Answer:
are there any options?
Step-by-step explanation:
To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
5x +2 = 5x + 5 (subtract 5x and 2 on both sides)
0 = 3 No solution
How could you change the equation so it has infinitely many solutions?
Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.
What would infinitely many solutions mean in terms of the situation?
x represents the number of tiles they used
Your answer would be yes, they would be parallel.
We can justify this using co-interior angles, which state that 2 angles subtended by parallel lines add up to 180°
We can check this with both angles 3x & x, or 2x & 90°.
If AD and BC are parallel, then 3x + x = 180, and since you already found the value of x we can substitute this in:
3(45) + (45) = 180
135 + 45 = 180
180 = 180
So the co-interior angles do add up to 180°, which means that AD and BC are parallel.
I hope this helps! Let me know if you have any questions :)
Answer:
20
Step-by-step explanation:
The area of a kite is equal to the product of both of its diagonals and 1/2.
First diagonal:
2 + 2 = 4
Second diagonal:
8 + 2 = 10
Find the area.
10 × 4 × 1/2
40 × 1/2
= 20