What is the value of x= (round to the nearest tenth)

As ABC is similar to LMN

AC AB The ratio remain same if we divide numerator and

= denominator by same number

LN LM

AC AB/2 AD

= -

LN LM/2 LO

Let us now work on Triangle ADC and LON

Because Ratio of AC to AD is same Ad to LO these two triangle are also similar hence Ratio of third side DC to No would be also same .

Hence A C/ LM = DC/ NO

16 /9 = x/ 5

x= 16 * 5/9

x= 80/9

That is the answer .

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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