Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
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Answer: 3
Step-by-step explanation:
y-3=2(x+1)
y - 3 = 2x + 2
+3. +3
y=2x+5
-1 is the x value so plug it in where the x is in the equation
y=2(-1) +5
y= -2 + 5
y= 3
The club would have to sell at least 6 t-shirts.
Answer:
m^2-3m-180=0
m=15
Step-by-step explanation:
greater integer = m
small integer = n
we know that m = n+3 or n = m-3
we also know that n*m = 180
replace n for m-3
(m-3)*m=180
or
m^2-3m-180 = 0
(m-15)(m+12)=0
so m = 15 or -12, but since problem states positive, m=15
<span>The factory makes shirts for 9 hours each workday. </span>
