Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
Answer:
error
Step-by-step explanation:
Let:
x = first consecutive integer (or first side of △)
x + 1 = second consecutive integer (or second side of △)
x + 2 = third consecutive integer (or third side of △)
The formula for a perimeter of △ is simply the addition of three sides (or length). Since the given perimeter is 114 cm,
x + x+1 + x+2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111 /3 = 37 cm
The three sides are 37 cm, 38 cm, and 39 cm.
If they're asking for the nth term, you should use n in your formula, ie.,
a(n) = 6000 * 0.5ⁿ
However, the first term is when n=1, so your formula should really be:
a(n) = 6000 * 0.5⁽ⁿ⁻¹⁾
Then the 8th term is 46.875
