Question 1:
Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle
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Question 2:
Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality
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Question 3:
Angle congruence postulate
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Question 4:
Segment congruence postulate
Answer:
8.28
You have to do 1.38 times 2 and then times 3
112.5 seconds per lap. As you need to convert the minutes to seconds, 7 x 60 = 420 + 30 = 450
450/4 = 112.5
Question 3 ⇒ 6.5 x 
If you move the decimal point in 6.5 seven spaces to the right you would get the number 65,000,000.
Question 4 ⇒ 3.99 x 
4.4 x 
= 0.000044
3.99 x 
= 0.00000399
2.6 x 
= 260
1.85 x 
= 1850
Question 5 ⇒ 0.0072
If you move the decimal point of 7.2 three spaces to the left. Your answer would be 0.0072, the third choice.
Question 6 ⇒
To get the answer to this problem you would count how many decimal places it would take to get your decimal point after 1, which would be 7. But, you want your exponent to be to the power of 10 not 1, so you would simply subtract 1 from 7 (7-1) which would give you 6. So your answer is .
