Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that,
"The sum of y and x is 80"
This means,
<h3>Step 2: Make use of the facts</h3>
If , then .
We can plug this into the other equation by substitution:
This simplifies to:
Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "".
And now we substitute the value of x, into this.
By solving this out, we get:
So, the value of y is 60.
Partitioning means to find the dividing point between two points.
This is done by prorating the difference in x- and y-coordinates, and adding to the first.
We will take the first point (from A to B) as A(16,8).
The difference is B-A, i.e.
(1,3)-(16,8) = (-15,-5)
2/5 of the difference is (2/5)*(-15,-5) = (-6,-2)
Add the difference to the first coordinates (point A) gives
Point of division = (16,8)+(-6,-2) = (16-6, 8-2) = (10,6)
Answer:
BC = 10
Step-by-step explanation:
Since this is an isosceles triangle
AC = BC
3x-5 = 2x
Subtract 3x from each side
3x-5-3x = 2x-3x
-5 = -x
Multiply each side by -1
5 =x
BC = 2x
=2 *5
BC =10
The answer could be something of the sort like 2/24, because 1/12 can't be simplified, you would just keep multiplying both numbers until you get another fraction equal to 1/12