SOLUTION: Given: http://imgur.com/FRavrl7 Prove: x = 3. {{{Ray AC bisects <BAD}}} (Given) {{{m<BAC = 13x}}} (Given) {{{m<CAD = 6x + 21}}} (?) {{{m<BAC = m<CAD}}} (Definition of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Given: http://imgur.com/FRavrl7 Prove: x = 3. {{{Ray AC bisects <BAD}}} (Given) {{{m<BAC = 13x}}} (Given) {{{m<CAD = 6x + 21}}} (?) {{{m<BAC = m<CAD}}} (Definition of       Log On

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Question 1089988: Given: http://imgur.com/FRavrl7
Prove: x = 3.
Ray+AC+bisects+%3CBAD (Given)
m%3CBAC+=+13x (Given)
m%3CCAD+=+6x+%2B+21 (?)
m%3CBAC+=+m%3CCAD (Definition of angle bisector)
13x+=+6x+%2B+21 (?)
13x+-+6x++=+6x+-+6x+%2B+21 (Addition/Subtraction Property)
7x+=+21 (Substitution Property)
7x%2F7++=+21%2F7 (?)
x = 3 (Substitution Property)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
statement:--------------------------------- reasons:
Ray AC bisects m < BAC+=+13x------------------- (Given)
m < CAD+=+6x+%2B+21--------------also ****GIVEN ****
m < BAC = m <CAD------------------- Definition of angle bisector
13x+=+6x+%2B+21------------------- SUBSTITUION OF VALUES
13x+-+6x+=+6x+-+6x+%2B+21------------------- Addition/Subtraction Property
7x+=+21------------------- Substitution Property
7x%2F7+=+21%2F7------------------( MULTIPLY BOTH SIDES BY 1%2F7)-Multiplication Property of Equality
x+=+3------------------- Substitution Property