Solve the inequality, show your work: -5x + 2 > 37

Mathematics

1 answer:

KengaRu [80]2 years ago

6 0

Let's first move our numbers to the right

by subtracting 2 from both sides.

On the left, the +2 -2 cancels and we have -5x

and on the right, 37 - 2 simplifies to 35.

So we have -5x > 35.

Now divided both sides by -5.

However, when you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So dividing both sides by -5, we have <em>x < -7</em>.

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GalinKa [24]

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B, C, E, F

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The following relationships apply.

the diagonals of a parallelogram bisect each other
the diagonals of a rectangle are congruent
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a rectangle is a parallelogram
a parallelogram with congruent adjacent sides is a rhombus

CEDF has diagonals that bisect each other, and it has congruent adjacent sides. It is a parallelogram and a rhombus, but not a rectangle. (B and C are true.)

ABCD has congruent diagonals that bisect each other. It is a parallelogram and a rectangle, but not a rhombus. (There is no indication adjacent sides are congruent, or that the diagonals meet at right angles.) (E and F are true.)

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