The value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10. Option C
<h3>How to determine the value</h3>
It is important to note that for line TV to be parallel to line QS, the sides of the triangle must be divided equally.
Thus, we have
RT/TQ = RV/VS
RT = x + 10
TQ = x - 3
RV = x + 10
VS = x
Substitute the value
Cross multiply
(x+ 4) × x = (x + 10) × (x-3)
x² + 4x = x² -3x + 10x -30
Divide through by x²
4x = -3x + 10x - 30
Collect like terms
4x + 3x - 10x = - 30
-3x = -30
x = -30/ -3
x = 10
Thus, the value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10 Option C
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Answer:
<h2>Q = 32</h2>
Step-by-step explanation:
We will check whether the given pair x = 3 and y = 2 is the solution of the first equation.
4(3) - 5(2) = 12 - 10 = 2 CORRECT
Put x = 3 and y = 2 to the equation 6x + 7y = Q:
Q = 6(3) + 7(2)
Q = 18 + 14
Q = 32
Answer:
6
Step-by-step explanation:
they can both be divided by 6
Answer:
A. 110
Step-by-step explanation:
By intersecting chords theorem:
Answer:
<h2>x = -4 ± 2√(3) </h2><h2 />
Step-by-step explanation:
Discriminant Δ = √(8²-4×(1)×(4)) = √(48) = √(4×12) = √(4)×√(12) = 2√(12)
then x = (-8 ± 2√(12))÷2 = -4 ±√(12) = -4 ±√(3×4) = -4 ± 2√(3)