Answer:
<u>1. Using the Pythagorean theorem.</u>
<u>2. Using the ratio 1 : 1 : √2.</u>
Step-by-step explanation:
There are two options to find the value of x:
1. Using the Pythagorean theorem:
Hypotenuse = 5√2 inches and legs are equal in a 90 - 45 - 45 triangle like this.
Hypotenuse² = Leg² + Leg²
(5√2)² = 2Leg²
50 = 2Leg²
50/2 = Leg²
Leg² = 25
√Leg² = √25
Leg = 5 inches ⇒ x = 5
2. Using the ratio 1 : 1 : √2, this way:
1 : 1 : √2
x : x : 5√2
x = 5√2/√2
x = 5 and let's recall that in a 90 - 45 - 45 triangle legs are equal, therefore. ratio is:
5 : 5 : 5√2
D= {-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}
R={-6,-5,-4,-3,-2,-1,1,2,5)
He can save 20 dollars
He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost
10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.
Look at the picture.
I believe the one you have selected is correct.