Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
In order to solve this equation, first we
must find the area of the entire circle and then we must find the area that the
people like to plant with flowers. So the angle formed between 2 rock paths is
180 degrees. I am hoping that this answer has satisfied your query about this
specific question.
Answer: x=3/5
Step-by-step explanation:
A.
The rate is 12:2
B.
Set up a proportion:
12/2 = x/5
Multiply 5 to both sides:
60/2 = x
Divide:
30 = x
So he will walk 30 miles in 5 hours.
C.
To find out, we can divide 12 / 2.
12 / 2 = 6 miles per hour
Answer:
-1 and 5
Step-by-step explanation:
