Answer:
A
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
Call the inside angle D
A+ B + D = 180 sum of the angles of a triangle is 180
C+D = 180 since the form a straight line
Solving for D
D = 180-C
Substitute this into the first equation
A+ B + 180-C = 180
Subtract 180 from each side
A+ B + -C =0
Add C to each side
A + B = C
This proves the theorem
Answer:
(x − 5) (x + 4)
Step-by-step explanation:
x² − x − 20
Factor using AC method:
1 × -20 = -20
Factors of -20 that add up to -1: -5 and 4
Divide by 1 and reduce: -5/1 and 4/1
(x − 5) (x + 4)
Answer:
1.1275
Step-by-step explanation:
Grams = Milligrams divided by 1,000
1,127.5 divided by 1,000 = 1.1275
Answer:
If a and b are two events such that:
b⊂a
Then it is obvious that p(b)≤p(a)
where p denotes the probability of an event.
<em>" Because as one event is contained in the other that means it has possibility to contain more favourable outcomes than the other while the probability of both the events is calculated by taking the total number of outcomes to be equal "</em>
Let us consider an <u>example</u> as:
We roll a die;
so the total outcomes are: {1,2,3,4,5,6}.
Now let b denotes the event that the number is an even number less than 5.
Number of favourable outcomes( {2,4} )=2
p(b)= 2/6
let a denotes that the number is less than 5.
Then Number of favourable outcomes( {1,2,3,4} )=4
p(a)=4/6
clearly b⊂a
also we could see that p(b)<p(a)
1. 4x=64
x=26
2. 9x=20
x=9/20
3. 8+5x<70
5x<62
x<12.4
4. 2+x=50
x=52
5. n+5-5<15
n<15
6. x-10=30
x=40
7. x+5=13
x=8
8. a+8=20
a=12
9. x·3=27
x=9
10. x²=2+6
x²=8
x=√8
x=-√8
