Step-by-step explanation:
line 1 and 2 : parallel
as line 2 is actually
6x + 2y = 8
2y = -6x + 8
y = -3x + 4
so, they have the same slope (factor of x).
line 1 and 3 : neither
the slopes -3 and 3 are not parallel not perpendicular (90°).
line 2 and 3 : neither
as line 2 is parallel to line 1, it has the same relationship to line 3 as line 1.
Answer:
x = 55
Step-by-step explanation:
To find the value of x
3x - 35 = 130 (vertically opposite angles are equal)
3x = 130 +35
3x = 165
x = 165/3
x = 55
Answer:
48 feet
Step-by-step explanation:
At a particular time, objects and their shadows are proportionate.
Therefore, in figure,
AB/FD = BC/DE --- (1)
where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.
From the given information,
BC = 36 feet
FD = 4 feet and DE = 3 feet
(1) becomes
AB/4 = 36/3
AB = 12
AB = 48
Hence, the height of the lighthouse is 48 feet.
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Answer:
-3
Step-by-step explanation:
5•-3=-15
4•-3=-12
-15+3=-12
