I draw the two triangles, see the picture attached.
As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.
Angles <span>ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by </span><span>two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.</span>
Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles. Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.
Answer:
This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.
<h3><u>
Step-by-step explanation:</u></h3>
<em>Here is how you can solve this problem:</em>
- Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.
- 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.
Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.
- Subtract 2625 from 37,500.
Let's say that the next year, her car value goes down by 7% again.
THIS IS THE IMPORTANT PART:
<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>
<em>Hope this helps! :) </em>
7x^2 + x -6
You just have to add the same terms x squared + x squared and so on
Supplementary angles are those which sum upto 180°

Complementary are those which sum to 90°

so if you know one angle, you can find other.