Answer:
A.
Step-by-step explanation:
Answer:
75:80 OR 15:16
Step-by-step explanation:
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
Answer:
q = 6/13, p = 35/13
Step-by-step explanation:
3p + 2q = 9
2p - 3q = 4
_________ (subtract the two equation from each other.)
p + 5q = 5
p = 5 - 5q
2(5 - 5q) - 3q = 4 (substitute value of p into equation)
10 - 10q - 3q = 4
10 - 13q = 4
-13q = -6
<u>q = 6/13</u>
3p + 2(6/13) = 9 (substitute value of q into equation)
3p + 12/13 = 9
3p = 105/13
<u>p = 35/13</u>
<u />
