What is the name of the body of water located between the Black Sea and the Aral Sea? A) Caspian Sea B) Lake Baykal C) Lake Mosc
ow D) Mediterranean Sea
2 answers:
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Answer:
m<E = 105°
Explanation:
The ratio of the corresponding side lengths of ∆STU and ∆DEF are equal. That is:
.
According to similarly theorem, if two ∆s are similar, the ratio of their corresponding lengths would be the same. Therefore, ∆STU is similar to ∆DEF.
Since ∆STU ~ ∆DEF, their corresponding angles are congruent. That is:
<S ≅ <D, this means both are 29° each.
<T ≅ <E, this means they are both equal
<U ≅ <F. this means both are 46° each.
Thus:
m<E = 180 - (m<D + m<F) (sum of ∆)
m<E = 180 - (29 + 46) (substitution)
m<E = 180 - 75
m<E = 105°