Could someone please answer this question!!?
1 answer:
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Option 3:
m∠ABC = 66°
Solution:
Given and ABH is a transversal line.
m∠FAB = 48° and m∠ECB = 18°
m∠ECB = m∠HCB = 18°
<u>Property of parallel lines: </u>
<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>
m∠FAB = m∠BHC
48° = m∠BHC
m∠BHC = 48°
<u>Exterior angle of a triangle theorem: </u>
<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
m∠ABC = m∠BHC + m∠HCB
m∠ABC = 48° + 18°
m∠ABC = 66°
Option 3 is the correct answer.
<u>Answer:</u>
The expected value of construction company is $30500.
<u>Solution:</u>
Given, A construction company is planning to bid on a building contract.
The bid costs $1,500 and has an 80% chance of being accepted.
If accepted, the company will receive $40,000 dollars.
We have to find the expected value.
We know that,
Expected value = probability amount gained by bidding – bid amount
Expected value = 80% x 40000 – 1500
Expected value = 0.8 x 40000 – 1500
Expected value = 32000 – 1500
Expected value = 30500
Hence, the expected value is $30500.