Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
The complete question in the attached figure
we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles
m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°
the answer is
m∡1=115°
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺
Answer:
(-4 , 0)
Step-by-step explanation:
Graph attached
Answer:
= - 
Step-by-step explanation:
Given
=
( cross- multiply )
2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )
2a - 2b = 3a + 6b ( subtract 3a from both sides )
- a - 2b = 6b ( add 2b to both sides )
- a = 8b ( divide both sides by 8 )
-
a = b ( divide both sides by a )
-
= 