Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².
<h3>What is Pythagorean theorem?</h3>
Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.
The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer: prime number-40%, odd number 60%
Step-by-step explanation:I just took the test and got it right
Answer:
6
Step-by-step explanation:
square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.
Answer:
Below are explanations!
Step-by-step explanation:
6) 5^4/5^2 means the ^4 and ^2 needs to subtract from the 5s. This results in 5^2, which equals 25.
7) The 9 as the denominator will cross with the first nine above. This leaves as follows: 9^3 x 9^2 x 9^6 (I don't know if it is a 6 or 0). You may solve from there. Just add all the exponents up.
8)^-6 will be multiplied by ^6, which is ^-36. Therefore, the answer is 5^-36.
The other questions, please, remember to read carefully.