+30=10x-60
==>6x=30+60
==>6x=90
==>x=15 °
4y-y is NOT equivalent to 4.
4 is multiplied by 'y', and then 'y' is subtracted from that equation. Even if y=1, your equation would look like 4x1-1=3.
Hope that made sense:)
Answer:
Step-by-step explanation:
a) Recall the quantifiers
.
Then, we can translate the proposition as follows

b) Recall that an expression of the form
its negation is of the form
which means that it is not true that for all elements the proposition P holds. Equivalently, we have that the negation of an expression of the form
is
which means that there is at least one x such that P doesn't hold. Using this, we get the following
By De Morgan's law, we have that
So, the final statement is

c)
This statement means: There is a movie that for every pair of students, at least one of the students hasn't seen the movie yet.
The first equation, 2x+y-8=0 :)
Take away 57 from the total to make the two numbers equal:
191 - 57 = 134
Divide by 2 to find the smaller number:
134 ÷ 2 = 67
Add 57 back to the number to find the bigger number:
67 + 57 = 124
Answer: The smaller number is 67 and the bigger number is 124