Answer:
The margin of error for the survey is 0.016
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1024
Sample proportion:

We have to find the margin of error associated with a 90% Confidence interval.
Formula for margin of error:


Putting the values, we get:

Thus, the margin of error for the survey is 0.016
ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
<h3>What are Congruent Triangles?</h3>
Congruent triangles are triangles whose corresponding sides are congruent to each other.
The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.
Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
Learn more about congruent triangles on:
brainly.com/question/11457412
Answer:

or

Step-by-step explanation:
we know that
Applying the Pythagorean Theorem in the rectangular pool

where
d is the diagonal of the pool
L is the length of the pool
W is the wide of the pool
we have

substitute the given values

solve for L

simplify

or

Step-by-step explanation:
2⁵ˣ = 8ˣ⁺²
2⁵ˣ = (2³)ˣ⁺²
2⁵ˣ = 2³ˣ⁺⁶
5x = 3x + 6
2x = 6
x = 3
The first x=1
the second x=-7