Kai lives 3 kilometers from school, Brea lives 30,000 meters from school, and Cal lives 30,000 centimeters from school. Which st
1 answer:
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Answer:
The measure of arc ABC is 180 + x ⇒ 1st answer
Step-by-step explanation:
Let us revise some notes about the arcs of a circle
- The measure of an inscribed angle is half the measure of its subtended arc
- The measure of the central angle is equal to the measure of its subtended arc
- If two tangents intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs
∵ CD and AD are two tangents to the given circle
∵ They intersected at point D out side the circle
∵ The measure of ∠ADC = x°
- By using the 3rd note above
∵ The intercepted arcs are arc ABC and arc AC
∴ x° = (measure of arc ABC - measure of arc AC)
- Multiply both sides by 2
∴ 2 x = (measure of arc ABC - measure of arc AC)
- Add measure of arc AC in both sides
∴ 2 x + measure of arc AC = measure of arc ABC ⇒ (1)
∵ The measure of a circle is 360°
∵ The arcs ARC and AC is formed the circle
∴ Measure of arc ABC + measure of arc AC = 360°
- Subtract measure of arc ABC from both sides
∵ Measure of arc AC = 360 - measure of arc ABC ⇒ (2)
- Substitute (2) in (1)
∴ 2 x + 360 - measure of arc ABC = measure of arc ABC
- Add measure of arc ABC to both sides
∴ 2 x + 360 = 2 measure of arc ABC
- Divide both sides by 2
∴ x + 180 = measure of arc ABC
∴ The measure of arc ABC is 180 + x
Answer:
Step-by-step Explanation:
The 44th percentile, , of the given data can be calculated using the kth formula for percentile given as:
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
The data occupying the 10th position on the data set = 28.7
11th = 31.1