3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
Answer:
Y = 3
Step-by-step explanation:
2(4) = 8
Subtract 8 on both sides
-y = -3
Y=3
Answer:
Step-by-step explanation:
FYI,
<em>C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ ) </em>
<em>C ∩ D = ∅ </em>
Answer:
q=14
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given y and x vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 27 when x = 4 , then
27 = 4k ( divide both sides by 4 )
= 6.75 = k
y = 6.75x ← equation of variation
When x = 12 , then
y = 6.75 × 12 = 81
