15. The measure of the second angle in a triangle is four more than the measure of the first angleand the measure of the third angle is eight more than twice the measure of the first angle. Find the measure of each angle.
Alright, since you know the two shapes are similar, this means the scaling ratios are the same, and all sides will produce the same fraction when compared to one another, e.i : LK to BA. You start by making a fraction of the two sides with lengths you know, giving you the fraction 10/3 from BA to LK. Then by cross multiplying in the equation below you get the answer of :
10/3= 4/y to 10y=12. then by dividing by 10 you get the answer of 1.2 cm or A
Question 3: Kimmy and Nicole played a math game at the carnival where they needed to evaluate the following expression: 12 + 36 ÷ (6² ÷ 3²) Kimmy's answer was 21 and Nicole's answer was 12. Who evaluated expression correctly? Then justify your reasoning?
Answers
Kimmy was correct! The order of operations, or PEMDAS, says parentheses are first! So in the parentheses you have to either use exponents or division, but exponents are right after parentheses. So then you have 36/9 which is 4! Then you have addition or division, and division comes first! so 36/4 is 9, then that 9 plus the 12 equals 21!