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Arturiano [62]
3 years ago
9

How do I solve this

Mathematics
2 answers:
bonufazy [111]3 years ago
8 0
If ABC is ~ to DEF then
AB is ~ to DE
35~x and
BC is ~ to EF
30~15
30/2= 15 So 35/2= 17.5
svet-max [94.6K]3 years ago
5 0
Both triangles are similar because of angle angle similarity.

So you can just make a proportion.

\frac{CB}{BA} = \frac{FE}{x}

Insert the numbers:
\frac{30}{35} =  \frac{15}{x}

Cross multiply: 30x = 520
x = 17.5
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LAW OF SINES??? NEED HELP.​
snow_tiger [21]

Answer:

Step-by-step explanation:

We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180.  So we find angle B:

180 - 82 - 55 = 43

So angle B = 43.  Now we can use the Law of Sines to solve for side b:

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Cross multiply to get

b sin(55) = 8 sin(43) and divide to solve for b:

b=\frac{8sin(43)}{sin(55)} so

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