Just by looking at it, 2 seems to be the correct answer. I mean if you think about it, when the triangle is split in two smaller triangles, side LN is longer than LP so that means x needs to be a small number. I could either be 2 or 1. Well if you look at the big picture, side LM is longer than LN so it’s gonna need to be bigger. If you say x=1 then you are saying 2(1) +4 = 6 (therefore LM is 6) but if you say x=2 then you are saying 2(2) +4 = 8 which makes more sense
If x=2 then you can use the Pythagorean’s theorem
a2 + b2 = c2
4^2 + b^2 = 5^2
16 + b^2 = 25
25-16= 9
b^2= 9
b= 3
Now that we know what NP is we can do Pythagorean’s theorem to figure out what side LP is (we already know it but you can do it again to check lol)
So the answer is 2
1/4 times 2 2/3 = 2/3
Change from a mixed number to improper fraction: 1/4 times 8/3
Multiply across so 1x8/4x3 to get 8/12
Simplify to 2/3
Answer:
5.5 yd
Step-by-step explanation:
The angle opposite to x is 20°
Reason: Alternate interior angles are equal
= tan 20°
x = 15 × tan 20° = 5.459553514 yd
That is 5.5 yd (answer rounded off to nearest tenth).
Step-by-step explanation:
Adjacent angles.
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