A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths.
Therefore:
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24 Divide both sides by √2
x = 24 / √2
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
x = 12√2 Answer is B
Answer: Choice C) AA similarity
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We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
Hello there, and thank you for posting your question here on brainly.
Short answer: C. Product of 2 rational numbers = a rational number.
Why?
The numbers are both rational because squared is a result of a number multiplied by itself. Like (3^2 = 9). It turns out as a rational number because you're multiplying by two positive numbers, which always turns out as a rational number. (3^2 * 4^2 ==> 144) [3^2 = 9] [4^2 = 16]
Hope this helped you! ♥
Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)
