Congruent means they are the same,
A and Q are both the first letters, which mean they would also be the same.
Set the two equations equal to each other, solve for x then solve for angle A.
x-10 = 2x-30
Add 30 to each side:
x+20 = 2x
Subtract 1x from each side:
x = 20
Now replace x with 20 in the equation for A
A = 20-10
Angle A = 10 degrees.
The answer is: [A]: "No solution" .
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Note: Given:
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y = 4x + 8 ;
y = 4x + 2 ;
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Since: "y = y" ;
4x + 8 = 4x + 2 ; which is not true;
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4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;
Note: Suppose: "4x + 8 = 4x + 2" ;
→ Subtract "4x" from each side of the equation:
4x + 8 − 4x = 4x + 2 − 4x ;
to get:
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" 8 = 2 " ; not true ; since "8 ≠ 2" ;
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Also, suppose:
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4x + 8 = 4x + 2 ;
→ Subtract "2" from BOTH SIDES of the equation;
4x + 8 − 2 = 4x + 2 − 2 ;
to get:
4x + 6 = 4x
(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l
But even if we have:
4x + 6 = 4x ;
→ Subtract "4x" from EACH side of the equation:
4x + 6 − 4x = 4x − 4x ;
to get:
6 = 0 ; which is not true; "6 ≠ 0" .
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The correct answer is: [A]: "No solution" .
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Answer:
Elevation in boiling point is mathematically expressed as
ΔTb = Kb X m
where Kb = boiling point elevation constant = 2.53°c/m (for benzene)
m = molality of solution = 3.47 m (given)
∴ ΔTb = 2.53 X 3.47
= 8.779 oC
But, boiling point of benzene = 80.1 oC
∴ Boiling point of solution = 88.879 oC
Now, Depression in freezing point = ΔTf = Kf X m
where, Kf = freezing point depression constant = 5.12°c/m (for benzene)
∴ ΔTf = 5.12 X 3.47
= 17.766 oC
But freezing point of benzene = 5.5 oC
∴ Freezing point of solution = -12.266 oC
Answer:
D) 7, 24, 27 is NOT a right triangle
