Answer:
Option C is the correct choice.
Step-by-step explanation:
We are given the coordinates of rectangle and we are asked to find the correct option that describes that diagonals JL and KM are congruent.
Since we that a rectangle have four right angles.
We will use Pythagorean theorem to prove that diagonals JL and KM are congruent.
In triangle KLM we can see that KL is b units long and LM is a units long. By Pythagorean theorem 
In triangle JML we can see that JM is b units long and LM is a units long. By Pythagorean theorem 
Therefore, we can see that 
and option C is the correct choice.
Draw the DE ray away from the BAC angle is the next step to copy the BAC angle
<h3>Further explanation
</h3>
Angles can be formed from two ray lines that have the same starting point
Commonly used terms include foot angle, corner point, and angle size
The magnitude of the angle is usually expressed in degrees
Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters
There are several steps used to copy the BAC angle:
- 2. Draw a circle using the circle tool with center A. The circle will intersect the lines BA and BC at points F and G
- 3. Use the segment tool to create a segment from the circle radius that has been created
- 4. Use the Compass tool and select the segment from the AG radius
- 5. Make a circle with center point D, with the same radius as AG
- 6. Mark the intersection of the circle with the intersection of the DE as H
- 7. Create the FG segment, and use the compass tool to select the FG segment
- 8. Create a circle with center H, which will intersect the circle with center D earlier at the point I
Then the BAC is congruent to the HDI
<h3>Learn more</h3>
circumference of the circle
brainly.com/question/8929610
chord, diameter
brainly.com/question/9969022
the steps for constructing a copy of an angle
brainly.com/question/4292471
Keywords: circle, copy of an angle, segment tool, compass tool, radius
Answer:
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let 
represent the sample mean, the distribution for the sample mean is given by:
On this case 
Solution to the problem
We are interested on this probability
If we apply the Z score formula to our probability we got this:
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.
Answer:
The correct answer is diagonals are equal and bisect each other.
Step-by-step explanation:
A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.
The 12 oz
Step-by-step explanation:
The twelve ounce because if you buys two of them its 2.18 and youll have four more ounces for only 19 more cents than the 20oz
