Answer:
0.06944444444
Step-by-step explanation:
Answer: 1) Perpendicular
2) Concurrent
Step-by-step explanation:
The distance from a point to a line is the length of the perpendicular segment from the point to the line.
As Perpendicular segment is the shortest distance to the point of the line.
When three or more lines intersect at one point, they are concurrent.
Because Concurrent is a situation when three or more lines intersect each other at a single point.
Answer:
1. A. AC=3IN
2. D AND C
Step-by-step explanation:
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
Therefore, the measure of angle BFE is 62°.
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
