The coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent
- The given figures are quadrilaterals, in order to determine whether they are similar, we need to check if they are reflections of each other.
- For the Quadrilateral ABCD, the coordinate of A is at A(-1, 1) and for the Quadrilateral DEFG, the coordinate of E is at E(1, 1).
- Note that if an object is reflected over the y-axis the transformation is (x, y)->(-x, y)
- We need to check whether if we reflect the coordinate A over the y-axis we will get coordinate E
Since the coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent
Learn more on reflections here:brainly.com/question/1908648
Answer:
-4x³ - 8y - 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
7 - 6y - 5x³ - 1 + x³ - 7 - 2y
<u>Step 2: Simplify</u>
- [Addition] Combine like terms (x³): -4x³ + 7 - 6y - 1 - 7 - 2y
- [Subtraction] Combine like terms (y): -4x³ - 8y + 7 - 1 - 7
- [Subtraction] Combine like terms: -4x³ - 8y - 1
52/72
13/18 is your answer. Therefore, C.
Let x be the time she ran and y be the time she walked
then distance ran = 25x and distance walked = 5y
so 15x + 5y = 42
and x + y = 4
* second equn. by -5:-
-5x - 5y = -20
add this to the first equn:0
10x = 22
x = 2.2
distance she ran = 2.2 * 15 = 33 km
Answer:
m∠5= 52°
m∠1= 128°
m∠3= 52°
Step-by-step explanation:
Please see the attached picture for the full solution.
Alternatively,
m∠3= m∠5 (vert. opp. ∠s)
m∠3= 52°