Answer:
150º and 30º angles.
Step-by-step explanation:
When you have parallel lines that are vut by a transversal line, you get a 2 pairs of 4 angles, this pairs are congruent or suplementary, this means that the sum of their angles is 180º or they are equal. So ig you have that one angle is 150º the other one since is suplementary must be 30º, since 150*30=180, and all of the angles are equal to these two, 150º and 30º angles.
Answer:
Step-by-step explanation:
it is your first choice
-4.4+3.6
1.6x
-0.5x
Answer:A)35choices
B)475,020choices
C)132choices
D)0.000278
E)0.000166
Step-by-step explanation:
Given 7poultry items represented by 7p
10 red meat items=10R
12 vegetarian items=12V
@
A)there are 7combination 3ways of selecting 3out of 7 poultry items
From the formula nCr=n!/(n-r)!r!
7C3=7!/(7-3)!3!=7!/4!×3!=35choices
b)total items available=7p+10R+12V(denotation explained above)=29items
Choosing 6items implies
29C6=29!/(29-6)!×6!
29!/23!×6!=475,020 ways
C)7C2+10C2+12C2
7!/5!2!+10!/8!2!+12!/10!2!
21+45+66=132 choices
D) probability (choosing 2items from each class)=
7C2+10C2+12C2/29C6
Where 29C6 represent total probable.
21+45+66/29!/23!6!
=132/475020=0.000278choices
E)for meats to be in the majority on a 6choices selection impliee that vegetarian items will be
0,1 or2i.e combination of vegetarian and meat will be(0,6)or(1,5)or(2,4) .
Prob(0veg)+prob(1veg item) or prob(2veg items)
12C0+12C1+12C2/29C6
=1+12+66/475,020
=0.000166
There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.
First let's try solving for y since it's easier to start with.
Firstly we have to find an equation for x:
Great, now we can use the substitution method to find the value of y using the first equation:
Now we know that y=1 we can solve the first equation we made:
And the answer is 
Double check:
And that's our final answer! (4,1)
