(z + 6) / 3 = 2z / 4
this is a proportion, so we cross multiply
(3)(2z) = 4(z + 6)
6z = 4z + 24
6z - 4z = 24
2z = 24
z = 24/2
z = 12 <==
Answer:
The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Step-by-step explanation:
The diameter of a larger circle = d = 40 cm
r = d/2 = 40/2 = 20 cm
The area of the larger circle = πr²
= 3.14 (20)²
= 3.14 × 400
= 1256 cm²
The diameter of a smaller circle = 20 cm
r = d/2 = 20/2 = 10 cm
The area of the smaller circle = πr²
= 3.14 (10)²
= 3.14 × 100
= 314 cm²
Thus,
The area of the larger circle = 1256 cm²
The area of the smaller circle = 314 cm²
Therefore,
The ratio of the area of the larger circle to the area of the smaller circle will be computed as:
reducing the ration into a simpler form
Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
9514 1404 393
Answer:
30°
Step-by-step explanation:
Consecutive interior angles are supplementary when the lines are parallel:
2x +4x = 180°
x = 180°/6
x = 30°
_____
<em>Comment on units</em>
A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)
The first one is multiplying x^4 by itself 4 times and the second one is multiplying x^4 by 4 3 times
