Answer:
Triangles would be congruent through ASA if Angle A is equal to Angle T.
Triangles would be congruent via AAS if Angle B matches Angle P.
Step-by-step explanation:
It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.
Since only two options need to be selected, you can conclude your options there.
Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.
Step-by-step explanation:
To address this inquiry, we use an exponential decay formula:
A = P (1 - r) t
Where:
P = initial price
r = the reduction rate (expressed as a decimal)
t = time in years
A = price after t years
Substituting the known values:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 = -r
0.05 = r
Converted to percentage:
0.05 x 100 = 5%
Please reach out if further clarification is needed or if something was unclear.
Answer:
Answer choice C.
.
Step-by-step explanation:
The entire question is present in the attached figure.
It is established that
The function f(x) is represented by
,
indicating a parabola that opens upward.
The vertex is situated at the point (0,0).
The function g(x) shares the same parabolic shape.
The vertex of g(x) is located at (-3,1).
Therefore,
The transformation from f(x) to g(x) can be described as:
(0,0) transforms to (-3,1).
(x,y) transforms to (x-3,y+1).
This indicates a shift of 3 units to the left and 1 unit upward.
Thus,
The equation for g(x) in vertex form can be expressed as
.
Answer:
w and y are the knights
Step-by-step explanation: