Answer:
1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.
2. Second Option is correct , because by reflecting the shape I across X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.
3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.
4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.
5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option
<span>A home mortgage is usually borrowed for how long? The answer is D 20-30 years. A traditional home mortgage is borrowed for 30 years. In some cases this can be shorter or longer but the typical mortgage is between 20-30 years.</span>
Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
Reduce the number of terms in the expression by operating on like terms
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6
the like terms are the x^2 and x^2 , -3x and 6x and 4 and -6
so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2
This is the simplified form of the original expression
