Answer:
<h2>m∠ABD = 20°</h2>
Step-by-step explanation:
If m∠ABC = 40° and BD is the bisector of ∠ABC, then
(1) m∠ABD = m∠DBC
(2) m∠ABC = m∠ABD + m∠DBC
From (1) and (2) we have:
m∠ABC = 2m∠ABD
Therefore
2m∠ABD = 40° <em>divide both sides by 2</em>
m∠ABD = 20°
I think the greatest number less than 700 with 9 in the tens place and different digits in each of the other places is 698.
I chose 6 to be in the one of hundreds place because it is the greatest number that is less than 7 in the hundreds place. I also chose 8 to be in the ones place because it is different from 6 and 9 and the greatest number in the ones place that is not 9.
Answer:
(10/6)+f
Step-by-step explanation:
9514 1404 393
Answer:
24
Step-by-step explanation:
Let d represent Donald's age now. Then Natali's age now is d+38. The age relationship 5 years ago was ...
(d+38) -5 = 3(d -5)
d +33 = 3d -15 . . . . . eliminate parentheses
48 = 2d . . . . . . . . . . . add 15-d
24 = d . . . . . . . . . . . . . divide by 2
Donald is 24 years old now.
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<em>Alternate solution</em>
You can also work this by considering that 5 years ago, Natalie's age was more than Donald's age by twice Donald's age then. Hence Donald was 38/2 = 19 at that time. Now, Donald is 19+5 = 24.