Answer:

Step-by-step explanation:


which can also be written as:

Answer:
C. JK and LM are congruent
Step-by-step explanation:
Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM
To get JK:
We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:
JK =√(x2-x1)²+(y2-y1)²
JK = √(0-(-2))²+(8-8)²
JK = √2²+0²
JK = √4
JK = 2
For the length of LM with coordinate L(1,0), and M(1,-2)
LM = √(1-1)²+(-2-0)²
LM = √0²+(-2)²
LM = √0²+2²
LM = √0+4
LM =√4
LM = 2
Since JK = LM = 2 units, this means that JK and LM are congruent.
<span>34 inches</span>
Explanation:
There are 12 inches to 1 foot. So for 2 feet we have 2 lots of 12
So we have:
<span><span>(2×12)</span> inches +10 inches</span>
<span>24+10 inches</span>
<span>34<span> inches</span></span>
Answer: 
Step-by-step explanation:
Given
Height of rectangle is 
Width is 
The area of the rectangle is given by the multiplication of the height and width

Thus, the area of the rectangle is
.
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
- Addition of 20 points for rolling a 6
- Removal of 3 points for not rolling a 6
The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:


Take LCM


The number of games is 100.
So, the expected gain is:


Hence, the expected total gain is 83 points
Read more about expected value at:
brainly.com/question/13499496