9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8
Answer:
+.5
Step-by-step explanation:
Given:
Tangent segment MN = 6
External segment NQ = 4
Secant segment NP =x + 4
To find:
The length of line segment PQ.
Solution:
Property of tangent and secant segment:
If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.



Subtract 16 from both sides.


Divide by 4 on both sides.


The length of line segment PQ is 5 units.
Answer:

Step-by-step explanation:
Given


Required
Solve graphically
See attachment for graph;
The black shade represents
While the green, represents 
Next, determine the intersection points between the two lines
From the attached graph, we have:

<em>Hence, the solution is:</em>