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
Start by distributing the 7 to both terms on the left hand side, and the 5 to both terms on the right hand side.
7(x - 2) = 5(x + 4)
7x - 14 = 5x + 20
Now, to solve for x, start by isolating the variable as much as you can.
7x - 5x = 20 + 14
2x = 34
x = 17
Answer:
Numerical expression 1
Numerical expression 2
Numerical expression 3
Step-by-step explanation:
Numerical expression 1
Numerical expression 2
Numerical expression 3
Answer:
the answer is the right because it has the least negative so its 0. the left is -2 which is less then zero.
Step-by-step explanation:
Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8
