Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
Answer:
a) Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Step-by-step explanation:
We are given the following in the question:
In a research, a unit is a single individual or object that is measured.
a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.
Since college students are asked about procrastination, then the unit in this study is college students.
Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.
Since all SUVs cars are considered, the unit in this research is SUV cars
Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Answer:
$25.86
Original price. 30.00
Markdown percent 16%
Markdown 4.14
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
you first have to find the domain by finding where the expression is defined
so the answer would be x>5
Answer:
The probability that next selection is yellow marble = 63%
.
Step-by-step explanation:
Given the selection of yellow marbles = 41 times.
The selection of white marble = 24 times.
Total number of selections made = 65
Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.
