Answer:
x = 10
Step-by-step explanation:
3x + 55 = 9x - 5 (add 5 to both sides)
3x + 55 + 5 = 9x - 5 + 5
3x + 60 = 9x (subtract 3x from both sides)
60 = 9x - 3x
60 = 6x (rearrange)
6x = 60 (divide both sides by 6)
x = 60/6
x = 10
<h3>
Answer: 60 degrees</h3>
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Explanation:
The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.
The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.
1/6 of the full perimeter is the arc length
1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60
The central angle of the arc is 60 degrees.
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If you want to use a formula, it would be

where,
A = central angle of the arc
L = arc length
C = circumference
You would plug in L = 1 and C = 6 to find that A = 60
Answer:
(3 - x)(3 + x)(2x + 1)
Step-by-step explanation:
18x - 2x³ + 9 - x² ( factor the first/second and third/fourth terms )
= 2x(9 - x²) + 1 (9 - x²) ← factor out (9 - x²) from each term
= (9 - x²(2x + 1) ← 9 - x² is a difference of squares a² - b² = (a - b)(a + b) )
= (3² - x²)(2x + 1)
= (3 - x)(3 + x)(2x + 1)
Given:
ratio of tulips to roses: 3 to 2.
total of 5 flowers.
50 flowers
Tulips ratio to total flowers is 3 to 5
50 * 3/5 = 150/5 = 30
Roses ratio to total flowers is 2 to 5
50 * 2/5 = 100/5 = 20
Tulips to roses ratio on 50 flowers : 30 to 20.