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2 years ago

Which expression is equivalent to (7x - 5) - (3x - 2)

Mathematics

1 answer:

Kryger [21]2 years ago

7 0

Answer:

$4x-3$

Step-by-step explanation:

$(7x-5) -(3x-2)$

Remove unnecessary parentheses

$7x-5-(3x-2)$

When there is a " _" in front of any expression in parentheses , change the sign of each term of the expression.

$7x-5-3x+2$

Collect Like terms by subtracting their Coefficients

$(7-3)x$

Subtract the numbers

$4x-5+2$

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger

$-(5-2)$

Subtract the numbers

$-3$

$4x-3$

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3>Solution:</h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

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3 years ago

Ella works in a music shop and earns $45 per day. She earns an extra $3 for each CD she sells. If Ella wants to earn at least $6

alex41 [277]

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3 years ago

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Aleksandr [31]

Answer:

so this would be the equation

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Total amount of money that they have:

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