Answer:
The first incorrect justification is in step 2.
Step-by-step explanation:
<u>Step 2</u>. BC2 = AC • DC
2. BC ÷ DC = BC ÷ AC because triangle ABC is similar to triangle BDC
It's supposed to be AC ÷ BC not BC ÷ AC.
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
As the question say this problem is a practice of the law of cosines!
The law of cosine: c^2=a^2+b^2-2ab*cos*c for any side a, b and c
The law can also be written as c=sqrt(a^2+b^2-2abcosc)
Now use this formula!(note cos 100 degrees is about 0.8623)
c=sqrt(15^2+16^2-2*15*16*cos100)
solving this we can MN is about 23.75
Round this to the nearest tenths now!
We get 23.8!
Thus the answer is D
Answer:
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
Plug in the values
Multiply both sides by √3
Answer: Well if one pound of yogurt cost 55 (cents)
Step-by-step explanation:
Two yogurts cost $1.10
Three yogurts cost $1.65
Four yogurts cost $2.20
Five yogurts cost $2.75
And finally...
Six yogurts cost $3.30
Hope this helps! :)
