(1/x) - (2x/(1+x^2)) = 0
Multiply by x(x^2+1)
1(x^2+1)+(−2x)(x)=0x(x2+1)
−x^2+1=0(Simplify both sides of the equation)
−x^2+1−1=0−1(Subtract 1 from both sides)
−x^2=−1
−x^2−1=−1−1(Divide both sides by -1)
x^2=1
x=ñ1(Take square root)
x=1 or x=−1
Answer:
3/1
Step-by-step explanation:
Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.
The only angle of triangle DEF we have is ∠E, which is 7. This corresponds with ∠B; this makes the scale factor of ABC to DEF
21/7 = 3/1.
Answer:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer:2.Triangles ABD and CDB are congruent by the SAS postulate.
Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." is perfectly correct.
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." this is also true
so by now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent
2x < 10
Solving:
Divide each side by 2
x < 5
Hope this helps!