Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.
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Explanation:
If we could show that KL = c, then we can tie together the following pairs of segments
- EG = KM = a
- GF = ML = b
- EF = KL = c
Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.
Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.
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Notes:
- SSS = side side side
- CPCTC = corresponding parts of congruent triangles are congruent
Answer:
D Identity Property
Step-by-step explanation:
The identity property is whenever you multiply a number by one, it will always stay the same number.
-23/16 because
-1/2•8/8= -8/16
+-15/16
Answer: D
Step-by-step explanation:
4r-r+3r can be simplified to just 6r
-s-2s-s can be simplified to just -4s
Answer:
55
Step-by-step explanation:
To solve the expression, ![\sqrt[3]{\frac{n}{4}} + \frac{n}{10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7Bn%7D%7B4%7D%7D%20%2B%20%5Cfrac%7Bn%7D%7B10%7D)
substitute n = 500 and simplify according to order of operations.
![\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B4%7D%20%7D%20%2B%20%5Cfrac%7B500%7D%7B10%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%2B50%5C%5C%205%2B50%5C%5C%5C%5C55)
