100 POINTS!!!!!!!
1 answer:
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Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,
In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴
Therefore the value of x = 10 units
Answer:
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.
Step-by-step explanation:
Given equation is
To find the second equation to create the given system of equations to have infinitely many solutions :
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.