When two angles are a linear pair, the sum of their measures is 180°:
∡1 + ∡ 2 = 180°
Substituting the expressions for the angles, you get:
<span>5y − 8 + 12 + 6y = 180
Solve for y:
11y = 176
y = 176/11
Now, substitute this value in the expression for </span>∠2, which is the one we are interested in:
∡2 = 12 + 6y = 12 + 6×(<span>176/11) = 108°
When two angles are vertical angles, it means that they share the same vertex and they have the same measure, therefore:
</span>∡3 = ∡2 = 108°
Hence, the correct answer is <span>C) 108°. </span>
Answer: 4,450
Step-by-step explanation: you multiply whatever condiment you need by 10 since thats the amount of pizzas being made
Money spent on lawn mower: $360
He has $840-$360=$480
Money spent on gift: $60
He now has $480-$60=$420
Hope this helped! :)
Answer:
2200
Step-by-step explanation:
The variable in this formula is x and the number on it's side is 2200.
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.