Answer:
x = 
, y = 2
Step-by-step explanation:
using the tangent ratio and the exact value tan45° = 1 , then
tan45° = 
= 
= 1 , then
x =
----------------------------------
using the cosine ratio in the right triangle and the exact value
cos45° = 
, then
cos45° = 
= 
= ( cross- multiply )
y = × 
= 
= 2
Answer: 1/4
Step-by-step explanation: take the odds of the first event (1/2) and the odds of the second event (1/2) and multiply them together
Answer:
x = 61
Step-by-step explanation:
The angle above the line n adjacent to 2x - 6 is (x + 3) alternate angle.
Adjacent angles are supplementary, thus
2x - 6 + x + 3 = 180, that is
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61
3(5j+2)=2(3j-6) do distributed to remove parenthesis 15j+6=6j-3 . Then move all j to left side and the second term to right side 15j-6j=-3-6. Now solve both sides 9j= -9. Now divide both sides by 9 to get j alone to j = -1
Answer:
1. 17,20
2. 40,80
Step-by-step explanation:
1. 5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
pattern is +3
2. 2.5*2=5
5*2=10
10*2=20
20*2=40
40*2=80
pattern is *2
