Answer:
Option (A)
Step-by-step explanation:
By applying the theorem angle theorem in the given triangle,
Sum of exterior angle of a triangle is equal to the sum of opposite interior angles of the triangle.
Therefore, 130° = y° + y°
130° = 2y°
y = 
y = 65°
Therefore, measure of interior angles 'y' of the given triangle will be 65°.
Option (A) will be the answer.
Let 
be the length of a leg. Using the pythagorean theorem, the hypotenuse is
So, the hypotenuse is 
times as long as either leg.
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
The answer to this equation would be X = 3. Hope this helps!
Answer:
A) No...
Step-by-step explanation:
We can check if this triangle is a right triangle by using the Pythagorean Theorem.
- a² + b² = c²
- where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)
Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:
Simplify.
We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.
Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.
This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)
