Answer:
Then number of sides then would be 360∘12∘=30 .
Oh boy. I don't know how to solve this off the top of my head so this answer may ramble a bit as I figure it out as I go along.
At least two numbers have to be close in value, one positive and one negative, in order for a+b+c to be true
Let's see, ABC=-12
If one letter was 4, 1, and -3 they would add to 2 and multiply to -12. I got these by just trying a bunch of combinations.
I'm pretty sure these are the right numbers, but which is which we need the AB+BC+AC formula to figure out.
IF: a=4 b=1 c=-3
4 -3 -12 = -11. Wow, first try, for reals!
A equals 4. B=1. C=-3
Would other combinations work?
a=1 b=-3 c=4
-3 + -12 + 4 = -11
Yes, other combinations work as well. Well, you have your numbers and two ways they can go. Hope this helps!
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
4 (25 - y) + 3y = 84
Solve.
100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16
Then:
x = 25 -y
x = 25 - 16
x = 9
So the answer is that there are 9 square tiles and 16 triangular tiles.
Answer:
34x + 45y = 192.25
47x + 16y = 208
Step-by-step explanation:
Let x stand for peaches.
Let y stand for grapes.
Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.
We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.
Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = 
: 
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
