2y-x=3/4(-y+1)first distribute
2y-x=-3/4y+3/4 get the y on one side
2y-x+3/4y=3/4 add 3/4y to both sides
2y+3/4y=3/4+x add x to both sides
11/4y=3/4+x now divide by 11/4 (both sides)
y=3/11+4/11x
y=3+4x/11
choice c is the answer
Answer:
y = 25 degrees
Step-by-step explanation:
We start with 115° and x -
115° + x = 180°
x = 180° - 115°
x = 65°
The sum of all of the angles of a triangle will <em>always</em> be 180 degrees -
x + y + 90° = 180°
We substitute x with 65° -
65° + y + 90° = 180°
y = 180° - 65° - 90°
y = 90° - 65°
y = 25°
Answer:
7/12
Step-by-step explanation:
1/4+1/3
the LCM is 12
4+3/7=7/12
=7/12
<span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.
8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42
This gives us
</span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8
Next, combine like terms (constants with constants and variable terms with variable terms).
8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34
Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.
5t + 28 = 6t - 34
5t = 6t - 62
Subtract 6t from both sides.
5t = 6t - 62
-t = -62
Divide both sides by -1.
t = 62
Answer:
t = 62
