Answer:
(x2 , y2) = (22,50)
Step-by-step explanation:
Given:
m1 : m2 = 1:4
(x1 , y1) = (7 , 5)
(X ,Y) = (10 ,14)
Find:
(x2 , y2)
Computation:
X = (m1x2 + m2x1) / (m1+m2)
10 = [(1)(x2) + (4)(7)]/(1+4)
10 = [x2 + 28]/5
22 = x2
Y = (m1y2 + m2y1) / (m1+m2)
14 = [(1)(y2) + (4)(5)]/(1+4)
14 = [y2 + 20]/5
70 = y2 + 20
50 = y2
(x2 , y2) = (22,50)
Answer:
x = 16
y = 9
Step-by-step explanation:
Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)
So the two angles add up to 180°
x+19 + 9x + 1 = 180°
combine like terms
10x + 20 = 180
subtract 20
10x = 160
divide by 10
x = 16
Now you can find the measure of the angle marked 9x+1.
9(16) + 1
= 144 + 1
= 145
Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°
3y + 8 + 145 = 180
combine like terms
3y + 153 = 180
subtract 153
3y = 27
divide by 3
y = 9
Answer:
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.
Step-by-step explanation:
There are 6 choose 3 possibilities (combinations).
6C3 = 6!/(6-3)!3!
= 6•5•4/(3•2•1)
= 120/6
= 20
With 20 possibilities, there is a 1 in 20 chance that she will choose her favorite three.
The answer is Option C. 1/20.
It equal -45x + 62x so their u go
