Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
The Tenths place because it's the first
M(x, y) = ((x1 + x2)/2, (y1 + y2)/2) = ((-2 + 4)/2, (5 - 9)/2) = (2/2, -4/2) = (1, -2)
Answer:
![RQ\cong UT](https://tex.z-dn.net/?f=RQ%5Ccong%20UT)
Step-by-step explanation:
Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.
From the triangles RQS and UTV
![\angle R\cong \angle U\\\angle S\cong \angle V](https://tex.z-dn.net/?f=%5Cangle%20R%5Ccong%20%5Cangle%20U%5C%5C%5Cangle%20S%5Ccong%20%5Cangle%20V)
The adjacent side to
is RQ and for
is UT.
Similarly, the adjacent side to
is QS and for
is TV.
So, the possible sides that could be congruent by AAS postulate are:
or ![QS\cong TV](https://tex.z-dn.net/?f=QS%5Ccong%20TV)
So, the correct option is ![RQ\cong UT](https://tex.z-dn.net/?f=RQ%5Ccong%20UT)