Solve the simultaneous equations
2 answers:
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Answer:
x=-6.5
Step-by-step explanation:
Answer:
m = 5
Step-by-step explanation:
Since the points are collinear, they all lie on the same line and have the same slope between them.
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)
m = =
= 3
Now calculate the slope using 2 other points and equate to 3
(x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (m, 12)
m = =
= 3 ( multiply both sides by m - 3 )
6 = 3(m - 3) ← divide both sides by 3
2 = m - 3 ( add 3 to both sides )
5 = m
In the figure as we can see -
Angle 32 = Angle DAB (vertically opposite angles)
Angle ABD = 90 degrees
And we know that,
So,
Angle 32 = Angle DAB (vertically opposite angles)
Angle ABD = 90 degrees
And we know that,
So,