Answer:
See below
Step-by-step explanation:
The ratio of the secants is the same when set up as full length to external length.
Formula
MN/LN = QN/PN
Givens
LN = 22 + 14 = 36
MN = 14
PN = 32
QN = x
Solution
14/36 = x / (32) Multiply both sides by 32
14*32 / 36 = x Combine 14 and 32
448/36 = x Divide by 36 and switch
x = 12.4
Answers
PN (External) = 13 is the closest answer
Length LN = 36
The radius of a circle with the same vertex as a center is 12 units
<h3>Application of Pythagoras theorem;</h3>
To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:

Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: brainly.com/question/24375372
Answer:
(
−
5
,
1
)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<6 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<5 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<4 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<3 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<2 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<1 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>