Answer:
D.
Step-by-step explanation:
<FIL and <AIN are Vertical angles.
Vertical angles are always congruent.
Congruent means the same or equal.
Answer:
Given equation: 
when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

∵8 is the value 
Notice that, we add this both sides so that it maintains the equality.
then;

[
]
Simplify:

The number must be added to complete the square is, 
(2x) + 11 < 44
x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.
Answer:
7 %
Step-by-step explanation:
- i do not know if you use this but I use S.I=P×R/100×T
- S.I=840
- P for principal(the money you borrow or lend) =6000
- T for time=2 years.
- R for rate=???
- In order to find out the rate, you need to substitute all these numbers into their respective places.
- 840=6000×r/100×2
- 6000/100=60
- 840=60×r×2
- 840=120r
- r=7%
See in the explanation
<h2>
Explanation:</h2>
Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
- Horizontal shifts
- Vertical shifts
- Reflections
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
- A coordinate plane.
- An original shape
- Set the original shape in the coordinate plane.
- A rule
- The translated shape
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>
Translation: brainly.com/question/12534603
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