Answer:
Step-by-step explanation:
We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2
We use the section formula:
We substitute the coordinates and the ratio into the section formula to get:
We simplify to get:
This gives us:
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
Hey there!
He can guess in 4x4x4x4x4x4 or 4096 ways.
Let me know if this helps :)
N=(1/6)rm
Solve for r
To remove the fraction 1/6, we multiply both side by reciprocal 6/1
6N = rm
Now divide by m on both sides
We solved for r
Answer:
For the First Question:
x = 61
y = 61
For the Second Question:
x = 12
y = 7
Step-by-step explanation:
Second question:
96 = 11y + 19
11y = 77
y = 7
96 = 8x
x = 12