Answer:
x =39°
the total interior angles of a triangle is 180°
let the unknown angle be x,
solve:
x + 39 + 102 = 180°
x = 180° - 39° - 102°
x = 39°
Therefore the unknown angle is 39°
Answer:
20y + 5x
Step-by-step explanation:
Combine like terms
12y + 5x + 8y
20y + 5x
Answer:
Step-by-step explanation:
<u>Given:</u>
- The slope m = -5 and point (2, -9)
<u>Use point slope form:</u>
- y - y₁ = m(x - x₁), where (x₁, y₁) is the given point
<u>So the equation is:</u>
- y - (-9) = -5(x - 2)
- y + 9 = -5x + 10
- y = -5x + 1
Let w = number of weeks.
In week w,
Laura has: 720 + 30w
Taylor has: 1200 - 30w
Set the two amounts equal and solve for w, the number of weeks.
720 + 30w = 1200 - 30w
60w = 480
w = 8
They will have the same amount of money in 8 weeks.
Laura will have in 8 weeks:
720 + 30w = 720 + 30 * 8 = 720 + 240 = 960
Taylor will have in 8 weeks:
1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960
They will both have $960 in 8 weeks.