Which values of P and Q result in an equation with no solutions? -60x+32=Qx+P
1 answer:
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Answer:
one side =
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² =
x =
which, if you rationalise the denominator, you get:
x =
Answer:
20. x = 5, y = -2
21. x = 11, y = 12
22. x = 22, y = 11
23. x = 11, y = 10
Step-by-step explanation:
20. Opposite sides in the parallelogram are congruent, so
Solve this system of two equations:
Multiply the first equation by 2 and add two equations:
Substitute it into the first equation:
21. Opposite angles in the parallelogram are congruent, so
Consecutive angles are supplementary, so
Solve this system of two equations:
From the second equation
Substitute it into the first equation:
22. Opposite angles in the parallelogram are congruent, so
Consecutive angles are supplementary, so
Solve this system of two equations:
From the first equation
Substitute it into the second equation:
23. Opposite sides in the parallelogram are congruent, so
Solve this system of two equations:
Multiply the second equation by 2 and subtract it from the first equation:
Substitute it into the first equation: