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
AB would equal 3.57 or 3.6 rounded as your directions ask because the sides are supposed to be proportional. When you do 21/5, you get 4.2. Then, you can just do 15/4.2 and get 3.57.
Answer:
The solution for y = -1.
Step-by-step explanation:
Given:
....(1)
....(2)
So, to solve for y, first we solve for x in equation (2):

⇒
Dividing both sides by 2,
⇒
Now, substituting the value of x in equation (1):

⇒
⇒
⇒
⇒
⇒
Dividing both sides by 11,
⇒
Therefore, the solution for y = -1.
Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
D is the diameter
in this problem we have

substitute
-----> equation that give the value of the circumference
