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salantis [7]
3 years ago
6

Which of the following equations is equivalent to 2/3 x - 1/2 y = 6? 2x - y = 6 2x - y = 36 4x - 3y = 36

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

\frac{2}{3}x-\frac{1}{2}y=6

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

\frac{2*6}{3}x-\frac{1*6}{2}y=6*6

\frac{12}{3}x-\frac{6}{2}y=36

3. When you simplify the equation, you obtain the following equivalent equation:

4x-3y=36

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Answer:

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Step-by-step explanation:

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3 years ago
Quadrilateral ABCD is a parallelogram. Determine the measure of Angle A
Lunna [17]

Answer:

\huge\boxed{\text{(A)}\  96 \textdegree}

Step-by-step explanation:

<em>A parallelogram has two pairs of identical angles.</em>

The identical angles will be <u>directly opposite from each other</u>.

This means that:

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Therefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.

It's also important to note that all angles in a quadrilateral add up to 360°.

Since we know the measure of each angle, we can add up the expressions for each and find x.

3x + 3x + (x+52) + (x+52) = 360

Let's simplify this equation.

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Now that we know the value of x, let's use it to find the measure of Angle A.

We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.

3(32)=96

So A is 96°

Hope this helped!

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Step-by-step explanation:

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