The equation 12x + 15y = 390 represents the total revenue during a one-day fundraiser. In the equation, x represents the number
2 answers:
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Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC = = 5,09902
BD = = 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
The length of LK is 52 units.
Step-by-step explanation:
According to the Euclidean Geometry, if two triangles are similar, then every pair of respective sides are proportional and reports the same ratio. In this case, we construct the following formula:
(1)
If we know that ,
and
, then the length of
is:
The length of LK is 52 units.