Hi, I'm happy to help!
Parallel means that two lines are lined up in the same directions and will never intersect even if they were extended forever in directions.
Let's look at the first option of AB, and AD. We can see that both lines intersect at point A, so AB and AD are not parallel.
For the next option of CD and BE, we can see that both lines don't intersect and won't ever even if the lines were extended. So, CD and BE are parallel.
For the third option, we have BC and DE. These lines don't intersect and aren't in line to ever do so. Therefore, BC and DE and parallel.
The last option is AD and BC. These two lines will never meet, but, they aren't line up in the same directions. AD is traveling upwards while BC isn't. Think about being able to make a road out of the two lines, it would never work. AD and BC are not parallel.
<u>To sum it up: You should select the 2nd and 3rd options because those lines are parallel.</u>
<u></u>
I hope this was helpful, keep learning! :D
<span>If a player </span>moves a knight from the location (3, 2) to (5, 1) on a chessboard the translation made is 2 squares up, 1 square left.
If the player moves the knight from (5, 1) to (6, 3), the translation made is <span>2 squares right, 1 square up.</span>
I'm taking "part 3" to mean the 3rd of the posted questions.
If 
, then
Then when 
, we get 
.
First Problem:
angle R and angle S are complementary which means they add to 90 degrees. Think "C" for "Complementary" and "Corner" as in a sharp 90 degree corner. That's how I remember it.
Let's solve for x
(angle R) + (angle S) = 90
(12x-3) + (7x-2) = 90
12x-3 + 7x-2 = 90
(12x+7x)+(-3-2) = 90
19x-5 = 90
19x-5+5 = 90+5
19x = 95
19x/19 = 95/19
x = 5
Since x = 5, we can say
angle R = 12x - 3
angle R = 12*5 - 3
angle R = 60 - 3
angle R = 57 degrees
Final Answer: 57 degrees
-----------------------------------------------------------
Second Problem:
Angle 1 and angle 2 "form a linear pair". This means they are adjacent and supplementary (add to 180 degrees). Put another way, they combine to form a single straight angle or line.
Let's make
x = measure of angle 1
y = measure of angle 2
We're also told that "the measure of angle 2 is six more than twice the measure of angle 1", which basically translates to
y = 2*x + 6
Because the angles (x and y) are supplementary, we can also say
x+y = 180
So we have this system of equations
y = 2x+6
x+y = 180
Start with equation (2). Plug in the equation (1) and solve for x
x+y = 180
x+2x+6 = 180 ... note how y has been replaced with 2x+6
3x+6 = 180
3x+6-6 = 180-6
3x = 174
3x/3 = 174/3
x = 58
Now that we know x, we can find y
y = 2x+6
y = 2*58+6
y = 116+6
y = 122
Final Answer: 122 degrees
12. The
answer is B because the sum of any two sides of a triangle must be greater than the other side.
A. 4 → 4 + 4 is not GREATER than 8
B. 8 → 4 + 8 is greater than 8 and 8 + 8 is greater than 4
C. 12 → 4 + 8 is not GREATER than 12
D. 16 → 4 + 8 is not GREATER than 16
13. The central angle containing the green beans is 360° - (195°+98°) = 67°.
If the diameter of the circle is 12 then the circumference = πd = 12π.
× 12π≈7.013
So the
correct answer is A67/360 represents the portion of the circle which is green beans and you multiply it by the circumference to find the length of that arc.
