Evaluate 3z when z=9
2 answers:
You might be interested in
*see attachment for the complete diagram and what is required.
Answer:
✅ST = 7 m
✅SU = 8 m
✅m<R = 46°
✅m<Q = 75°
✅m<S = 59°
Step-by-step explanation:
Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.
Thus:
<P ≅ <S, therefore, m<P = m<S = 59°
<Q ≅ <T, therefore, m<Q = m<T = 75°
<R ≅ <U, therefore, m<R = m<U.
PQ ≅ ST, therefore, PQ = ST
QR ≅ TU, therefore, QR = TU
PR ≅ SU, therefore, PR = SU
Let's find the measure of the following with the information we already know:
✅ST = PQ = 7 m
✅SU = PR = 8 m
✅m<R = 180 - (m<P + m<Q) (sum of ∆)
m<R = 180 - (59°+ 75°) (substitution)
m<R = 180 - 134
m<R = 46°
✅m<Q = m<T = 75°
✅m<S = m<P = 59°
Option A:
Option C:
Option F:
Solution:
Given expression is .
Option A:
Hence is equivalent expression of
.
Option B:
Hence is not equivalent expression of
.
Option C:
(proved in option A)
Hence is equivalent expression of
.
Option D:
Hence is not equivalent expression of
.
Option E: 75
75 is a whole number.
Hence 75 is not equivalent expression of .
Option F:
(proved in option A)
Hence is equivalent expression of
.
Therefore, are all equivalent expressions of
.