Answer:
BCG =65
Step-by-step explanation:
DCG + GCB = DCB
We know BCG = 31x+3 and GCD = 12x+2 and BCD = 91
Substituting these in
12x+2 + 31x+3 = 91
Combine like terms
43x +5 = 91
Subtract 5 from each side
43x+5-5 = 91-5
43x = 86
Divide by 43
43x/43= 86/43
x=2
BCG = 31x+3
=31(2)+3
=62+3
=65
m∠BCD = m∠BCG + m∠GCD
We have m∠BCG = 31x + 3, m∠GCD = 12x + 2 and m∠BCD = 91°. Substitute:
91 = (31x + 3) + (12x + 2)
91 = (31x + 12x) + (3 + 2)
91 = 43x + 5 <em>subtract 5 from both sides</em>
86 = 43x <em>divide both sides by 43</em>
2 = x
m∠BCG = 31x + 3 → m∠BCG = 31(2) + 3 = 62 + 3 = 65
Patrick spends $42.50
$8.25 x 4 = $33
$33 + 9.50 =
$42.50
Answer: its 49
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