Answer:
Option C is the right choice.
Step-by-step explanation:
The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.
We know that rectangles possess four right angles.
To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.
In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem 
In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem 
Thus, we find that 
and option C is the correct choice.
Response: The accurate statements include:-
There are nearly equal quantities of points located above and below the x-axis.
The points are distributed haphazardly without a distinct pattern.
The total number of points matches that of the scatter plot.
Explanation:
- A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.
Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.
Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.
Response:
The result is $43623.50
Detailed explanation:
This query involves compound interest.
The formula for calculating compound interest is
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Provided information
P= $2,500
r= 10/100= 0.1
t= 30 years
Inserting values into the compound interest formula and calculating A gives us
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The total amount is $43623.50
The balance in her account comes from Jenna’s (A annuity payments)
