Answer:
Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. We use the symbol ≅ to show congruence. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match.Step-by-step explanation:
Current price is $14.98.
$14.98/.50 = $29.96. This was the price after the 20% mark down. Now calculate the original as follows:
$29.96/.80 = $37.45. This is the original price before all the discounts.
My parents had been fighting since I was a kid. I am 14 now and they still argue every single time. As a teenager, I know there was nothing that I can do. So I made the decision to go to boarding school during high school and now I am studying at oversea university just to get away from them. Don't get me wrong, I love them very much but constantly being in the middle of a fight, I just can't take it anymore. My brother is 13 and I am really glad that he is going to boarding school. It is his own decision and I actually feel sorry for him because I had to left him when I was in high school. We are very close to each other but I had never talk to him about our parents. I'm just waiting for the good time and I believe at these age, he can handle serious discussion. The only peaceful moments that I had at home are mostly the time that I spent with him without my parents. We love to go out just to eat ice cream ,went shopping or just watching cartoons at home. I really miss him. Back to my point, being away from my parents and house is really working for me and I enjoy not having someone arguing with each other 24/7.
When multiplying exponential expressions 7^a and 7^b, you add up the exponents over the same base of 7. This works because the two bases are both 7
So, 7^a*7^b = 7^(a+b) is the answer
Notes:
1) I used the asterisk symbol instead of the 'x' to mean multiply. This is done so we don't confuse the 'x' with a variable.
2) Parenthesis are needed to indicate that all of the "a+b" is the exponent of 7
Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.