Answer: option b.
Step-by-step explanation:
To solve this exercise you must keep on mind the identities shown below:
1)
2)
3)
Therefore, to rewrite you must substitute identities and simplify the expression, as following:
Therefore, as you can see, the answer is the option b.
Answer:
15:6:14
Step-by-step explanation:
AB:BD is split into a total of 3+4=7 parts.
AC:CD is split into a total of 3+2=5 parts.
So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).
AB would be (3/7)*35=15.
CD would be (2/5)*35=14
BC would be 35-(15+14)=6
So, the ratio is 15:6:14.
The ones that will have the least area will be the ones that are the thinnest. That is to say, the ones with the greatest width to length (or length to width) ratios would have the smallest area.
The ones with the greatest area would be the ones with the smallest width to length (or length to width) ratios. They would be squares.
Answer:
20
Step-by-step explanation:
Let = the number of problems Anna completed
<u>Using ratios</u>
5 : 8 = : 32
Cross multiply: 5 x 32 = x 8
160 = 8
Divide both sides by 8: 20 =
Therefore, Anna completed 20 problems.
Answer:
C
Step-by-step explanation:
Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself