What is the missing reason in steps 7 and 8 of the proof? Given: ∆ABC with AB = c, BC = a, AC = b Prove: = = Statement Reason 1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction 2. In ∆ABD, BD = c sin A definition of sine in right triangle 3. In ∆CBD, BD = a sin C definition of sine in right triangle 4. c sin A = a sin C Substitution Property of Equality 5. = dividing throughout by sin A sin C 6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction 7. In ∆BAE, AE = c sin B 8. In ∆CAE, AE = b sin C 9. c sin B = b sin C Substitution Property of Equality 10. = dividing throughout by sin B sin C 11. = = Transitive Property of Equality A. definition of cosine in right triangle B. definition of sine in right triangle C. definition of tangent in right triangle D. Corresponding sides of congruent triangles are equal. E. definition of equilateral triangle

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

b i think

step-by-step explanation:

not really sure

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour