X=2 shown in the work below.
Answer: the length of the arc from her dog house to the hydrant is 69 feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
Answer:B
Step-by-step explanation: Alternate exterior angles theorem
Answer:
A=120
B=165
C=240
Step-by-step explanation:
Given:
Quadrilateral with opposite lines are parallel.
To find:
The value of x
Solution:
Quadrilateral with opposite lines are parallel.
Therefore the quadrilateral is a parallelogram.
In parallelogram, the adjacent angles are supplementary angles.
⇒ 48° + x = 180°
Subtract 48° from both sides.
⇒ 48° + x - 48° = 180° - 48°
⇒ x = 132°
The value of the angle x is 132°.
