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
<em />
Answer:
84
Step-by-step explanation:
Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.
83+83+83+87 = 336
Divide by the total number of quizzes because they are equally weighted.
336/4 = 84
Her new average score is 84.
-3 is the remainder when you synthetically divide
Since variables x and y are in direct proportion,
Y = 12.5/25 x 40
Y = 0.5 x 40
Y = 20.
step by step answer!
Simplifying
Y = 230 + -45x
Solving
Y = 230 + -45x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
Simplifying
Y = 230 + -45x
