There are certain cases that need to be taken into consideration: 1. If the lines intersect at one point the solution that fits all equations is exactly that point. 2. If the lines do not intersect at only one point the system has no solution because the lines 3. If the system of equations intersects completely overlaps the other line we say that we have an infinite number of solutions that fits the equations.
Answer:
By AAS criteria Δ ABC ≅ Δ ADC
Step-by-step explanation:
See the diagram attached.
We have to prove Δ ABC ≅ Δ ADC
Steps :
Between Δ ABC and Δ ADC
1. CA bisects ∠ BAD, and hence, ∠ CAB = ∠ CAD {Given}
2. ∠ B = ∠ D {Given}
3. Side AC is common to both the triangles.
Hence, by Angle-Angle-Side i.e. AAS criteria Δ ABC ≅ Δ ADC (Proved)
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
Answer:
10 es la respuesta amigo buenas tardes
