Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
Answer:
No, it's not a right triangle.
Step-by-step explanation:
1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.
2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.
3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2
4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.
(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)
300 40
------ = -------
x 100
30000=40x
x=750.
The original price was $750