Answer:
Step-by-step explanation:
Refraction, rotation and transformation are rigid motions,
so, they produce congruent figures.
Dilation does not preserve side length, so it is not a congruence transformation.
We know that PQ is 21 cm and QR is 5 cm. There are only 2 possible answer for this and you use only one formula. It's called the Pythagorean theorem.
The first possible is this. If the hypotenuse(the longest side of a triangle) is PR, we do:
a² + b² = c² ←Fill in the numbers
21² + 5² = c²
441 + 25 = c²
466 = c²
√466 = 21.12 cm←Possible length
The second possible is this:
5² + b² = 21²
25 + b² = 441
b² = 441 - 25
b² = 416
√416 = 20.4←Another possible answer
Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula
. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So
= 2025. Find the square root of 2025.
= 45. Hope this helped ^^
Answer: slope = -1
Step-by-step explanation:
Count from point (2,0) to point (0,2)
You get 2/2 which simplifies to 1.
However the line is negative so the slope must be negative, giving you a slope of -1 as your final answer.