Answer:
Statement Reasoning
LM=NO Given
∠LMO≅∠NOM. Given
OM=OM Reflexive Property of Equality
ΔLMO=ΔNOM SAS Congruence Postulate
Given:
To find:
The value of 
.
Solution:
We have,
![[\because d(t)=80t]](https://tex.z-dn.net/?f=%5B%5Cbecause%20d%28t%29%3D80t%5D)
Now,
![[\because C(d)=0.09d]](https://tex.z-dn.net/?f=%5B%5Cbecause%20C%28d%29%3D0.09d%5D)
Therefore, the value of is 72.
The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
Answer:
x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Step-by-step explanation:
Given the relation
- {(6, 8), (7, 10), (7, 12), (8, 16),
(10, 16)}
We know that a relation is a function that has only one output for any unique input.
As the inputs or x-values of the relations are:
at x = 6, y = 8
at x = 7, y = 10
at x = 7, y = 12
at x = 8, y = 16
at x = 10, y = 16
If we closely observe, we can check that there is a repetition of x values.
i.e. x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Answer:
The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.
However, we only know that D is congruent to P, not M.
These triangles are not necessarily congruent.
