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:
The advantages & disadvantages of tables,graphs and words have been explained below.
Step-by-step explanation:
The 3 major representation for finding patterns and making predictions are;
1.Tables
2. Graphs
3. Words
This means we want to find the advantages and disadvantages of using tables, graphs and words for finding patterns and making predictions.
1) Tables: Advantage is that we will be able to directly see the exact effect of the input variable on the output. While the disadvantage is that it's very difficult to see patterns.
2) Graphs: Advantage is that we can easily see the pattern of the representation. However the disadvantage is that we can't see the exact values arising from the effect of the input variable on the output.
3) Words: The advantage is that we can describe the data values in clear terms. However, the disadvantage is that we can't get exact values from just the words.
Answer:
1:4
Step-by-step explanation:
Answer:
48 people
Step-by-step explanation:
First, find how many were left after the first stop:
120(0.5)
= 60
Find how many were left after the second stop:
60(0.8)
= 48
So, since the rest got off on the third stop, this means 48 people got off on the third stop.
Answer:
Step-by-step explanation:
Midpoint: (0,3)
Endpoint: (6,-3)
Use the midpoint formula:
Since you already have the midpoint and you need an endpoint, let the unknown endpoint be (x,y). Take the midpoint formula apart:
and 
are the coordinates of the midpoint. Enter the known values of the midpoint into the equations:
Now enter the known endpoint values:
Solve for x. Multiply both sides by 2:
Subtract 6 from both sides:
Now solve for y. Multiply both sides by 2:
Add 3 to both sides:
Now take the values of x and y and turn into a point:
Finito.
