Answer:
Median = 13
Step-by-step explanation:
We are given the following data:
16, 15, 13, 12, 17, 14, 11, 9, 11
Formula:
Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17
Median =

Thus, the median of the given data is 13.
Answer:
(a) x = 
(b) x = 
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
= 
Thus,
x + 90 + 76 + 110 + 136 = 
x + 412 = 
x =
- 412
x = 
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
= 
y = 
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 = 
z + 434 = 
z =
- 434
= 
z = 
But, x + z = 
Then;
x +
= 
x =
- 
= 
x = 
Answer:
The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles
Step-by-step explanation:
In triangle ABD:
∠B = ∠D
Thus AB=AC by the property of opposite sides of equal angles are equal
In triangle CBD
∠B = ∠D
Thus CB=CD by the property of opposite sides of equal angles are equal
Thus all four sides of quadrilateral ABCD are equal
And diagonal BD bisects the angles
So, it is a rhombus
Therefore the correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles....
Answer:
b
Step-by-step explanation: