8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
20×3 is 60 and if Sarah counted 45 beats in 20 seconds you'd multiply 45 by 3 so it would be 135.
Answer:
Scientific notation is a way of writing long numbers, often with a lot of zeros, in a shorter and easier to read format.
Step-by-step explanation:
As an example I will use 360
first move the decimal so the number is larger than one but less than ten
So the number will be 3.60
to make it equal to 360 it would be 3.6 x 10^2 multiplying 3.6 by 10 to the power of 2 will make it 360. for a more in depth and probably better explination I would check khan academy.
Answer:
The answer is 36 meters long.
Step-by-step explanation:
You start with the difference between 120 and 30 meters. 30 is 1/4 of 120, so all you do is do the opposite with 9. What's 4/1 times more than 9 and you get your answer.
