Answer:
1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.
Step-by-step explanation:
From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same. This means that these three figures are congruent. Figure 2, however, is not congruent to any of the other 3.
Answer:



Step-by-step explanation:
Given



Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula

For AB





So:

For BC





For AC





So, we have:



By representation



So, we have:



By cosine laws, the angles are calculated using:







Collect like terms


Solve for 


Take arc cos of both sides





Collect like terms


Solve for 


Take arc cos of both sides


For the third angle, we use:
--- angles in a triangle
Make C the subject



P+5= -2
p= -7 ( I subtracted 5 to both sides of the equation)
Answer:
17
Step-by-step explanation:
| -18 + 1|
-18 + 1 = -17
So,
| -17| = 17
This is because if | -a|, then | -a| = a