The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
Same side. Locate -3.9 on the number line. Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.
Answer:
3 and - 4
Step-by-step explanation:
Calculate the gradients using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
Line A
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m =
= 3
Line B
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m =
=
= - 4
Answer:
x = -2
Step-by-step explanation:
1) add 2 to both sides to eliminate -2.
5x = -10
2) divide both sides by 5.
x = -2
X is greater than or equal to 5