The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:
C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.
If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.
Answer:
One of the factors is (7x + 5).
One of the factors is (6y – 7).
Step-by-step explanation:
0.06x+0.08 (1500-x)=106.4
Solve for x
0.06+120-0.08x=106.4
0.06x-0.08x=106.4-120
-0.02x=-13.6
X=13.6÷0.02
X=680 invested at 6%
First transformation.
Duadrilateral ABCD has vertices with such coordinates:
- A(15,10);
- B(15,20);
- C(20,15);
- D(20,5).
Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then
- A(15,10)→A'(15,10);
- B(15,20)→B'(5,10);
- C(20,15)→C'(10,15);
- D(20,5)→D'(20,15).
Second transformation.
1. A reflection across the y axis has a rule:
(x,y)→(-x,y).
Then
- A'(15,10)→A''(-15,10);
- B'(5,10)→B''(-5,10);
- C'(10,15)→C''(-10,15);
- D'(20,15)→D''(-20,15).
2. A translation 20 units down has a rule:
(x,y)→(x,y-20).
Then
- A''(-15,10)→G(-15,-10);
- B''(-5,10)→H(-5,-10);
- C''(-10,15)→I(-10,-5);
- D''(-20,15)→J(-20,-5).
Answer: first blank -B, second blank - B.