The problem express that the fraction of time
worked by the three people need to be equivalent to one person working full
time. This means that the fraction need to add up to one. We know one person
works ½ time on the project and another works one third 1/3 time.
Given:
A = the amount of time that the third person needs
to work on the job to add up to one
1 = ½ +1/3 + A
1 – ½ - 1/3 = A
To subtract the fractions put them all over a
common denominator. Use 3 * 2 as the denominator.
1=6/6, ½ = 3/6, 1/3 = 2/6
A = 6/6 – 3/6 – 2/6
<span>A = 1/6 , The third person must work on the project</span>
<span>AD←→ is tangent to circle M at point D
so
<QDM = 90
given </span><span>∠DMQ is 50
so
</span>∠<span>DQM = 90 - 50
</span><span>∠DQM = 40
answer
</span><span>∠DQM = 40 degrees</span>
Sorry if i am wrong but it's 40
Answer:
It is Commutative property of multiplication.
Have a good day!!
