By 1795 there were 15 states.
15
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50
Hope I helped:)
Answer:
y = 2x or x = 1/2y or if you would like numerical values then x = 3, y = 6 and z=4
Step-by-step explanation:
x : y = 1 : 2
y : z = 3 : 2
If x : y = 1 : 2 then we know that 1y = 2x ∴ y = 2x or x = 1/2y
If y : z = 3 : 2 then we know that 3z = 2y ∴ z = 2/3y
Parallel lines have the same slope
y - y1 = m(x - x1)
slope(m) = 2/4
(2,5)...x1 = 2 and y1 = 5
now we sub
y - 5 = 2/4(x - 2)
now if there is a typo and ur slope is 3/4....it would be :
y - 5 = 3/4(x - 2)
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41