Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
Solve for x
Subtract 8x from both sides
Add 11 to both sides
Divide both sides by 2
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Answer: The answer is 16.
Step-by-step explanation:
The least common denominator means the same as least common multiple.
3, 6, 9, 12, 16
8, 16
2, 4, 6, 8, 10, 12, 14, 16
A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.
Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Hence the correct answer is C) -23
Further explanation:
We have to put the values of m and n into both expression first separately and then multiply the answers.
Given expressions are:
The values are:
Putting the values in expression 1:
Putting the values of m and n in second expression
Multiplying both expressions:
Hence the correct answer is C) -23
Keywords: Polynomials, Putting values in expressions
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