Note: Consider the side of first triangle is TQ instead of TA.
Given:
Triangles TQM and TPN which share vertex T.

To find:
The theorem which shows that
.
Solution:
In triangle TQM and TPN,
[Given]
[Given]
[Given]
Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.
[SAS]
Therefore, the correct option is C.
Answer:
Step-by-step explanation:
midline: y = -2 (take the average of the min and max)
amplitude = 1.5 (distance from min or max to midline. Always a positive number)
period = 4pi
Answer:
82
Step-by-step explanation:
Let the unknown number be x
If an unknown number is added to 8, this is expressed as;
8 + x
<em>If The sum is then divided by 9 to give the answer 10, then;</em>
<em>(8+x)/9 = 10</em>
<em>Cross multiply</em>
<em>8 + x = 9 * 10</em>
<em>8 + x = 90</em>
<em>x = 90 - 8</em>
<em>x = 82</em>
Hence the unknown number is 82
Answer:
The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm
Step-by-step explanation:
Here, we want to find a rational number that represents the position of the Fish at 4pm
Initially it was at a depth of 2 1/2 ft below the water surface
At 4pm, it went 3 1/4 ft further
Thus, its position with respect to the water surface at 4 pm will be;
2 1/2 + 3 1/4
= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft