9 of 10
2 answers:
Answer:
Step-by-step explanation:
- Set up the fraction 27/90
- The numerator (the number above the fraction sign) represents the number of questions Jordan got correct.
- The denominator (the number below the fraction sign) represents the number of questions on the test.
- To simplify this equation, divide the numerator and denominator by their Greatest Common Factor (GCF) or continue dividing the numerator and denominator by the same number
- GCF Method: GCF = 9 so 27/9 = 3 and 90/9 = 10
- Therefore, the fraction is 3/10
- Other Method: You know that 27 and 90 can be divided by 3, so divide both numbers by 3. 27/3 = 9 and 90/3 = 30.
- 9 and 30 can also be divided by 3. 9/3 = 3 and 30/3 = 10.
- Therefore, the fraction is 3/10
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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°