Suppose you put $150 in the bank for 2 years at a 3% simple annual interest rate. How much interest will you have earned at the
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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°
Answer:
Step-by-step explanation:
{2 + 2w = l
{94 = 2w + 2l
94 = 2w + 2[2 + 2w]
94 = 2w + 4 + 4w
94 = 4 + 6w
- 4 - 4
_________
[Plug this back into both equations above to get the length of 32 feet];
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