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2 years ago

AB is parallel to CD. AC and BD are perpendicular

Mathematics

1 answer:

Bogdan [553]2 years ago

8 0

Answer:

AB = CD

Step-by-step explanation:

According to the question, data provided is as follows

AB parallel to CD

AC and BD both are perpendicular to AB and CD

Based on the above information, the relationship between AC and BD is

As we know that

Since AC and BD both are perpendicular to AB and CD and these two are parallel. That means they have the same direction as they are parallel

Moreover, in the case of parallel lines, the perpendicular distance between these two lines would remain the same

Therefore

AB = CD

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X + 3y = −4 x + 5y = −6

lesya [120]

For this case we must solve the following system of equations:

$x + 3y = -4\\x + 5y = -6$

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$x = -4-3y\\x = -6-5y$

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$-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1$

We find the value of "x":

$x = -4-3 (-1)\\x = -4 + 3\\x = -1$

Thus, the solution of the system is:

$(x, y): (- 1, -1)$

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$(x, y): (- 1, -1)$

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