To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.
The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:
![\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substituting with points L(1,6) and M(4,2) we get:
![\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20LM%3D%5Csqrt%5B%5D%7B%284-1%29%5E2%2B%282-6%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B3%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B9%2B16%5E%7B%7D%7D%20%5C%5C%20LM%3D5%20%5Cend%7Bgathered%7D)
Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.
Answer:
radius 4
center (0,10)
Step-by-step explanation:
Answer:
it is 6/2
Step-by-step explanation:
i just know it
Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,


now, we can find slope

now, we can plug values


now, we can use point slope form of line

now, we can plug values

now, we can solve for y

we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y


So, initial value is 25
Answer:
Step-by-step explanation:
<u>Total number of integers from 300 through 780, inclusive:</u>
<u>Number of integers with at least one of digit 1:</u>
- Hundreds - 0,
- Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
- Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
- So in total 50 + 43 = 93
<u>The probability is:</u>
- P = favorable outcomes/total outcomes = 93/481