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3 years ago

Help me with question 21 to get brainliest

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Step-by-step explanation:

We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!

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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

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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 smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></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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