2n=n-5 subtract n from both sides
n=-5
check...
2(-5)=(-5)-5
-10=-10
4. Supplementary angles together make a straight line (two right angles). So BOE is supplementary to BOC
Answer: ∠BOE
5. Distance and midpoint between (4,-2), (6,8)

midpoint

Answer: distance 2√26, midpoint (5, 3)
6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of 1 - - 4 = 5, so an area of 10(5)=50
Answer: 50
Answer:

Step-by-step explanation:
Given



<em>See attachment</em>
Required
Determine the area of K
First, we need to calculate the length of the rectangle J

This gives:

Divide both sides by 22


So, the length of the rectangle J is 20.
Since both shapes are similar, then:

Substitute the known values:

Express as fraction:

Make Length, the subject of formula



The area of K is:



Answer:
Step-by-step explanation:
hello :
k(n) = n2 – 4
k(–7)=(-7)² – 4 = 49 -4 = 45
2 by 3.5 is the area for the model.
Every 1 is meant to represent 20, so multiply both 2 and 3.5 by 20.
2 * 20 = 40
3.5 * 20 = 70
40 * 70 = 2800 in^2
Every 12 inches is 1 foot so divide 2800 by 12^2 (one square foot), or 144.
2800/144 = 19.44444
Round down because .4 is less than half.
Approximately 19 ft^2