Step-by-step explanation:
Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC
To prove = ∠3= 49°
Solution:
In figure, m∥n cut by traversal t.
So, ∠DEF = ∠ABC(alternative exterior angles)
∠1 + ∠2 = ∠4 + ∠5
∠ABC = ∠1 + ∠2 = 50° + 48° = 98°
Also given that s bisect angles ∠ABC.
∠4 = ∠5
∠ABC = ∠4 + ∠5 = 98°
∠4 + ∠4 = 98°
2∠4 = 98°
∠4 = 49°
∠4= ∠3 = 49° (vertically opposite angles)
∠3 = 49° ,hence proved
So if Caelyn collected 21 shells in total and her brother collected 4 times as much all you need to do is multiply 21 by 4 and you get your answer which is 84
Any number 1.44 and lower is possible. i dont know too many details, but given this i can figure some out.
Answer:
option 4) x = 14 y = 7
Step-by-step explanation:
We are given a side angle and a side length so we can use trigonometry to find the solution
To find x we can use sine because the given side length is opposite to the angle so,
sin(60) = 
solve for x and you get 14 (make sure you check that your calculator is in degrees)
for either use Pythagorean theorem or remove sine by tangent.