Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]
The value of x is 14 degrees.
[Supplementary angles]
Therefore, the value of x is 14 degrees and the value of y is 38 degrees.
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
Answer:
2k³ is the GCF.
Step-by-step explanation:
GCF of 
Finding the factors:
=10k³[Factoring 10k³]
=2×5×k×k×k
=6k³[Factoring 6k³]
=2×3×k×k×k
Common factors in 10k³ and 6k³.
=2×k³
=2k³
Answer:
B shows the associative property
