Math help please?

im confused with these five math problems from my homework. if anyone could help, i would really appreciate it!!





1. What is the measure of angle ABD if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77 degrees?


A. 7 B. 11 C. 33 D. 44





2. Which of the following interchanges the hypothesis with the conclusion?


A. biconditional B.counterexample C.converse D.definition





3. Choose the property that justifies:


If x= -6, then -6=x


A.Distributive Property for Real Numbers


B.Reflexive Property of Equality


C.Substitution Property of Equality


D.Symmetric Property of Equality


E.Transitive Property of Equality





4. Which of the following is the equation of a line with a zero slope that passes through (2, -4)?


A. y = -4 B. x = 2 C. y = x+4 D. x = y-2





5. Eighteen is the Geometric Mean of 12 and what number?


A. 30 B. 27 C. 24 D. 15

Math help please?
1. its a 4 sides figure? so 3x +4x +77 =360


so 7x = 287 so x=41


the rest is easy
Reply:4. zero slope means the line is horizontal, so the y value never changes.


y = -4








5. mean of 12 and another number x is (12 + x)/2


(12+x)/2 = 18


12+x = 36


x = 24
Reply:1. ABCD is a quadrilateral


so A B C D are in order





now from its figure we can say


%26lt;ABD + %26lt;DBC = %26lt;ABC [ %26lt; represents angle ]





=) 4x + 3x = 77 =) x =11


so %26lt;ABD = 4x = 44 Ans = D


3. B





if a =) b and b =) a means Reflexive property


here


a = x and b = -6





4. equation of a line in slope form





y = mx+c


given slope m = 0


=) y = c passes thru (2,-4) thn -4 = c


=) y = -4 Ans = A





5. let the number = x


so


sqrt(x*12) = 18


=) x*12 = 18*18 = 324


=) x = 27 Ans= B

geranium