Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have

Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
Answer:
Measure of segment JL is 20 cm.
Step-by-step explanation:
By applying geometric mean theorem in the given right triangle,





Since,
[By segment addition postulate]

cm
Therefore, measure of segment JL is 20 cm.
Answer:
B.
Step-by-step explanation:
as for my answer please correct if im wrong
(jk)(x)= j (k(x)) = j(9-2x)
= -7(9-2x) = -63 + 14x
but i see there is no such option. may be second option is typo.
so you can select 2nd option
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>
The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
<h3>X Values
</h3>
- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values
</h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined
</h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives


Approximate

Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
brainly.com/question/4219149