Given :
Let's solve by using midpoint formula :
Hope Helps! :)
(A) Either of
• rotation 180° about point B
• reflection across point B
(B) If the transformation is rigid, the corresponding sides and angles are congruent.
(C) The sequence of letters tells you the correspondence.
AB ⇔ DB
AC ⇔ DE
BC ⇔ BE
∠A ⇔ ∠D
∠ABC ⇔ ∠DBE
∠C ⇔ ∠E
The answer would be 37 I hope this helped
Correct answer is the 3rd one.
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
