Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
- Corresponding angles that are congruent
- Alternate interior angles that are congruent
- Alternate exterior angles that are congruent
- Consecutive interior angles that are supplementary
In the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
∵ ∠2 and ∠3 are in the corresponding position
→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
∴ m∠3 = 40°
The statement which justifies Andrea's statement is "Corresponding angles are congruent"
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
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Answer:
80
Step-by-step explanation:
because if you want to find a common denimeter we have mulitly the deometer to find the answer
sorry if it is wrong
Step-by-step explanation:
y = 4x+1
y–1 = 4x
x = (y–1)/4
