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:
it would be 53
Step-by-step explanation:
Answer:
Mean: 12.6
Median: 12
Mode: 9, 10, 12, 15, 17
Step-by-step explanation:
Mean: To find the mean you have to add up all your terms and divide your result by the number of terms you have. ((12+9+17+15+10) / 5)
Median: To find the median you have to organize your terms from least to greatest and then find your center term. (12)
Mode: Normally to find your mode would be to organize your terms from least to greatest and see which of your terms occurs the most. In this case all terms occur only once, making all your terms the mode.
Answer:
x = 9
Step-by-step explanation:
Substitute y=6 into 2x+3y=36
2x+3(6) =36
2x + 18 = 36
2x = 18
x = 9
Answer:
<h2>3 and 7</h2>
Step-by-step explanation:
