Answer`Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
Hope that help, at least a bit.
Answer:
100
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 + 1 = 10 parts
Fiona gets 40 sweets which is 4 parts of the ratio
Divide Fiona's share by 4 to find the value of one part of the ratio
40 ÷ 4 = 10 ← 1 part of the ratio
The total number of sweets is 10 parts , thus
number of sweets in total = 10 × 10 = 100
Answer:
x = 15
Step-by-step explanation:
FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.
Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.
x + 8x + 3x = 180°
12x = 180°
12x/12 = 180/12
x = 15
